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

Ravi P. Agarwal; Said R. Grace; Donal O'Regan; Aǧacik Zafer

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

Ravi P. Agarwal, Said R. Grace, Donal O'Regan, Aǧacik Zafer

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2014
Publication status	Published - 15 Apr 2014

Keywords

Integro-dynamic equation
Oscillation
Time scales

Cite this

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

abstract = "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.",

keywords = "Integro-dynamic equation, Oscillation, Time scales",

author = "Agarwal, \{Ravi P.\} and Grace, \{Said R.\} and Donal O'Regan and Aǧacik Zafer",

year = "2014",

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volume = "2014",

journal = "Electronic Journal of Differential Equations",

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T1 - Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales

AU - Agarwal, Ravi P.

AU - Grace, Said R.

AU - O'Regan, Donal

AU - Zafer, Aǧacik

PY - 2014/4/15

Y1 - 2014/4/15

N2 - 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.

AB - 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.

KW - Integro-dynamic equation

KW - Oscillation

KW - Time scales

UR - https://www.scopus.com/pages/publications/84899141789

M3 - Article

SN - 1072-6691

VL - 2014

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

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

Abstract

Keywords

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