Oscillations in Higher-Order Neutral Differential-Equations
dc.contributor.author | Philos, C. G. | en |
dc.contributor.author | Purnaras, I. K. | en |
dc.contributor.author | Sficas, Y. G. | en |
dc.date.accessioned | 2015-11-24T17:27:20Z | |
dc.date.available | 2015-11-24T17:27:20Z | |
dc.identifier.issn | 0008-414X | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13356 | |
dc.rights | Default Licence | - |
dc.subject | oscillation | en |
dc.subject | neutral differential equation | en |
dc.subject | sufficient conditions | en |
dc.subject | coefficients | en |
dc.subject | system | en |
dc.title | Oscillations in Higher-Order Neutral Differential-Equations | en |
heal.abstract | Consider the n-th order (n greater-than-or-equal-to 1) neutral differential equation (E) d(n)/dt(n)[x(t) + delta integral-tau2/tau1 x(t + s)dmu(s)]+ zeta integral-sigma2/sigma1 x(t + s)deta(s) = 0, where delta is-an-element-of {0, +1, -1}, zeta is-an-element-of {+1, -1}, -infinity < tau1 < tau2 < infinity with tau1tau2 not-equal 0, -infinity < sigma1 < sigma2 < infinity and mu and eta are increasing real-valued functions on [tau1, tau2] and [sigma1, sigma2] respectively. The function mu is assumed to be not constant on [tau1, tau] and [tau, tau2] for every tau is-an-element-of (tau1, tau2); similarly, for each sigma is-an-element-of (sigma1, sigma2), it is supposed that eta is not constant on [sigma1, sigma] and [sigma, sigma2]. Under some mild restrictions on tau(i) and sigma(i) (i = 1,2), it is proved that all solutions of (E) are oscillatory if and only if the characteristic equation lambda(n)[1 + delta integral-tau2/tau1 e(lambdas)dmu(s)] + zeta integral-sigma2/sigma1 e(lambdas)deta(s) = 0 of (E) has no real roots. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.primary | Doi 10.4153/Cjm-1993-008-6 | - |
heal.identifier.secondary | <Go to ISI>://A1993KJ85600008 | - |
heal.journalName | Canadian Journal of Mathematics-Journal Canadien De Mathematiques | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 1993 | - |
heal.publisher | University of Toronto Press | en |
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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