Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales

In this article, we study the asymptotic behavior of non-oscillatory solutions of second-order integro-dynamic equations as well as the oscillatory behavior of forced second order integro-dynamic equations on time scales. The results are new for the continuous and discrete cases. Examples are pr...

Full description

Bibliographic Details
Main Authors: Ravi P. Agarwal, Said R. Grace, Donal O'Regan, Agacik Zafer
Format: Article
Language:English
Published: Texas State University 2014-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/105/abstr.html
_version_ 1819057444148477952
author Ravi P. Agarwal
Said R. Grace
Donal O'Regan
Agacik Zafer
author_facet Ravi P. Agarwal
Said R. Grace
Donal O'Regan
Agacik Zafer
author_sort Ravi P. Agarwal
collection DOAJ
description In this article, we study the asymptotic behavior of non-oscillatory solutions of second-order integro-dynamic equations as well as the oscillatory behavior of forced second order integro-dynamic equations on time scales. The results are new for the continuous and discrete cases. Examples are provided to illustrate the relevance of the results.
first_indexed 2024-12-21T13:39:24Z
format Article
id doaj.art-a4ffcc2a9bd54525b3b9b85733a53d62
institution Directory Open Access Journal
issn 1072-6691
language English
last_indexed 2024-12-21T13:39:24Z
publishDate 2014-04-01
publisher Texas State University
record_format Article
series Electronic Journal of Differential Equations
spelling doaj.art-a4ffcc2a9bd54525b3b9b85733a53d622022-12-21T19:02:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-04-012014105,112Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scalesRavi P. Agarwal0Said R. Grace1Donal O'Regan2Agacik Zafer3 Texas A&M Univ., Kingsville, TX, USA Cairo Univ., Orman, Giza, Egypt National Univ. of Ireland, Galway, Ireland American Univ. of the Middle East, Egaila, Kuwait In this article, we study the asymptotic behavior of non-oscillatory solutions of second-order integro-dynamic equations as well as the oscillatory behavior of forced second order integro-dynamic equations on time scales. The results are new for the continuous and discrete cases. Examples are provided to illustrate the relevance of the results.http://ejde.math.txstate.edu/Volumes/2014/105/abstr.htmlIntegro-dynamic equationoscillationtime scales
spellingShingle Ravi P. Agarwal
Said R. Grace
Donal O'Regan
Agacik Zafer
Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
Electronic Journal of Differential Equations
Integro-dynamic equation
oscillation
time scales
title Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
title_full Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
title_fullStr Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
title_full_unstemmed Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
title_short Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales
title_sort oscillatory and asymptotic behavior of solutions for second order nonlinear integro dynamic equations on time scales
topic Integro-dynamic equation
oscillation
time scales
url http://ejde.math.txstate.edu/Volumes/2014/105/abstr.html
work_keys_str_mv AT ravipagarwal oscillatoryandasymptoticbehaviorofsolutionsforsecondordernonlinearintegrodynamicequationsontimescales
AT saidrgrace oscillatoryandasymptoticbehaviorofsolutionsforsecondordernonlinearintegrodynamicequationsontimescales
AT donaloregan oscillatoryandasymptoticbehaviorofsolutionsforsecondordernonlinearintegrodynamicequationsontimescales
AT agacikzafer oscillatoryandasymptoticbehaviorofsolutionsforsecondordernonlinearintegrodynamicequationsontimescales