Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions

The purpose of this paper is to investigate the existence of multiple positive symmetric solutions for fourth order $\mathrm{p}$-Laplacian iterative system with integral boundary conditions. Initially, we establish the existence of at least one and two positive symmetric solutions for the fourth order problem using Krasnosel’skii fixed point theorem. Subsequently, we establish the existence of at least three positive symmetric solutions by applying five-functionals fixed point theorem.

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Publication Details

Journal
Universal Journal of Mathematics and Applications
Published
2024-08-30
DOI
https://doi.org/10.32323/ujma.1502563
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions

N. Sreedhar, Kosuri Bhushanam, Rajendra Prasad Kapula
Universal Journal of Mathematics and Applications
Differential Equations and Numerical Methods
article

Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions

N. Sreedhar, Kosuri Bhushanam, Rajendra Prasad Kapula
article en

Abstract

The purpose of this paper is to investigate the existence of multiple positive symmetric solutions for fourth order $\mathrm{p}$-Laplacian iterative system with integral boundary conditions. Initially, we establish the existence of at least one and two positive symmetric solutions for the fourth order problem using Krasnosel’skii fixed point theorem. Subsequently, we establish the existence of at least three positive symmetric solutions by applying five-functionals fixed point theorem.

Universal Journal of Mathematics and ApplicationsVol. 7(3)
Andhra University (IN), GITAM University (IN)
Openalex Percentile: Top 78%
Differential Equations and Numerical Methods
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