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 |