On a pseudo Fučik spectrum for strongly nonlinear second-order ODEs and an existence result
type: Item
instance of: scholarly article
title: On a pseudo Fučik spectrum for strongly nonlinear second-order ODEs and an existence result
zbMATH Open document ID: 0811.34014
DOI: 10.1016/0377-0427(94)90358-1
author: Fabio Zanolin
author: Marta Garcia-Huidobro
author: Raúl Manásevich
published in: Journal of Computational and Applied Mathematics
publication date: 1995-01-15T00:00:00Z
review text: The authors study the boundary value problem of the form \((\varphi (u'))' + f(t,u) = q(t)\), \(u(a) = u(b) = 0\), where \(\varphi\) is an increasing odd homeomorphism of \(R\), \(f\) and \(q\) satisfy the Carathéodory conditions. The main existence result is formulated in terms of the pseudo Fučik spectrum for the eigenvalue-like problem \((\varphi (u'))' + A \varphi (u^ +) - B \varphi (u^ -) = 0\), \(u(a) = u(b) = 0\), \(A,B > 0\).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 711768
zbMATH Keywords: continuation theorem
zbMATH Keywords: boundary value problem
zbMATH Keywords: Carathéodory conditions
zbMATH Keywords: pseudo Fučik spectrum
zbMATH Keywords: eigenvalue-like problem
reviewed by: Elena Trofimchuk
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90358-1
OpenAlex ID: W2029502025
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description: scientific article; zbMATH DE number 711768