Asymptotic Behavior of Certain Integrodifferential Equations

Asymptotic Behavior of Certain Integrodifferential Equations

This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: a t x ′ t ′ = e ( t ) + ∫ c t ‍ ( t - s ) α - 1 k ( t , s ) f ( s , x ( s ) ) d s , c > 1 , 0 < α < 1 . From the obtained results, we derive a technique which c...

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Veröffentlicht in:Discrete dynamics in nature and society 2016-01, Vol.2016 (2016), p.1-6
Hauptverfasser: Grace, Said R., Akin, Elvan
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Dynamics
Equations
Functional equations
Functions
Integral equations
Mathematical analysis
Mathematical research
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Zusammenfassung:This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: a t x ′ t ′ = e ( t ) + ∫ c t ‍ ( t - s ) α - 1 k ( t , s ) f ( s , x ( s ) ) d s , c > 1 , 0 < α < 1 . From the obtained results, we derive a technique which can be applied to some related integrodifferential as well as integral equations.
ISSN:1026-0226
1607-887X
DOI:10.1155/2016/4231050