Pub Date : 2023-12-06DOI: 10.37622/ijde/18.2.2023.363-376
Megha M. Manakame, H. Waghamore
{"title":"Results on Product of Difference Operator Related to Entire Functions","authors":"Megha M. Manakame, H. Waghamore","doi":"10.37622/ijde/18.2.2023.363-376","DOIUrl":"https://doi.org/10.37622/ijde/18.2.2023.363-376","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138598061","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 : 2023-12-06DOI: 10.37622/ijde/18.2.2023.377-396
H. Waghamore, Preetham N. Raj
{"title":"Uniqueness Results on Q-Difference of Meromorphic Functions Using Weakly Weighted Sharing","authors":"H. Waghamore, Preetham N. Raj","doi":"10.37622/ijde/18.2.2023.377-396","DOIUrl":"https://doi.org/10.37622/ijde/18.2.2023.377-396","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138596323","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 : 2023-09-19DOI: 10.37622/ijde/18.2.2023.331-342
Roopa M, Harina P. Waghamore
In this paper, we prove the uniqueness theorems concerning to the difference polynomials. With the concepts of weakly weighted sharing and relaxed weighted sharing we obtain some results which extend and generalizes the earlier results of B. Saha, S. Pal and T. Biswas [19].
{"title":"\"Results Related to Value Distribution and Uniqueness of Entire Functions Concerning with Difference Polynomials\"","authors":"Roopa M, Harina P. Waghamore","doi":"10.37622/ijde/18.2.2023.331-342","DOIUrl":"https://doi.org/10.37622/ijde/18.2.2023.331-342","url":null,"abstract":"In this paper, we prove the uniqueness theorems concerning to the difference polynomials. With the concepts of weakly weighted sharing and relaxed weighted sharing we obtain some results which extend and generalizes the earlier results of B. Saha, S. Pal and T. Biswas [19].","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135014850","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 : 2023-07-18DOI: 10.37622/ijde/18.1.2023.251-265
N. B. N., H. Waghamore
{"title":"Some Results on Uniqueness of Mfunctions Regarding Shifts and Derivatives","authors":"N. B. N., H. Waghamore","doi":"10.37622/ijde/18.1.2023.251-265","DOIUrl":"https://doi.org/10.37622/ijde/18.1.2023.251-265","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86354747","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 : 2022-09-25DOI: 10.37622/ijde/17.2.2022.189-198
S. Balasubramanian, G. V, Rita Samikannu
{"title":"Steady-State Behaviour of Mx/M/Gƞ/1 Queueing System with Catastrophe","authors":"S. Balasubramanian, G. V, Rita Samikannu","doi":"10.37622/ijde/17.2.2022.189-198","DOIUrl":"https://doi.org/10.37622/ijde/17.2.2022.189-198","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89636598","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 : 2022-05-30DOI: 10.37622/ijde/17.1.2022.47-52
S. M. Chinchole, A. Bhadane
{"title":"On Properties of New Fractional Derivative with Mittag-Leffler Kernel of Two Parameters","authors":"S. M. Chinchole, A. Bhadane","doi":"10.37622/ijde/17.1.2022.47-52","DOIUrl":"https://doi.org/10.37622/ijde/17.1.2022.47-52","url":null,"abstract":"","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85336926","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 : 2021-06-30DOI: 10.37622/ijde/16.1.2021.137-168
A. Priyadharshini, R. Rohini, K. Krishnan
In this study, we introduce a Distributed delay to the model to describe the time delays between infection of a CD4+ T-cells, and the emission of viral particles on a cellular level. We begin by determining the existence and stability of the equilibrium. Further We investigate the global stability of the infection-free equilibrium and give sufficient condition for the local stability of the infected steady state is asymptotically stable for all delays. Finally, the numerical simulations are presented to illustrate the analytical results.
