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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2014-04-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2014/105/abstr.html |
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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 |