Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions
Abstract
In this paper, an existence criterion of nontrivial solution to the four-point boundary value problem for fourth order ordinary differential equation has been established. The analysis of this paper is based on the well-known Krasnosclskii-Zabreiko fixed point theorem. An illustrative example is included to support the analytic proof of established existence criteria.
Copyright © 2019 Mohammad Asaduzzaman, Md. Zulfikar Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Asaduzzaman, M. Z. Ali, Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions, Adv. Fixed Point Theory 9 (2019), 260–272. https://doi.org/10.28919/afpt/4091
BibTeX
@article{Asaduzzaman2019,
author = {Asaduzzaman, Mohammad and Ali, Md. Zulfikar},
title = {Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions},
journal = {Adv. Fixed Point Theory},
volume = {9},
year = {2019},
pages = {260--272},
doi = {10.28919/afpt/4091}
}