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The focus of our present work is to establish the existence of almost periodic solutions of neutral functional differential equations by using the Razumikhin-type argument.. The
Functional boundary value problem, existence, Leray- Schauder degree, Borsuk theorem, α -condensing operator.. 1991 Mathematics
Krasnosel’ski˘ı fixed point theorem has been extensively used in differential and functional differential equations, by Burton in proving the existence of periodic solutions..
[21] Hern´andez, E.; McKibben, M.; Some comments on: “ Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations.. Regularity
Keywords: Existence and uniqueness; positive solution; fixed point theorem of generalized concave operators; Neumann boundary value problem; second order impulsive
Nieto, Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory, Topological Methods in
Ezzinbi, Existence of positive pseudo-almost-periodic solution for some nonlinear infinite delay integral equations arising in epidemic problems, Non- linear Anal.. Lhachimi,
By using the Hopf’s bifurcation theorem and the above mentioned result, we will discuss the existence of small amplitude periodic solutions of equation (1.1), taking as