Pub Date : 2024-01-01DOI: 10.21608/ejmaa.2023.220724.1046
Mohamed Mowafy, A. Mostafa, samer madian
{"title":"Inclusion Properties for Classes of Univalent Functions","authors":"Mohamed Mowafy, A. Mostafa, samer madian","doi":"10.21608/ejmaa.2023.220724.1046","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.220724.1046","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"44 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139126529","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 : 2024-01-01DOI: 10.21608/ejmaa.2023.233274.1065
Sk. Nazmul, Utpal Badyakar
{"title":"Soft $S_b$-Metric Spaces and Some of Its Properties","authors":"Sk. Nazmul, Utpal Badyakar","doi":"10.21608/ejmaa.2023.233274.1065","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.233274.1065","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"10 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139129137","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 : 2024-01-01DOI: 10.21608/ejmaa.2023.193654.1006
Roamba Brahima, Zongo Julien, Bamogo Mohamed Bassirou, Zongo Yacouba, Zabsonre Jean de Dieu
. Our study focuses on 1D viscous bilayer shallow water model. The model considered is represented by two superposed immiscible fluids with different physical properties. Each layer is governed by the shallow water equations in one dimension. A regularized model of the considered model has been the subject of some recent studies. Our contribution is to extend the results of the work carried out in [ Nonlinear Analysis, vol (14)2, 1216-1124, (2013) ] by proving the existence of global strong solutions of the considered model.
{"title":"On the existence of global strong solutions to 1D bilayer shallow water model","authors":"Roamba Brahima, Zongo Julien, Bamogo Mohamed Bassirou, Zongo Yacouba, Zabsonre Jean de Dieu","doi":"10.21608/ejmaa.2023.193654.1006","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.193654.1006","url":null,"abstract":". Our study focuses on 1D viscous bilayer shallow water model. The model considered is represented by two superposed immiscible fluids with different physical properties. Each layer is governed by the shallow water equations in one dimension. A regularized model of the considered model has been the subject of some recent studies. Our contribution is to extend the results of the work carried out in [ Nonlinear Analysis, vol (14)2, 1216-1124, (2013) ] by proving the existence of global strong solutions of the considered model.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"42 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139129361","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 : 2024-01-01DOI: 10.21608/ejmaa.2023.232998.1064
T. Oyedepo, A. Ayinde, Edith Didigwu
. In this study, we introduce a computational technique for tack-ling Volterra Integro-Differential Equations (VIDEs) using shifted Vieta-Lucas polynomials as the foundational basis functions. The approach involves adopting an approximative solution strategy through the utilization of Vieta-Lucas polynomials. These polynomials are then integrated into the pertinent VIDEs. Subsequently, the resulting equation is subjected to collocation at evenly spaced intervals, generating a system of linear algebraic equations with unspecified Vieta-Lucas coefficients. To solve this system, we employ a matrix inversion method to deduce the unknown constants. Once these constants are determined, they are incorporated into the earlier assumed approximate solution, thus yielding the sought-after approximated solution. To validate the accuracy and efficiency of this technique, we conducted numerical experiments. The obtained results underscore the outstanding performance of our method in comparison to outcomes found in existing literature. The precision and effectiveness of the approach are further illustrated through the utilization of tables.
.在本研究中，我们介绍了一种使用移位维特拉-卢卡斯多项式作为基础基函数来粘合伏特拉积分微分方程（VIDE）的计算技术。该方法通过利用 Vieta-Lucas 多项式采用近似解法。然后将这些多项式整合到相关的 VIDE 中。随后，在均匀分布的间隔内对所得到的方程进行配位，从而生成一个具有未指定的 Vieta-Lucas 系数的线性代数方程组。为了求解这个系统，我们采用矩阵反演法推导出未知常数。一旦确定了这些常量，就将其纳入先前假定的近似解中，从而得到所需的近似解。为了验证这一技术的准确性和效率，我们进行了数值实验。实验结果表明，与现有文献中的结果相比，我们的方法性能卓越。我们还利用表格进一步说明了该方法的精确性和有效性。
{"title":"VIETA-LUCAS POLYNOMIAL COMPUTATIONAL TECNIQUE FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS","authors":"T. Oyedepo, A. Ayinde, Edith Didigwu","doi":"10.21608/ejmaa.2023.232998.1064","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.232998.1064","url":null,"abstract":". In this study, we introduce a computational technique for tack-ling Volterra Integro-Differential Equations (VIDEs) using shifted Vieta-Lucas polynomials as the foundational basis functions. The approach involves adopting an approximative solution strategy through the utilization of Vieta-Lucas polynomials. These polynomials are then integrated into the pertinent VIDEs. Subsequently, the resulting equation is subjected to collocation at evenly spaced intervals, generating a system of linear algebraic equations with unspecified Vieta-Lucas coefficients. To solve this system, we employ a matrix inversion method to deduce the unknown constants. Once these constants are determined, they are incorporated into the earlier assumed approximate solution, thus yielding the sought-after approximated solution. To validate the accuracy and efficiency of this technique, we conducted numerical experiments. The obtained results underscore the outstanding performance of our method in comparison to outcomes found in existing literature. The precision and effectiveness of the approach are further illustrated through the utilization of tables.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"8 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139129153","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.191335.1008
B. Dhage, Janhavi B. Dhage, S. Dhage
{"title":"Dhage iteration method for an algorithmic approach to local solution of the nonlinear second order ordinary hybrid differential equations","authors":"B. Dhage, Janhavi B. Dhage, S. Dhage","doi":"10.21608/ejmaa.2023.191335.1008","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.191335.1008","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44731635","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.298748
M. Diop, A. Ndiaye, Mbarack Fall, Mariam B Traoré
