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Periodic solutions of a class of nonlinear functional differential equations and global attractivity. (Chinese. English summary) Zbl 1124.34350

Summary: We consider existence, uniqueness and global attractivity of a periodic solution of the higher dimensional nonlinear functional differential equation \[ \dot x(t)=A(t,x(t+\cdot))x(t)+f(t,x(t+\cdot)). \]

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
34C25 Periodic solutions to ordinary differential equations
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