NON-SMOOTH GUIDING FUNCTIONS AND PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH INFINITE DELAY IN HILBERT SPACES

Nguyễn Văn Lợi, Valeri Vladimirovich Obukhovskii, Pietro Zecca · Florence Research (University of Florence) · 2012

In this paper we develop the method of non-smooth integral guiding functions to deal with the problem of existence of periodic solutions for functional differential inclusions with infinite delay in Hilbert spaces. As an example we study the periodic problem for a gradient functional differential inclusion with infinite delay. Key Words and Phrases: Non-smooth

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