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

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

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

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

Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Résumé

Summary: 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.

Classification : 34N05, 45D05, 34C10
Keywords: integro-dynamic equation, oscillation, time scales

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     author = {Agarwal, Ravi P. and Grace, Said R. and O'Regan, Donal and Zafer, Aǧacik},
     title = {Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a64/}
}

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Agarwal, Ravi P.; Grace, Said R.; O'Regan, Donal; Zafer, Aǧacik. Oscillatory and asymptotic behavior of solutions for second-order nonlinear integro-dynamic equations on time scales. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a64/