Positive solutions of even higher-order singular superlinear boundary value problems.
type: Item
instance of: scholarly article
title: Positive solutions of even higher-order singular superlinear boundary value problems.
zbMATH Open document ID: 1054.34039
DOI: 10.1016/S0898-1221(03)00019-1
author: Guoliang Shi
author: Shaozhu Chen
publication date: 2003-12-14T00:00:00Z
review text: The authors consider the following even higher-order nonlinear boundary value problem \[ \begin{aligned} (-1)^mu^{(2m)}(t)&= f(t,u(t),u''(t),\dots,u^{(2(m-1))}(t)), \quad 0<t<1,\\ u^{(2i)}(0)&= u^{(2i)}(1)=0, \quad i=0,\dots,m-1,\end{aligned}\tag{1} \] where \(m>1\) is an integer, \(f\in C((0,1)\times \mathbb{R}^+\times \mathbb{R}^-\times\cdots\times \mathbb{R}^{s_{m-1}},\mathbb{R}^+)\), where \(s_{m-1}\) is the sign of \((-1)^{m-1}\).
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 2017210
zbMATH Keywords: Positive solution
zbMATH Keywords: 2\(m\)th-order
zbMATH Keywords: Boundary value problem
zbMATH Keywords: Necessary and sufficient condition
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2017210