Existence of positive solutions of halflinear delay differential equation
type: Item
instance of: scholarly article
title: Existence of positive solutions of halflinear delay differential equation
zbMATH Open document ID: 1113.34049
author: Hajnalka Péics
author: János Karsai
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: Using the method of generalized Riccati equation and the Schauder-Tikhonov fixed point theorem, the authors present sufficient conditions for the existence of positive solutions of the delay differential equation \[ \left[| x'(t)|^{\alpha-1}x'(t)\right]'+\sum_{i=1}^{n}p_i(t) | x(t-\tau_i(t))|^{\alpha-1}x(t-\tau_i(t))=0 \] for \(t\geq t_0\) and \(\alpha>0\).
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 5077898
zbMATH Keywords: oscillation theory
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.11.033
OpenAlex ID: W2068055337
Wikidata QID: Q115346294
cites work: Q4650507
cites work: Q5533446
cites work: Qualitative theory of half-linear second order differential equations
cites work: Nonoscillation criteria for half-linear second-order difference equations
cites work: Q3310187
cites work: Q4750126
cites work: Q4000352
cites work: Oscillation criteria for second-order delay differential equations.
cites work: Strong oscillation and nonoscillation of quasilinear differential equations of second order
cites work: Nonoscillation theorems for a class of quasilinear differential equations of second order
cites work: On oscillation of half-linear functional differential equations with deviating arguments
cites work: Nonoscillation criteria for second-order half-linear differential equations
DOI: 10.1016/J.JMAA.2005.11.033
description: scientific article; zbMATH DE number 5077898