Asymptotic Behavior of Certain Integrodifferential Equations

Author

Said R. Grace
Elvan Akin, Missouri University of Science and TechnologyFollow

Abstract

This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: (a(t)x'(t))' = e (t) + ∫ ^t_c (t - s)^{α - 1}k(t,s)ƒ(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.

Recommended Citation

S. R. Grace and E. Akin, "Asymptotic Behavior of Certain Integrodifferential Equations," Discrete Dynamics in Nature and Society, vol. 2016, Hindawi Publishing Corporation, Jan 2016.

The definitive version is available at https://doi.org/10.1155/2016/4231050

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1026-0226; 1607-887X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2016 Said Grace and Elvan Akin, All rights reserved.

Creative Commons Licensing

This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

01 Jan 2016