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 ord...

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Bibliographic Details
Main Authors: Sreedhar Namburi, Kosuri Bhushanam, Rajendra Prasad Kapula
Format: Article
Language:English
Published: Emrah Evren KARA 2024-09-01
Series:Universal Journal of Mathematics and Applications
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Online Access:https://dergipark.org.tr/en/download/article-file/4011405
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Summary: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.
ISSN:2619-9653