Optimal oscillation criteria for first order difference equations with delay argument

dc.contributor.author	Chatzarakis, G. E.	en
dc.contributor.author	Koplatadze, R.	en
dc.contributor.author	Stavroulakis, I. P.	en
dc.date.accessioned	2015-11-24T17:27:01Z
dc.date.available	2015-11-24T17:27:01Z
dc.identifier.issn	0030-8730	-
dc.identifier.uri	https://olympias.lib.uoi.gr/jspui/handle/123456789/13298
dc.rights	Default Licence	-
dc.subject	difference equation	en
dc.subject	proper solution	en
dc.subject	positive solution	en
dc.subject	oscillatory	en
dc.title	Optimal oscillation criteria for first order difference equations with delay argument	en
heal.abstract	Consider the first order linear difference equation Delta u(k)+ p(k) u(tau(k) = 0, k is an element of N, where Delta u(k) = u(k+1) - u(k), p : N --> R+, tau : N --> N, tau(k) <= k - 2 and lim(k-->+infinity) tau(k) = +infinity. Optimal conditions for the oscillation of all proper solutions of this equation are established. The results lead to a sharp oscillation condition, when k - tau(k) -->+ infinity as k -->+infinity. Examples illustrating the results are given.	en
heal.access	campus	-
heal.fullTextAvailability	TRUE	-
heal.identifier.secondary	<Go to ISI>://000254381400002	-
heal.journalName	Pacific Journal of Mathematics	en
heal.journalType	peer reviewed	-
heal.language	en	-
heal.publicationDate	2008	-
heal.recordProvider	Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών	el
heal.type	journalArticle	-
heal.type.el	Άρθρο Περιοδικού	el
heal.type.en	Journal article	en

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