Asymptotic Periodicity of Solutions to a Class of Neutral Functional Differential Equations
نویسندگان
چکیده
In this paper, we extend a convergence result due to Takác to continuous maps satisfying certain monotonicity properties. Applying this extension to the Poincaré map associated with the neutral equation (d/dt)[x(t) b(t)x(t r)] = F[t, x(t), x(t r>] we prove that each solution of the above neutral equation tends to an r-periodic function as ; —» oo in an oscillatory manner, where 0 < b(t) < 1 is an rperiodic continuous function and F satisfies a certain order relation.
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تاریخ انتشار 2010