Next Article in Journal / Special Issue
Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications
Previous Article in Journal
A Short Survey and Open Questions on Compact Q-Groups
Previous Article in Special Issue
Informal Complete Metric Space and Fixed Point Theorems
Open AccessArticle

Existence of Positive Solution for the Eighth-Order Boundary Value Problem Using Classical Version of Leray–Schauder Alternative Fixed Point Theorem

1
Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India
2
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758 307, Vietnam
3
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758 307, Vietnam
*
Authors to whom correspondence should be addressed.
Axioms 2019, 8(4), 129; https://doi.org/10.3390/axioms8040129
Received: 13 September 2019 / Revised: 18 October 2019 / Accepted: 20 October 2019 / Published: 14 November 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray–Schauder nonlinear alternative fixed point theorem. Also we produce a few examples to illustrate our results. View Full-Text
Keywords: eighth-order boundary value problem; Green’s function; Leray–Schauder nonlinear alternative; nontrivial solution; fixed points eighth-order boundary value problem; Green’s function; Leray–Schauder nonlinear alternative; nontrivial solution; fixed points
MDPI and ACS Style

Shanmugam, T.; Muthiah, M.; Radenović, S. Existence of Positive Solution for the Eighth-Order Boundary Value Problem Using Classical Version of Leray–Schauder Alternative Fixed Point Theorem. Axioms 2019, 8, 129.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop