On boundary value problems for third-order functional differential equations
type: Item
instance of: scholarly article
title: On boundary value problems for third-order functional differential equations
zbMATH Open document ID: 0964.34052
DOI: 10.1016/S0362-546X(99)00174-1
author: Alexander Haščák
author: Viktor Pirč
author: Svatoslav Staněk
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-11-06T00:00:00Z
review text: The existence of at least two solutions is proved for the functional-differential equation \[ (g(x''(t)))'= (Fx)(t), \] satisfying the functional boundary conditions \[ \alpha(x)= 0,\quad \|x'\|= H(x),\quad \beta(x'')= 0. \] The method relies, besides another, on a topological transversality method of A. Granas et al. An illustrating example is supplied.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1526178
zbMATH Keywords: third-order problems
zbMATH Keywords: functional equation
zbMATH Keywords: functional conditions
zbMATH Keywords: multiplicity results
MaRDI profile type: Publication
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full work available at URL: s0362-546x(99)00174-1
OpenAlex ID: W2013511460
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description: scientific article; zbMATH DE number 1526178