Authors: | Stević, Stevo | Title: | Stability of the zero solution of a family of functional-differential equations | Journal: | Applied Mathematics and Computation | Volume: | 238 | First page: | 50 | Last page: | 56 | Issue Date: | 1-Jul-2014 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2014.04.010 | Abstract: | We give some sufficient conditions under which the zero solution of the next functional-differential equationx′(t)=ax(t)+bx( τ0(t))+j=1kcjx′(τj(t)) +f(x(t),x(τk+1(t)),...,x(τk+l(t))),where a,b, cj,j=1,k are real numbers, f:Rl+1→R is a continuous function such that f(0,...,0)=0, and τj(t)∈C2[0, ∞),j=0,k+l̄, is asymptotically stable. |
Keywords: | Bounded solution | Functional-differential equation | Stability | Publisher: | Elsevier |
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