On the existence of solutions for P-Laplacian systems with integral Boundary conditions

Authors: Robabeh Sahandi Torogh

Affiliations: Department of Mathematics, Varamin-Pishva branch, Islamic Azad University, Varamin, Iran

Emails: sahandi@iauvaramin.ac.ir

Journal: International Journal of Fundamental Physical Sciences (IJFPS)

Volume: 7, Issue: 4, Pages: 38-41, Date: December, 2017

ISSN: 2231-8186

DOI: https://doi.org/10.14331/ijfps.2017.330107

Abstract

This paper addresses the existence of positive solutions for a class of (p,q)-Laplacian systems with integral boundary conditions. Using fixed point theorems in cones, the paper proves the existence of multiple positive solutions. It provides sufficient conditions under which the nonlinear boundary value system admits three fixed point solutions, highlighting the importance of functional analysis and nonlinear differential equations in applied mathematical contexts.

Keywords

Positive solution, Integral boundary condition, (p,q)-Laplacian system

License: https://creativecommons.org/licenses/by/4.0/