Tenth order boundary value problem solution existence by fixed point theorem

Journal of Inequalities and Applications

Thenmozhi Shanmugam¹  Nebojša Nikolić²  Nada Čitaković³  Nicola Fabiano⁴  Stojan Radenović⁴ 

[1] Department of Mathematics, Bharathidasan University;Faculty of Organizational Sciences, University of Belgrade;Military Academy;Nonlinear Analysis Research Group, Ton Duc Thang University;

关键词: Boundary value problem;    Green function;    Fixed point;    Leray–Schauder;   

DOI  :  10.1186/s13660-020-02429-2

来源: DOAJ

【 摘 要 】

Abstract In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, complements, and enriches several results in the existing literature.

【 授权许可】

Unknown