Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function - Open Journal of Applied Sciences

OJAppS > Vol.14 No.1, January 2024

Open Journal of Applied Sciences

Volume 14, Issue 1 (January 2024)

ISSN Print: 2165-3917 ISSN Online: 2165-3925

Google-based Impact Factor: 0.92 Citations h5-index & Ranking

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function ()

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DOI: 10.4236/ojapps.2024.141005 47 Downloads 166 Views

Author(s)

Junrui Yue^1,2, Yun Zhang¹, Qingyue Bai¹

Affiliation(s)

¹Computer Information Engineering Institute, Shanxi Technology and Business College, Taiyuan, China.
²Shanxi Technology and Business College, Taiyuan, China.

ABSTRACT

This paper is concerned with the following fourth-order three-point boundary value problem

, where

, we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones and iterative technique.

KEYWORDS

Fourth-Order Three-Point Boundary Value Problem, Sign-Changing Green’s Function, Fixed Point Index, Iterative Technique, Monotone Positive Solution, Existence

Share and Cite:

Yue, J. , Zhang, Y. and Bai, Q. (2024) Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function. Open Journal of Applied Sciences, 14, 63-69. doi: 10.4236/ojapps.2024.141005.

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