Published January 1, 2016 | Version v1
Publication Open

Asymptotic Behavior of Certain Integrodifferential Equations

Creators

  • 1. Cairo University
  • 2. Missouri University of Science and Technology

Description

This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form:atx′t′=e(t)+∫ct‍(t-s)α-1k(t,s)f(s,x(s))ds, 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.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

تتناول هذه الورقة السلوك المقارب للحلول غير المتذبذبة لبعض المعادلات التكاملية التفاضلية القسرية للشكل:atx′t′=e(t)+ Ω ct‍(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1.من النتائج التي تم الحصول عليها، نستمد تقنية يمكن تطبيقها على بعض المعادلات التكاملية والتكاملية ذات الصلة.

Translated Description (French)

Cet article traite du comportement asymptotique des solutions non oscillatoires de certaines équations intégrodifférentielles forcées de la forme :atx′t′=e(t)+∫ct‍(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1.À partir des résultats obtenus, nous dérivons une technique qui peut être appliquée à certaines équations intégrodifférentielles ainsi qu'intégrales connexes.

Translated Description (Spanish)

Este artículo trata sobre el comportamiento asintótico de soluciones no oscilatorias de ciertas ecuaciones integrodiferenciales forzadas de la forma: a tx′t ′=e(t)+ ct‍(t-s)α-1k(t,s)f(s,x(s))ds, c>1, 0<α<1.A partir de los resultados obtenidos, derivamos una técnica que se puede aplicar a algunas ecuaciones integrales e integrodiferenciales relacionadas.

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Additional details

Additional titles

Translated title (Arabic)
السلوك المقارب لبعض المعادلات التكاملية التفاضلية
Translated title (French)
Comportement asymptotique de certaines équations intégrodifférentielles
Translated title (Spanish)
Comportamiento asintótico de ciertas ecuaciones integrodiferenciales

Identifiers

Other
https://openalex.org/W2514466237
DOI
10.1155/2016/4231050

Is supplement to
https://openalex.org/W4313731559 (Other)
https://openalex.org/W2544423928 (Other)
https://openalex.org/W2391240633 (Other)
https://openalex.org/W2187401768 (Other)
https://openalex.org/W2181743346 (Other)
https://openalex.org/W2181413294 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2053286651 (Other)
https://openalex.org/W2052122378 (Other)
https://openalex.org/W2051487156 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Egypt

References

  • https://openalex.org/W1850511188
  • https://openalex.org/W1965321336
  • https://openalex.org/W1999806740
  • https://openalex.org/W2067463815
  • https://openalex.org/W2126313583
  • https://openalex.org/W2166391170