Positive periodic solutions to a nonlinear fourth-order differential equation
TLDR
In this article, the existence of positive periodic solutions to a nonlinear fourth-order differential equation was established by using the fixed point index theory in a cone, by virtue of the first positive eigenvalue of the linear equation corresponding to the nonlinear======fourth-order equation.Abstract:
This paper is concerned with the existence of positive periodic solutions to
a nonlinear fourth-order differential equation. By virtue of the first
positive eigenvalue of the linear equation corresponding to the nonlinear
fourth order equation, we establish the existence result by using the fixed
point index theory in a cone.read more
Citations
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Journal ArticleDOI
Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity
Zhibo Cheng,Jingli Ren +1 more
TL;DR: In this article, the existence results of positive periodic solutions for nonlinear fourth-order singular differential equation were established by applying the Leray-Schauder alternative principle and Schauder's fixed-point theorem.
Journal ArticleDOI
Existence of multiple positive periodic solutions for delay differential equation whose order is a multiple of 4
Julio G. Dix,Seshadev Padhi +1 more
TL;DR: First, a positive Green’s function is found explicitly and then three solutions are found by applying the Krasnoselskii and Legget–William fixed point theorems.