Electron. J. Diff. Eqns. Monograph 03, 2002.

Periodic solutions for evolution equations

Mihai Bostan

We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators. We also prove the same results for non-linear sub-differential operators $A = \partial \varphi$ where $\varphi$ is convex.

Submitted May 14, 2002. Published August 23, 2002.
Math Subject Classifications: 34B05, 34G10, 34G20.
Key Words: maximal monotone operators, evolution equations, Hille-Yosida's theory.

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Mihai Bostan
Universite de Franche-Comte
16 route de Gray F-25030
Besancon Cedex, France

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