Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
type: Item
instance of: scholarly article
title: Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
zbMATH Open document ID: 1005.34010
DOI: 10.1155/S108533750000018X
author: Johnny Henderson
author: John M. Davis
author: K. Rajendra Prasad
author: William K. C. Yin
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49744
review text: Summary: The authors consider the nonlinear second-order conjugate eigenvalue problem on a time scale: \(y^{\Delta\Delta}(t) + \lambda a(t) f(y(\sigma(t))) = 0, t \in [0,1], y(0) = 0 = y(\sigma(1))\). Values of the parameter \(\lambda\) (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a broader class of functions for \(a(t)\).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34L30
zbMATH DE Number: 1780498
zbMATH Keywords: nonlinear second-order conjugate eigenvalue problem
zbMATH Keywords: positive solution
MaRDI profile type: Publication
OpenAlex ID: W1984438660
Recommended article: Eigenvalue problems for second-order nonlinear dynamic equations on time scales
Recommended article: Solvability of a class of second-order nonlinear eigenvalue problems
Recommended article: Solvability of a nonlinear general third order two-point eigenvalue problem on time scales
Recommended article: Q5167239
Recommended article: Solvability of a nonlinear conjugate eigenvalue problem
Recommended article: Second-order \(n\)-point eigenvalue problems on time scales
Recommended article: Eigenvalues of second-order linear equations with coupled boundary conditions on time scales
Recommended article: Q3526220
Recommended article: Q3453510
Recommended article: Nodal solutions to nonlinear eigenvalue problems on time scales
description: scientific article; zbMATH DE number 1780498