ON STABILITY OF ZERO SOLUTION OF SOME TYPES OF FIFTH ORDER.
- Department of Mathematics,College of Science, University of Baghdad.
- Department of Mathematics, College of Ibn-AL Haitham, University of Baghdad.
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This paper is illustrates the sufficient conditions of theuniformly asymptotically stableand the bounded of the zero solution of fifth order nonlinear differential equation with a variable delay ?(t)as given by the following: x^((5) )+?(x ? ) x^((4) )+f(x(t-?(t) ),x ?(t-?(t) ),?,x^((4) ) (t-?(t) ) ) x ?(t)+ax ?(t)+g(x(t-?(t) ),x ?(t-?(t) ),?,x^((4) ) (t-?(t) ) ) x ?(t)+h(x(t-?(t) ) )+k(x ?(t-?(t) ) ) =P( t ,x(t),x(t-?(t) ),x ?(t),x ?(t-?(t) ),?,x^((4) ) (t) ?,x?^((4) ) (t-?(t) ) )?(1) Where x?R, ?(t)is variables delay, a is positive constant, ?,f,g,h,k and p are continuous functions in R,R^5,R^5,R,R, and R^+×R^10, respectively, and the dots in(1) denote differentiation respect with to t,t?R^+.
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[Buthainah A. A and May M. Hilal. (2016); ON STABILITY OF ZERO SOLUTION OF SOME TYPES OF FIFTH ORDER. Int. J. of Adv. Res. 4 (Dec). 1793-1796] (ISSN 2320-5407). www.journalijar.com