Pub Date : 2021-06-20DOI: 10.30546/2409-4994.47.1.24
H. Tunc, Murat Sari
{"title":"A stabilized discontinuous Galerkin method for the nonlinear advection-diffusion processes","authors":"H. Tunc, Murat Sari","doi":"10.30546/2409-4994.47.1.24","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.24","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"9 Pt 4 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83980696","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 : 2021-06-20DOI: 10.30546/2409-4994.47.1.78
Aslı Ayar, B. Şahin
{"title":"A New Planar Bezier-Like Spiral Defined by Exponential Functions And Transition Curves","authors":"Aslı Ayar, B. Şahin","doi":"10.30546/2409-4994.47.1.78","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.78","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79150043","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 : 2021-06-20DOI: 10.30546/2409-4994.47.1.67
Habil Fattayev
{"title":"Para-complex structures on linear coframe bundle with Sasakian metric","authors":"Habil Fattayev","doi":"10.30546/2409-4994.47.1.67","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.67","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"75 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89825982","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 : 2021-06-20DOI: 10.30546/2409-4994.47.1.99
A. Bellour, Khaoula Rouibah
{"title":"Iterative Continuous Collocation Method for Solving nonlinear Volterra Integro-differential Equations","authors":"A. Bellour, Khaoula Rouibah","doi":"10.30546/2409-4994.47.1.99","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.99","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"31 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81010587","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 : 2021-06-20DOI: 10.30546/2409-4994.47.1.15
F. Mamedov, Shahla Yu. Salmanova
{"title":"On strong solvability of the Dirichlet problem for a class of semilinear elliptic equations with discontinuous coefficients","authors":"F. Mamedov, Shahla Yu. Salmanova","doi":"10.30546/2409-4994.47.1.15","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.15","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"20 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91316168","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 : 2021-06-10DOI: 10.30546/2409-4994.47.1.156
J. Manafian
{"title":".An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs","authors":"J. Manafian","doi":"10.30546/2409-4994.47.1.156","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.156","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"27 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77082878","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 : 2021-06-10DOI: 10.30546/2409-4994.47.1.124
S. Bayramov, C. Gunduz, Kemale Veliyeva
{"title":"Intuitionistic Fuzzy Topology on Soft Sets","authors":"S. Bayramov, C. Gunduz, Kemale Veliyeva","doi":"10.30546/2409-4994.47.1.124","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1.124","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"298 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80196995","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 : 2021-06-10DOI: 10.30546/2409-4994.47.1/183
K. Aida-zade, V. A. Hashimov, A. H. Bagirov
The problem of synthesis of control of power of the moving sources according to the given rules and trajectories under heating the rod is considered. The current values of the controls are determined depending on the values of the temperature of the rod at the points of measurement. Formulas for the components of the gradient of the objective functional are obtained with respect to the feedback parameters and the coordinates of the placement of the measurement points. The formulas can be used in the numerical solution to the test problem using first-order numerical optimization methods.
{"title":"On a problem of synthesis of control of power of the moving sources on heating of a rod","authors":"K. Aida-zade, V. A. Hashimov, A. H. Bagirov","doi":"10.30546/2409-4994.47.1/183","DOIUrl":"https://doi.org/10.30546/2409-4994.47.1/183","url":null,"abstract":"The problem of synthesis of control of power of the moving sources according to the given rules and trajectories under heating the rod is considered. The current values of the controls are determined depending on the values of the temperature of the rod at the points of measurement. Formulas for the components of the gradient of the objective functional are obtained with respect to the feedback parameters and the coordinates of the placement of the measurement points. The formulas can be used in the numerical solution to the test problem using first-order numerical optimization methods.","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89681831","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}
In this paper, we consider Caputo type fractional stochastic time-delay system with permutable matrices. We derive stochastic analogue of variation of constants formula via a newly defined delayed Mittag-Leffer type matrix function. Thus, we investigate new results on existence and uniqueness of mild solutions with the help of weighted maximum norm to fractional stochastic time-delay differential equations whose coefficients satisfy standard Lipschitz conditions. The main points in the proof are to apply Ito's isometry and martingale representation theorem, and to show the notion of a coincidence between the integral equation and the mild solution. Finally, we study complete controllability results for linear and nonlinear fractional stochastic delay dynamical systems with Wiener noise.
{"title":"Controllability of fractional stochastic delay dynamical systems","authors":"Arzu Ahmadova, Ismail T. Huseynov, N. Mahmudov","doi":"10.29228/proc.34","DOIUrl":"https://doi.org/10.29228/proc.34","url":null,"abstract":"In this paper, we consider Caputo type fractional stochastic time-delay system with permutable matrices. We derive stochastic analogue of variation of constants formula via a newly defined delayed Mittag-Leffer type matrix function. Thus, we investigate new results on existence and uniqueness of mild solutions with the help of weighted maximum norm to fractional stochastic time-delay differential equations whose coefficients satisfy standard Lipschitz conditions. The main points in the proof are to apply Ito's isometry and martingale representation theorem, and to show the notion of a coincidence between the integral equation and the mild solution. Finally, we study complete controllability results for linear and nonlinear fractional stochastic delay dynamical systems with Wiener noise.","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2020-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47297313","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}
{"title":"On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated","authors":"K. A. Kerimov","doi":"10.29228/proc.38","DOIUrl":"https://doi.org/10.29228/proc.38","url":null,"abstract":"","PeriodicalId":54068,"journal":{"name":"Proceedings of the Institute of Mathematics and Mechanics","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69844104","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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