Oscillation criteria for nonlinear differential systems with general deviating of mixed type
type: Item
instance of: scholarly article
title: Oscillation criteria for nonlinear differential systems with general deviating of mixed type
zbMATH Open document ID: 0733.34072
author: Pavol Marušiak
published in: Hiroshima Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: The following system with deviating arguments of mixed type \[ (1)\quad \dot y_ i=p_ i(t)y_{i+1}(h_{i+1}(t)),\quad i=1,...,n-1,\quad \dot y_ n=\pm \sum^{N}_{m=1}a_ m(t)f_ m(y_ 1(g_ m(t)) \] is considered. Functions at the right-hand side are supposed to be continuous on \([0,\infty)\). A solution of (1) is said to be the proper one if it is of class \(C^ 1([T_ y,\infty))\) and sup\(\{\sum^{n}_{i=1}| y_ i(t)|\), \(t\geq T\}>0\) for any \(T\geq T_ y\). The author studies the oscillatory properties of proper solutions of the system (1).
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4212537
zbMATH Keywords: system with deviating arguments of mixed type
zbMATH Keywords: oscillatory properties
reviewed by: Yu. N. Bibikov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206454450
OpenAlex ID: W1557336844
Wikidata QID: Q128866406
DOI: 10.32917/HMJ/1206454450
description: scientific article; zbMATH DE number 4212537