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

Year 2024, Volume: 7 Issue: 3, 129 - 143, 21.09.2024

Rajendra Prasad Kapula , Kosuri Bhushanam , Sreedhar Namburi

https://doi.org/10.32323/ujma.1502563

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.

Keywords

Cone, Fixed point, Green, Iterative system, Positive symmetric solutions

Ethical Statement

It is declared that during the preparation process of this study, scientific and ethical principles were followed and all the studies benefited from are stated in the bibliography.

Supporting Institution

No grants were received from any public, private or non-profit organizations for this research.

Thanks

The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions. Second author K. Bhushanam is thankful to UGC, Government of India, for awarding SRF; NTA Ref.No.:201610065189.

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