Existence results for a coupled system of nonlinear fourth-order differential equations
type: Item
instance of: scholarly article
title: Existence results for a coupled system of nonlinear fourth-order differential equations
zbMATH Open document ID: 1293.34028
DOI: 10.1155/2013/324848
author: Bessem Samet
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The purpose of this paper is to study the existence of solutions to the following coupled system of nonlinear fourth-order differential equations: \[ \begin{gathered} x''''(t)=f(t,x(t), \quad t\in (0,1),\\ x''''(t)=g(t,x(t), \quad t\in (0,1),\\ x(0)=x''(0)=0, \quad x'(1)=0,\\ x'''(1)=\xi(x(1)),\\ y(0)=y''(0)=0,\quad y'(1)=0,\\ y'''(1)=\zeta(y(1)), \end{gathered} \] where \(f,g:[0,1] \times\mathbb{R} \times \mathbb{R}\to\mathbb{R}\) and \(\xi,\zeta: \mathbb{R}\to\mathbb{R}\) are given continuous functions.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6306657
Wikidata QID: Q58915945
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/324848
OpenAlex ID: W2025879191
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description: scientific article; zbMATH DE number 6306657