Solvability and dependence on a parameter of a fourth-order periodic boundary value problem
type: Item
instance of: scholarly article
title: Solvability and dependence on a parameter of a fourth-order periodic boundary value problem
zbMATH Open document ID: 1331.34030
author: Minghe Pei
author: Sung Kag Chang
published in: Journal of Applied Mathematics and Computing
publication date: 2015-10-07T00:00:00Z
review text: The authors investigate the solvability of the fourth-order boundary value problem \[ \begin{aligned} u^{(4)}(t)-&\rho u(t)+\lambda f(t, u(t))=0, \;\;0\leq t\leq 2\pi, \\ &u^{(i)}(0)=u^{(i)}(2\pi),\,\, i=0, 1, 2, 3,\end{aligned} \] where \(\rho\in (0, \frac 12)\) is a constant, \(f\in C([0,2\pi]\times \mathbb{R})\). The main tool is a fixed point theorem in cones. Uniqueness and dependence of solutions on the parameters are also investigated.
Mathematics Subject Classification ID: 34B08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6490706
zbMATH Keywords: fourth-order equations
zbMATH Keywords: periodic boundary value problem
zbMATH Keywords: solvability
zbMATH Keywords: uniqueness
zbMATH Keywords: dependence of solutions
reviewed by: Ruyun Ma
MaRDI profile type: Publication
full work available at URL: s12190-014-0832-z
OpenAlex ID: W2165939025
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DOI: 10.1007/S12190-014-0832-Z
description: scientific article; zbMATH DE number 6490706