{"title":"Analysis of HIV Infection of CD4+ T-Cells with Distributed Delays","authors":"A. Priyadharshini, R. Rohini, K. Krishnan","doi":"10.37622/ijde/16.1.2021.137-168","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.137-168","url":null,"abstract":"In this study, we introduce a Distributed delay to the model to describe the time delays between infection of a CD4+ T-cells, and the emission of viral particles on a cellular level. We begin by determining the existence and stability of the equilibrium. Further We investigate the global stability of the infection-free equilibrium and give sufficient condition for the local stability of the infected steady state is asymptotically stable for all delays. Finally, the numerical simulations are presented to illustrate the analytical results.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76851108","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 : 2021-06-30DOI: 10.37622/ijde/16.1.2021.1-10
V. Rusanov, A. Daneev, A. Lakeyev, Yu. É. Linke
The solvability of the problem of realizing operator functions of an invariant polylinear controller (IPL-controller) of a non-stationary differential system (D-system) of the second order, which allows for two bundles of dynamic processes of the “trajectory, control” type that are induced in this D-system by two different polylinear controllers, to unite these bundles, through the action of the IPL-controller, into a subfamily of admissible solutions of the given Dsystem. The problem under consideration belongs to the type of nonstationary coefficient-operator inverse problems for evolution equations, including hyperbolic ones, in a separable Hilbert space and is solved on the basis of a qualitative study of the properties of continuity and semiadditivity of the RayleighRitz functional operator. The results obtained have applications in the theory of nonlinear infinite-dimensional adaptive dynamical systems for a class of higher-order polylinear differential models.
{"title":"An Inverse Problems for Nonlinear Evolution Equations: Criteria of Existence of an Invariant Polylinear Controller for a Second-Order Differential System in a Hilbert Space","authors":"V. Rusanov, A. Daneev, A. Lakeyev, Yu. É. Linke","doi":"10.37622/ijde/16.1.2021.1-10","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.1-10","url":null,"abstract":"The solvability of the problem of realizing operator functions of an invariant polylinear controller (IPL-controller) of a non-stationary differential system (D-system) of the second order, which allows for two bundles of dynamic processes of the “trajectory, control” type that are induced in this D-system by two different polylinear controllers, to unite these bundles, through the action of the IPL-controller, into a subfamily of admissible solutions of the given Dsystem. The problem under consideration belongs to the type of nonstationary coefficient-operator inverse problems for evolution equations, including hyperbolic ones, in a separable Hilbert space and is solved on the basis of a qualitative study of the properties of continuity and semiadditivity of the RayleighRitz functional operator. The results obtained have applications in the theory of nonlinear infinite-dimensional adaptive dynamical systems for a class of higher-order polylinear differential models.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81080527","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 : 2021-06-30DOI: 10.37622/ijde/16.1.2021.35-46
Khalid Lefrouni, Y. Moubachir, S. Taibi
The ball and plate system is a very unstable and non-linear system. So different studies have been interested in this system to develop new control methods and algorithms. In this article, we propose a state feedback controller based on the Luenberger observer that provides an estimate of the system state. To this end, first, considering the feedback delay in the control loop, we determine the state space model of the Ball-Plate System, and secondly, based on the geometric method and the state feedback control developed in the previous work [7], we synthesized an observer. Finally, we tested the effectiveness of our methodology through simulation.
{"title":"Control of Ball-Plate System with Observer-Based State-Feedback and Geometric Considerations","authors":"Khalid Lefrouni, Y. Moubachir, S. Taibi","doi":"10.37622/ijde/16.1.2021.35-46","DOIUrl":"https://doi.org/10.37622/ijde/16.1.2021.35-46","url":null,"abstract":"The ball and plate system is a very unstable and non-linear system. So different studies have been interested in this system to develop new control methods and algorithms. In this article, we propose a state feedback controller based on the Luenberger observer that provides an estimate of the system state. To this end, first, considering the feedback delay in the control loop, we determine the state space model of the Ball-Plate System, and secondly, based on the geometric method and the state feedback control developed in the previous work [7], we synthesized an observer. Finally, we tested the effectiveness of our methodology through simulation.","PeriodicalId":36454,"journal":{"name":"International Journal of Difference Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79206323","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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