Abstract
In this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the Cauchy problem and a system of linear equations. Necessary and sufficient conditions for the unique solvability of the studied problem are determined.
Funder
Ministry of Education and Science of the Republic of Kazakhstan
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference33 articles.
1. Theory of Functionals and of Integrals and Integro-Differential Equations;Volterra,1959
2. Linear Integro-Differential Fredholm Equations. Ulan-Udehttps://www.bsu.ru/content/page/1416/06.pdf
3. Collocation Methods for Volterra Integral and Related Functional Equations;Brunner,2004
4. Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity
5. An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani’s method
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献