Nonlinear fourth-order two-point boundary value problems
type: Item
instance of: scholarly article
title: Nonlinear fourth-order two-point boundary value problems
zbMATH Open document ID: 0831.34030
published in: Rocky Mountain Journal of Mathematics
publication date: 1996-02-12T00:00:00Z
review text: The paper deals with boundary value problems (1) \(x^{(4)} = f(t,x, x',x'', x''')\), (2) \(g_i (x(0), x'(0)\), \(x''(0), x'''(0)) = 0\), \(h_i (x(1), x'(1), x''(1), x'''(1)) = 0\), \(i = 0,1\) and (1) and (3) \(g_i (x(0), x(0), x''(0), x'''(0)) = 0\), \(i = 0,1,2\), \(h(x(1), x'(1), x''(1), x'''(1)) = 0\), respectively, and with the problem (4) \(x'' = f_1(t,x, y,x', y')\), \(y'' = f_2 (t,x, y,x', y')\), (5) \(g_i (x(0), y(0), x'(0), y'(0)) = 0\), \(h_i (x(1), y(1), x'(1), y'(1)) = 0\), \(i = 0,1\). Besides the continuity of \(f,f_i : I = [0,1] \times R^4 \to R\) and \(g_i, h_i : R^4 \to R\), there are used the generalized lower and upper functions and Nagumo type conditions.
reviewed by: Marko Švec
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 796900
zbMATH Keywords: boundary value problems
zbMATH Keywords: lower and upper functions
zbMATH Keywords: Nagumo type conditions
author: Felix Sadyrbaev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072248
OpenAlex ID: W2035224996
Wikidata QID: Q57554717
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DOI: 10.1216/RMJM/1181072248
description: scientific article; zbMATH DE number 796900