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

Rajendra Prasad Kapula; Kosuri Bhushanam; Sreedhar Namburi

doi:10.32323/ujma.1502563

EN

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

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

Supporting Institution

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

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.

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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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Rajendra Prasad Kapula ^*
0000-0001-8162-1391
India

Kosuri Bhushanam
0009-0003-5617-0092
India

Sreedhar Namburi
0000-0002-3916-3689
India

Early Pub Date

September 2, 2024

Publication Date

September 21, 2024

Submission Date

June 19, 2024

Acceptance Date

August 18, 2024

Published in Issue

Year 2024 Volume: 7 Number: 3

DOI

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

IZ

https://izlik.org/JA32BB79SZ

APA

Kapula, R. P., Bhushanam, K., & Namburi, S. (2024). Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions. Universal Journal of Mathematics and Applications, 7(3), 129-143. https://doi.org/10.32323/ujma.1502563

AMA

1.Kapula RP, Bhushanam K, Namburi S. Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions. Univ. J. Math. Appl. 2024;7(3):129-143. doi:10.32323/ujma.1502563

Chicago

Kapula, Rajendra Prasad, Kosuri Bhushanam, and Sreedhar Namburi. 2024. “Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving P-Laplacian With Integral Boundary Conditions”. Universal Journal of Mathematics and Applications 7 (3): 129-43. https://doi.org/10.32323/ujma.1502563.

EndNote

Kapula RP, Bhushanam K, Namburi S (September 1, 2024) Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions. Universal Journal of Mathematics and Applications 7 3 129–143.

IEEE

[1]R. P. Kapula, K. Bhushanam, and S. Namburi, “Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions”, Univ. J. Math. Appl., vol. 7, no. 3, pp. 129–143, Sept. 2024, doi: 10.32323/ujma.1502563.

ISNAD

Kapula, Rajendra Prasad - Bhushanam, Kosuri - Namburi, Sreedhar. “Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving P-Laplacian With Integral Boundary Conditions”. Universal Journal of Mathematics and Applications 7/3 (September 1, 2024): 129-143. https://doi.org/10.32323/ujma.1502563.

JAMA

1.Kapula RP, Bhushanam K, Namburi S. Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions. Univ. J. Math. Appl. 2024;7:129–143.

MLA

Kapula, Rajendra Prasad, et al. “Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving P-Laplacian With Integral Boundary Conditions”. Universal Journal of Mathematics and Applications, vol. 7, no. 3, Sept. 2024, pp. 129-43, doi:10.32323/ujma.1502563.

Vancouver

1.Rajendra Prasad Kapula, Kosuri Bhushanam, Sreedhar Namburi. Multiple Positive Symmetric Solutions for the Fourth-Order Iterative Differential Equations Involving p-Laplacian with Integral Boundary Conditions. Univ. J. Math. Appl. 2024 Sep. 1;7(3):129-43. doi:10.32323/ujma.1502563