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On one approach to solve the linear boundary value problems for Fredholm integro­differential equations

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Article outline Abstract MSC Keywords 1. Introduction

2. The well-posedness of linear bou…

3. Algorithm for solving the linear bo…

4. Fredholm integro-differential equa…

5. Examples 6. Conclusion Acknowledgments References Figures and tables

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doi:10.1016/j.cam.2015.08.023

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Journal of Computational and Applied Mathematics

Volume 294, 1 March 2016, Pages 342–357

On one approach to solve the linear boundary value problems for Fredholm integro­differential equations

D.S. Dzhumabaev

Department of Differential Equations, Institute of Mathematics and Mathematical Modeling of MES RK, 125, Pushkin str., 050010 Almaty, Kazakhstan

Received 3 February 2015, Revised 23 July 2015, Available online 14 September 2015 Show less

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Abstract

Necessary and sufficient conditions for the well­posedness of linear boundary value problems for Fredholm integro­differential equations are established. Algorithms for finding their solutions are offered.

MSC

45J05; 45L05; 47G20; 65Q99

Keywords

Fredholm integro­differential equation; Parameterization method; Algorithm; Well­

posedness

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