Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.151-163
N. Mandal, N. Datta
In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions uniquely determined concerning weighted sharing of small or rational functions. Our results improve and generalize some recent results due to W. J. Hao, J. F. Chen [3], W. Q. Zhu, J. F. Chen [16] and N. Mandal, N. K. Datta [10]. 2010 Mathematics Subject Classification: 11M36, 30D35
本文研究了扩展Selberg类中l -函数的值分布。证明了关于小函数或有理函数的加权共享如何唯一确定l函数的差分微分多项式和亚纯函数的差分微分多项式的两个定理。我们的研究结果改进和推广了最近的一些研究结果，这是由于Hao W. J. J. F. Chen [3]， Zhu W. Q. Chen[16]和N. Mandal, N. K. Datta[10]。2010数学学科分类:11M36, 30D35
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Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.231-242
W. Ling, A. A. Dahalan, A. Saudi
Mobile robot path navigation is a crucial subject in robotics research and development. The navigation efficiency of a robot correlates directly with its overall performance. With persistent technological growth, the improvement potentials for autonomous robotic remains vast. The objective of this paper is to investigate the performance of the iteration technique called Accelerated Overrelaxation 9-Point (AOR-9P) Laplacian in enabling path navigation for mobile robots. This technique is a derivation from Laplace's equation which is used to calculate the potential fields in the 2-dimensional configuration space representation of an environment. The robotic path navigations are performed in a simulation called Robot 2D Simulator, written in Delphi Project software. After obtaining the solutions generated through AOR-9P iterative technique, the Gradient Descent Search (GDS) technique is employed to determine the best path for the mobile robot to traverse on. The performance of AOR-9P is examined by comparing the number of iterations needed to complete the navigation process. Results shown that AOR-9P enabled path navigation requires the least number of iterations to complete, thus having better performance than its predecessor techniques. In the same time, the paths produced are generally smooth and unobstructed all the way towards the goal point. For future improvements, it is recommended that the Half-Sweep (HS) and Quarter-Sweep (QS) approach to be introduced on AOR-9P iteration technique to improve its performance in solving the mobile robot path navigation problem.
{"title":"Mobile Robot Path Navigation in Static Indoor Environment via AOR 9-Point Laplacian Iteration Numerical Technique","authors":"W. Ling, A. A. Dahalan, A. Saudi","doi":"10.37622/IJDE/15.2.2020.231-242","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.231-242","url":null,"abstract":"Mobile robot path navigation is a crucial subject in robotics research and development. The navigation efficiency of a robot correlates directly with its overall performance. With persistent technological growth, the improvement potentials for autonomous robotic remains vast. The objective of this paper is to investigate the performance of the iteration technique called Accelerated Overrelaxation 9-Point (AOR-9P) Laplacian in enabling path navigation for mobile robots. This technique is a derivation from Laplace's equation which is used to calculate the potential fields in the 2-dimensional configuration space representation of an environment. The robotic path navigations are performed in a simulation called Robot 2D Simulator, written in Delphi Project software. After obtaining the solutions generated through AOR-9P iterative technique, the Gradient Descent Search (GDS) technique is employed to determine the best path for the mobile robot to traverse on. The performance of AOR-9P is examined by comparing the number of iterations needed to complete the navigation process. Results shown that AOR-9P enabled path navigation requires the least number of iterations to complete, thus having better performance than its predecessor techniques. In the same time, the paths produced are generally smooth and unobstructed all the way towards the goal point. For future improvements, it is recommended that the Half-Sweep (HS) and Quarter-Sweep (QS) approach to be introduced on AOR-9P iteration technique to improve its performance in solving the mobile robot path navigation problem.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81698342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.197-214
Thiti Prasertjitsun, Walailuck Chavanasporn, S. Koonprasert
In this paper, we propose a discrete addictive buying model including two controls: influencer and voucher marketing campaign in order to describe the dynamic of behavior between the classes of buyers, namely, rational buyers, excessive buyers, and addictive buyers. The model also associate with the Consumer Confidence Index (CCI) in Thailand. Identifications of consumer’s buying behavior were done by fitting curve techniques based on real databases of CCI, or activity of buyers. We apply Pontryagin’s maximum principle in discrete time that is used to characterize the optimal controls and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB program.
