Existence of positive solutions for a fourth-order differential system
type: Item
instance of: scholarly article
title: Existence of positive solutions for a fourth-order differential system
zbMATH Open document ID: 1319.34037
published in: Annales Polonici Mathematici
publication date: 2014-10-16T00:00:00Z
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6356998
zbMATH Keywords: positive solution
zbMATH Keywords: boundary value problem
zbMATH Keywords: existence
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: ap112-3-7
OpenAlex ID: W2318706352
cites work: Existence and uniqueness theorems for fourth-order boundary value problems
cites work: Q3994493
cites work: Existence and uniqueness theorems for the bending of an elastic beam equation
cites work: Positive solutions of fourth-order two point boundary value problems.
cites work: Q4514401
cites work: On the existence of positive solutions of fourth-order ordinary differential equations
cites work: The method of lower and upper solutions for fourth-order two-point boundary value problems
cites work: Positive solutions for a second-order differential system
cites work: Fourth-Order Two-Point Boundary Value Problems
DOI: 10.4064/AP112-3-7
author: Ravi P. Agarwal
author: B. Kovacs
author: Donal O'Regan
review text: The authors investigate the existence of positive solutions for a fourth-order differential system NEWLINE\[NEWLINE\begin{gathered} u^{(4)}=\varphi u+f(t,u,u''),\quad -\varphi''=\mu u,\;\;0<t<1, \\ u(0)=u(1)=u''(0)=u''(1)=0, \quad \varphi(0)=\varphi(1)=0\end{gathered}NEWLINE\]NEWLINE by using a fixed point theorem of cone expansion and compression type. They obtain existence and multiplicity results under some suitable conditions.
reviewed by: Ruyun Ma
description: scientific article; zbMATH DE number 6356998