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Periodic and asymptotically periodic solutions in coupled nonlinear systems of Volterra integro-differential equations. (English) Zbl 1312.34107

Summary: The existence of periodic and asymptotically period solutions of a system of coupled nonlinear Volterra integro-differential equations with infinite delay has been studied in this paper. The fixed point theorem of Schauder has been employed as the primary mathematical tool of analysis.

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
45J99 Integro-ordinary differential equations
47N20 Applications of operator theory to differential and integral equations