Oscillatory behaviour of odd order neutral delay dynamic equations on time-scales
2012; Inderscience Publishers; Volume: 4; Issue: 3 Linguagem: Inglês
10.1504/ijdsde.2012.049885
ISSN1752-3591
AutoresSaid R. Grace, Sandra Pinelas, Ravi P. Agarwal,
Tópico(s)Nonlinear Differential Equations Analysis
ResumoNo AccessOscillatory behaviour of odd order neutral delay dynamic equations on time-scalesSaid R. Grace, Sandra Pinelas and Ravi P. AgarwalSaid R. Grace Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt , Sandra Pinelas Departamento de Ciências Exactas e Naturais, Academia Militar, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal and Ravi P. Agarwal Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA Published Online:October 19, 2012pp 187-197https://doi.org/10.1504/IJDSDE.2012.049885PDF ToolsAdd to FavouritesDownload CitationsTrack Citations Share this article on social mediaShareShare onFacebookTwitterLinkedInReddit AboutAbstractWe shall establish some new criteria for the oscillation of neutral delay dynamic equations on an arbitrary time-scale.Keywordsneutral delay dynamic equations, oscillation, time-scale, higher order References 1. R.P. Agarwal, M. Bohner, D. O’Regan, A. Peterson, '‘Dynamic equations on timescales: a survey’' Journal of Computational and Applied Mathematics (2002) Google Scholar2. R.P. Agarwal, D. O’Regan, S. Saker, '‘Oscillation criteria for the second order nonlinear delay dynamic equations’' Journal of Mathematical Analysis and Applications (2004) Google Scholar3. M. Bohner, A. Peterson, Dynamic Equations on Time-Scales: An Introduction with Applications (2001) Google Scholar4. M. Bohner, A. Peterson, Advances in Dynamic Equations on Time-Scales (2003) Google Scholar5. S.R. Grace, R.P. Agarwal, M. Bohner, D. O’Regan, '‘Oscillation of second order strongly superlinear and strongly sublinear dynamic equations’' Communications Nonlinear Sciences and Numerical Simulation (2009a) Google Scholar6. S.R. Grace, M. Bohner, R.P. Agarwal, '‘On the oscillation of second order half-linear dynamic equations’' Journal of Difference Equations and Applications (2009b) Google Scholar7. Z. Han, T. Li, S. Sun, C. Zhang, '‘Oscillation behavior of third order neutral Emden-Fowler delay dymanic equatios on time-scales’' Advances in Difference Equations (2010) Google Scholar8. S. Hilger, '‘Analysis on measure chains – a unified approach to continuous and discrete calculus’' Results in Mathematics (1990) Google Scholar9. R.M. Mathsen, Q.R. Wang, H-W. Wu, '‘Oscillation for neutral dynamic functional equations on time-scales’' Journal of Difference Equations and Applications (2004) Google Scholar Next article FiguresReferencesRelatedDetails Volume 4Issue 32012 ISSN: 1752-3583eISSN: 1752-3591 HistoryPublished onlineOctober 19, 2012 Keywordsneutral delay dynamic equationsoscillationtime-scalehigher orderAuthors and AffiliationsSaid R. Grace1 Sandra Pinelas2 Ravi P. Agarwal3 1. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt 2. Departamento de Ciências Exactas e Naturais, Academia Militar, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal 3. Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA PDF download
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