{"title":"New discussion on global existence and attractivity of mild solutions for nonautonomous integrodifferential equations with state-dependent delay","authors":"M. Diop, A. Ndiaye, Mbarack Fall, Mariam B Traoré","doi":"10.21608/ejmaa.2023.298748","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.298748","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47804822","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.206319.1029
N. Ozgur, N. Taş
{"title":"On $S$-metric spaces with some topological aspects","authors":"N. Ozgur, N. Taş","doi":"10.21608/ejmaa.2023.206319.1029","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.206319.1029","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68493560","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.206074.1028
Preetham Raj, Harina Waghamore
. The Riemann zeta function and its various generalizations have been extensively studied by mathematicians worldwide. The L -functions are Selberg class functions with Riemann zeta function as the prototype and since L -functions are analytically continued as meromorphic functions, it is convenient to study the value distribution and uniqueness problems on L -functions and arbitrary meromorphic functions. Further, the fact that L -functions neither have a pole nor zero at the origin, but is having only possible pole at s = 1 helps us to study some of the classical results of Boussaf et al. [3] in terms of a L -function and an arbitrary meromorphic function. In this paper, by using the concept of weighted sharing and least multiplicity, we study the value distribution of a L -function and an arbitrary meromorphic function when certain type of differential polynomials generated by them share a non-zero small function with finite weight. Our results extends and improves the classical results due to Boussaf et al. (Indagationes Mathematicae 24(1):15-41, 2013).
{"title":"UNIQUENESS RESULTS ON DIFFERENTIAL POLYNOMIALS GENERATED BY A MEROMORPHIC FUNCTION AND A L-FUNCTION","authors":"Preetham Raj, Harina Waghamore","doi":"10.21608/ejmaa.2023.206074.1028","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.206074.1028","url":null,"abstract":". The Riemann zeta function and its various generalizations have been extensively studied by mathematicians worldwide. The L -functions are Selberg class functions with Riemann zeta function as the prototype and since L -functions are analytically continued as meromorphic functions, it is convenient to study the value distribution and uniqueness problems on L -functions and arbitrary meromorphic functions. Further, the fact that L -functions neither have a pole nor zero at the origin, but is having only possible pole at s = 1 helps us to study some of the classical results of Boussaf et al. [3] in terms of a L -function and an arbitrary meromorphic function. In this paper, by using the concept of weighted sharing and least multiplicity, we study the value distribution of a L -function and an arbitrary meromorphic function when certain type of differential polynomials generated by them share a non-zero small function with finite weight. Our results extends and improves the classical results due to Boussaf et al. (Indagationes Mathematicae 24(1):15-41, 2013).","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135806204","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.191325.1001
N. S. H., Chaithra C. N., Jayarama H. R.
{"title":"ON THE TRANSCENDENTAL SOLUTION OF THE FERMAT TYPE Q-SHIFT EQUATION","authors":"N. S. H., Chaithra C. N., Jayarama H. R.","doi":"10.21608/ejmaa.2023.191325.1001","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.191325.1001","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49383119","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 : 2023-07-01DOI: 10.21608/ejmaa.2023.198089.1012
Samuel Adamu
. Forward-backward sweep approach is used to solve optimal control problems utilizing a collocation hybrid second derivative block method using polynomial approximate solution via pontryagin’s principle. The block method is formulated from the discrete linear multistep methods. Also, the forward algorithms, backward algorithm written. The stability properties of the block method are analyzed and proved to be stable, convergent and of order 6. The algorithm is implemented with a written MATLAB code, and three optimal control problems are solved to test the accuracy of the approach, which the numerical examples show that, forward-backward sweep methods together with block method via Pontryagin’s principle are more accurate than when solving optimal control problems with the traditional classical Runge-Kutta method. This research work therefore established that block method can be combined with forward backward sweep method using Pontryagin’s principle to solve optimal control problems and produce more accurate result than using the traditional classical Runge-Kutta method.
{"title":"Numerical Solution of Optimal Control Problems using Block Method","authors":"Samuel Adamu","doi":"10.21608/ejmaa.2023.198089.1012","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.198089.1012","url":null,"abstract":". Forward-backward sweep approach is used to solve optimal control problems utilizing a collocation hybrid second derivative block method using polynomial approximate solution via pontryagin’s principle. The block method is formulated from the discrete linear multistep methods. Also, the forward algorithms, backward algorithm written. The stability properties of the block method are analyzed and proved to be stable, convergent and of order 6. The algorithm is implemented with a written MATLAB code, and three optimal control problems are solved to test the accuracy of the approach, which the numerical examples show that, forward-backward sweep methods together with block method via Pontryagin’s principle are more accurate than when solving optimal control problems with the traditional classical Runge-Kutta method. This research work therefore established that block method can be combined with forward backward sweep method using Pontryagin’s principle to solve optimal control problems and produce more accurate result than using the traditional classical Runge-Kutta method.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49138029","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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