Exact solution method for Fredholm integro-differential equations with multipoint and integral boundary conditions. Part 1. Extention method
Abstract
Introduction: Boundary value problems for differential and integro-differential equations with multipoint and non-local boundary conditions often arise in mechanics, physics, biology, biotechnology, chemical engineering, medical science, finances and other fields. Finding an exact solution of a boundary value problem with Fredholm integro-differential equations is a challenging problem. In most cases, solutions are obtained by numerical methods. Purpose: Search for necessary and sufficient solvability conditions for abstract operator equations and their exact solutions. Results: A direct method is proposed for the exact solution of a certain class of ordinary differential or Fredholm integro-differential equations with separable kernels and multipoint/integral boundary conditions. We study abstract equations of the form Bu = Au - gF(Au) = f and BPublished
2018-12-20
How to Cite
Vassiliev, N., Parasidis, I., & Providas, E. (2018). Exact solution method for Fredholm integro-differential equations with multipoint and integral boundary conditions. Part 1. Extention method. Information and Control Systems, (6), 14-23. https://doi.org/10.31799/1684-8853-2018-6-14-23
Issue
Section
Theoretical and applied mathematics