Periodic solutions for nonlinear evolution inclusions. (English) Zbl 0908.34043

The authors consider the abstract problem \[ x'(t) + A(t,x(t)) + F(t,x(t)) \ni h(t) \] where \(A\) is a pseudomonotone operator and \(F\) is a possibly multivalued function. The standard technique of an evolution triple is adopted.
The existence of a time-periodic solution is shown using known methods of monotone operator theory.
Reviewer: E.Feireisl (Praha)


34G20 Nonlinear differential equations in abstract spaces
34C25 Periodic solutions to ordinary differential equations
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