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Periodic solutions for evolution equations. (English) Zbl 1010.34060
Electronic Journal of Differential Equations. Monograph 3. San Marcos, TX: Southwest Texas State University. 41 p., electronic only, open access (2002).
Summary: The author studies the existence and uniqueness of periodic solutions to evolution equations. First, he analyzes the one-dimensional case. Then, for arbitrary dimensions (finite or not), he considers linear symmetric operators. He also proves the same results for nonlinear sub-differential operators \(A=\partial\varphi\) where \(\varphi\) is convex.

MSC:
34G25 Evolution inclusions
34C25 Periodic solutions to ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34G10 Linear differential equations in abstract spaces
34G20 Nonlinear differential equations in abstract spaces
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