{"title":"Determination of An Optimal Control Strategies for The Discrete Time Addictive Buying Model with The Consumer Confidence Index","authors":"Thiti Prasertjitsun, Walailuck Chavanasporn, S. Koonprasert","doi":"10.37622/IJDE/15.2.2020.197-214","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.197-214","url":null,"abstract":"In this paper, we propose a discrete addictive buying model including two controls: influencer and voucher marketing campaign in order to describe the dynamic of behavior between the classes of buyers, namely, rational buyers, excessive buyers, and addictive buyers. The model also associate with the Consumer Confidence Index (CCI) in Thailand. Identifications of consumer’s buying behavior were done by fitting curve techniques based on real databases of CCI, or activity of buyers. We apply Pontryagin’s maximum principle in discrete time that is used to characterize the optimal controls and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB program.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"854 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72727555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.259-274
K. S. Khee Yong Si, Ming Ha Lee, Xinying Chew, M. Lau, Kong Melinda, H. H. Then Patrick, S. Rashid
Objective: The purpose of this study is to investigate the effect of measurement errors on the economic design of the double sampling (DS) X chart. Methods/Statistical analysis: The economic design of the DS X chart with measurement errors is investigated by using the linear covariate error model. The optimal design parameters of the DS X chart are determined through the minimization of the cost function. The effect of the measurement errors is evaluated based on the numerical example over a wide range of the parameters of the measurement errors, where the parameters of the measurement errors are the coefficient B and the measurement error ratio. Findings: The numerical results show that an increase in the value of the coefficient B or a decrease in the value of the measurement error ratio in the linear covariate error model leads to the lower false alarm rate and cost with more frequent sampling interval and 260 K. S. Khee Yong Si et al smaller number of multiple measurements per item. It can be noticed that the sample sizes at the first and second stages of the DS scheme as well as the out-of-control statistical performance of the DS X chart are robust to the measurement errors. In addition, the warning and control limits of the DS X chart are also not affected by the measurement errors. Application/Improvements: An example is provided to illustrate the implementation of the economic design of the DS X chart with measurement errors.
{"title":"The Economic Design of the Double Sampling X Chart with Measurement Errors","authors":"K. S. Khee Yong Si, Ming Ha Lee, Xinying Chew, M. Lau, Kong Melinda, H. H. Then Patrick, S. Rashid","doi":"10.37622/IJDE/15.2.2020.259-274","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.259-274","url":null,"abstract":"Objective: The purpose of this study is to investigate the effect of measurement errors on the economic design of the double sampling (DS) X chart. Methods/Statistical analysis: The economic design of the DS X chart with measurement errors is investigated by using the linear covariate error model. The optimal design parameters of the DS X chart are determined through the minimization of the cost function. The effect of the measurement errors is evaluated based on the numerical example over a wide range of the parameters of the measurement errors, where the parameters of the measurement errors are the coefficient B and the measurement error ratio. Findings: The numerical results show that an increase in the value of the coefficient B or a decrease in the value of the measurement error ratio in the linear covariate error model leads to the lower false alarm rate and cost with more frequent sampling interval and 260 K. S. Khee Yong Si et al smaller number of multiple measurements per item. It can be noticed that the sample sizes at the first and second stages of the DS scheme as well as the out-of-control statistical performance of the DS X chart are robust to the measurement errors. In addition, the warning and control limits of the DS X chart are also not affected by the measurement errors. Application/Improvements: An example is provided to illustrate the implementation of the economic design of the DS X chart with measurement errors.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76613258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.275-282
Yiting Peng, Justine S. Chang, Jia-Ying Zhang
The study mainly examines whether there is effect of intangible assets on capital structure. Test was conducted on data of electronic industry in Taiwan for seven years prior and after the adoption of IFRS. Result of the study showed that the effect of intangible assets on companies’ capital structure is positive, yet not significant, before the adoption of IFRS, but is significantly positive after the adoption of IFRS. Tangible assets also appear to have significantly positive effect on companies’ capital structure both before and after the adoption of IFRS. Thus, the importance of intangible assets in measuring companies’ solvency upon financing is yet to be studied further.
{"title":"The Effect of Intangible Assets on Capital Structure","authors":"Yiting Peng, Justine S. Chang, Jia-Ying Zhang","doi":"10.37622/IJDE/15.2.2020.275-282","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.275-282","url":null,"abstract":"The study mainly examines whether there is effect of intangible assets on capital structure. Test was conducted on data of electronic industry in Taiwan for seven years prior and after the adoption of IFRS. Result of the study showed that the effect of intangible assets on companies’ capital structure is positive, yet not significant, before the adoption of IFRS, but is significantly positive after the adoption of IFRS. Tangible assets also appear to have significantly positive effect on companies’ capital structure both before and after the adoption of IFRS. Thus, the importance of intangible assets in measuring companies’ solvency upon financing is yet to be studied further.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76326016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.243-258
Nani Lee Yer Fui, A. Asmawi, M. Hussin
Abstract of thesis presented to the Senate of Universiti Putra Malaysia in fulfilment of the requirement for the degree of Master of Information Security Abstract: Cloud Computing platform is the practices of remote manage network resources such as storage, application hosted on the internet rather than physical server or personal computer. Hence cloud computing not only provides high availability on elastic resources, scalable and cost efficient. This is why this this platform is widely used in information technology (IT) to support technology infrastructure and services. However, due to the complexity environment and scalability of services, one of a highest security issue is malware attacks; where some of the antivirus scanner unable to detect metamorphic malware or encrypted malware where these kind of malware
{"title":"A Dynamic Malware Detection in Cloud Platform","authors":"Nani Lee Yer Fui, A. Asmawi, M. Hussin","doi":"10.37622/IJDE/15.2.2020.243-258","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.243-258","url":null,"abstract":"Abstract of thesis presented to the Senate of Universiti Putra Malaysia in fulfilment of the requirement for the degree of Master of Information Security Abstract: Cloud Computing platform is the practices of remote manage network resources such as storage, application hosted on the internet rather than physical server or personal computer. Hence cloud computing not only provides high availability on elastic resources, scalable and cost efficient. This is why this this platform is widely used in information technology (IT) to support technology infrastructure and services. However, due to the complexity environment and scalability of services, one of a highest security issue is malware attacks; where some of the antivirus scanner unable to detect metamorphic malware or encrypted malware where these kind of malware","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85919957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.37622/IJDE/15.2.2020.165-189
Y. Al-jarrah
Framelets methods are a very useful tool in the approximation for the piecewise smooth functions, and have fast decomposition and reconstruction algorithms associated with them. In this article, we present a numerical method for solving linear and nonlinear Volterra integral equations of the first and second kinds. Our method is based on the use of quasi-affine tight framelets systems generated by the unitary extension principle and oblique extension principle. Many different examples of framelets systems and their graphs are provided. The solution of the integral equation is based on converting the integral equation to a system of linear equations. We prove the convergence theorem for the numerical solution of linear Volterra integral equation of the second kind. Finally, we present numerical examples of solving linear and nonlinear Volterra integral equations to ensure the validity of our method. Comparisons of the results with other methods are included in the examples.
