Uniformly Stable Continuous Solutions Of A Functional Differential Inclusions

A.M.A. El-Sayed*, Fatma M.Gaffar**, Nesreen F.M.El-haddad***
* Faculty of Science, Alexandria University, Alexandria, Egypt.
**-*** Faculty of Science, Damanhour University, Behera, Egypt.
Periodicity:April - June'2013
DOI : https://doi.org/10.26634/jmat.2.2.2310

Abstract

The authors concerned here with the concept and the existence of a uniformly stable continuous solution of the functional differential inclusion dx/dt∈ F(t, x(f(t))) a.e on I = [0, T], t > 0 with the initial condition x(0) = x0. The continuous dependence on the set of selections of the set-valued function F is also studied.

Keywords

Set-Valued Function, Differential Inclusion, Continuous Dependence, Uniform Stability.

How to Cite this Article?

El-SayedZ, A.M.A., Gaffar, F.M., and El-haddad, N.F.M. (2013). Uniformly Stable Continuous Solutions of A Functional Differential Inclusions. i-manager’s Journal on Mathematics, 2(2), 1-6. https://doi.org/10.26634/jmat.2.2.2310

References

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