Skip to content

Archives › Volume 4, Number 2 (2014)

J. Math. Comput. Sci. 4 (2014), 206–225

Attractivity and existence results for hybrid differential equations with anticipation and retardation

Bapurao C. Dhage, Shyam B. Dhage, Siddharth D. Sarkate

Abstract

In this paper, we establish an existence and global attractivity results for a hybrid differential equation of quadratic type on unbounded intervals of real line with the mixed arguments of anticipations and retardation. A positivity result is also obtained under some usual natural conditions. Our hypotheses and claims have also been explained with the help of a natural realization.

Published
1 May 2014
Volume
4 (2014)
License
CC BY 3.0

Copyright © 2014 Bapurao C. Dhage, Shyam B. Dhage, Siddharth D. Sarkate. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

B. C. Dhage, S. B. Dhage, S. D. Sarkate, Attractivity and existence results for hybrid differential equations with anticipation and retardation, J. Math. Comput. Sci. 4 (2014), 206–225.

BibTeX
@article{Dhage2014,
  author  = {Dhage, Bapurao C. and Dhage, Shyam B. and Sarkate, Siddharth D.},
  title   = {Attractivity and existence results for hybrid differential equations with anticipation and retardation},
  journal = {J. Math. Comput. Sci.},
  volume  = {4},
  year    = {2014},
  pages   = {206--225},
  doi     = {}
}