Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem

In a series of papers (Burton-Furumochi [1-4]) we have studied stability properties of functional differential equations by means of fixed point theory. Here we obtain new stability and boundedness results for half-linear equations and integro-differential equations by using Schauder's first theorem and a weighted norm, and show some examples

Boundedness and Almost Periodicity of Solutions of Partial Functional Differential Equations

AbstractWe study necessary and sufficient conditions for the abstract functional differential equation x=Ax+Fxt+f(t) to have almost periodic, quasi periodic solutions with the same structure of spectrum as f. The main conditions are stated in terms of the imaginary solutions of the associated characteristic equations and the spectrum of the forcing term f. The obtained results extend recent results to abstract functional differential equations