Nontrivial solutions for a second order periodic boundary value problem with the nonlinearity dependent on the derivative
type: Item
instance of: scholarly article
title: Nontrivial solutions for a second order periodic boundary value problem with the nonlinearity dependent on the derivative
zbMATH Open document ID: 1493.34070
author: Yanyan Li
published in: Applied Mathematics Letters
publication date: 2021-12-13T00:00:00Z
review text: The author uses some results in [\textit{P. J. Torres}, J. Differ. Equations 190, No. 2, 643--662 (2003; Zbl 1032.34040)] combined with some degree computations to prove the existence of a non-trivial solution for the problem \[u''(t)+a(t)u(t)=f(t,u(t),u'(t)), \quad t\in [0,\omega],\] \[u(0)=u(\omega), \quad u'(0)=u'(\omega).\] His results complements the ones given in [\textit{Z. Ming} et al., J. Fixed Point Theory Appl. 22, No. 3, Paper No. 59, 13 p. (2020; Zbl 1448.34053)].
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7443309
zbMATH Keywords: nontrivial solution
zbMATH Keywords: spectral radius
zbMATH Keywords: topological degree
reviewed by: J. Ángel Cid
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107678
OpenAlex ID: W3204249802
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DOI: 10.1016/J.AML.2021.107678
description: scientific article; zbMATH DE number 7443309