{"title":"On the Approximation Solutions of linear and nonlinear Volterra Integral Equation of First and Second kinds by Using B-spline Tight Framelets Generated by Unitary Extension Principle and Oblique Extension Principle","authors":"Y. Al-jarrah","doi":"10.37622/IJDE/15.2.2020.165-189","DOIUrl":"https://doi.org/10.37622/IJDE/15.2.2020.165-189","url":null,"abstract":"Framelets methods are a very useful tool in the approximation for the piecewise smooth functions, and have fast decomposition and reconstruction algorithms associated with them. In this article, we present a numerical method for solving linear and nonlinear Volterra integral equations of the first and second kinds. Our method is based on the use of quasi-affine tight framelets systems generated by the unitary extension principle and oblique extension principle. Many different examples of framelets systems and their graphs are provided. The solution of the integral equation is based on converting the integral equation to a system of linear equations. We prove the convergence theorem for the numerical solution of linear Volterra integral equation of the second kind. Finally, we present numerical examples of solving linear and nonlinear Volterra integral equations to ensure the validity of our method. Comparisons of the results with other methods are included in the examples.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89450446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-01DOI: 10.37622/ijde/15.1.2020.107-126
C. Behera, R. Rath
In this article, sufficient conditions are obtained for the oscillation of all solutions of the second-order neutral delay difference equation
得到了二阶中立型时滞差分方程所有解振动的充分条件
{"title":"Oscillation and Asymptotic Behavior of Second-Order Neutral Delay Difference Equations with Variable Delays","authors":"C. Behera, R. Rath","doi":"10.37622/ijde/15.1.2020.107-126","DOIUrl":"https://doi.org/10.37622/ijde/15.1.2020.107-126","url":null,"abstract":"In this article, sufficient conditions are obtained for the oscillation of all solutions of the second-order neutral delay difference equation","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78169014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-05DOI: 10.37622/ijde/14.1.2019.75-89
Y. Raffoul
This paper is first in a series of papers in which we consider the vector nonconvolution Volterra summation equation x(t) = a(t)− t−1 ∑ s=0 C(t, s)x(s), t ∈ Z where x and a are k-vectors, k ≥ 1, while C is an k × k matrix. Fixed point theorem, combined with resolvent and Lyapunov functionals are utilized to obtain conditions for boundedness of solutions, the existence of asymptotically periodic solution and the decay of solutions to zero. AMS Subject Classifications: 34D20, 34D40, 34K20.
{"title":"Qualitative Analysis of Nonconvolution Volterra Summation Equations","authors":"Y. Raffoul","doi":"10.37622/ijde/14.1.2019.75-89","DOIUrl":"https://doi.org/10.37622/ijde/14.1.2019.75-89","url":null,"abstract":"This paper is first in a series of papers in which we consider the vector nonconvolution Volterra summation equation x(t) = a(t)− t−1 ∑ s=0 C(t, s)x(s), t ∈ Z where x and a are k-vectors, k ≥ 1, while C is an k × k matrix. Fixed point theorem, combined with resolvent and Lyapunov functionals are utilized to obtain conditions for boundedness of solutions, the existence of asymptotically periodic solution and the decay of solutions to zero. AMS Subject Classifications: 34D20, 34D40, 34K20.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81691566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-04DOI: 10.37622/ijde/14.1.2019.59-74
M. Kulenović, S. Beaver
{"title":"Global Dynamics of a Cooperative System with Ceiling Density Dependence","authors":"M. Kulenović, S. Beaver","doi":"10.37622/ijde/14.1.2019.59-74","DOIUrl":"https://doi.org/10.37622/ijde/14.1.2019.59-74","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78825504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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