International Journal of Nonlinear Analysis and Applications

A state-dependent Chandrasekhar integral equation

Document Type : Research Paper

Authors

Faculty of Science, Alexandria University, Alexandria, Egypt

Abstract

Phenomena depending on their past history or their past state have received more importance. The mathematical models of these phenomena can be described by differential equations of a hereditary or a self-referred type. This paper is devoted to study the solvability of a state-dependent or self-referred integral equation via Chandrasekhar kernel. The investigation of this problem is motivated by the results from, Eder [10], Feˇckan [11] and Buica [3] who initiated the study of state dependent differential equations. Here, the existence and the uniqueness of the solution of this state-dependent integral equation via Chandrasekhar kernel have been discussed. The data dependency of the solution on some functions has been studied.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 3049-3056
  • Receive Date: 01 April 2021
  • Revise Date: 09 May 2022
  • Accept Date: 13 May 2022