Global existence for second order functional semilinear equations |
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Authors: | S K Ntouyas P Ch Tsamatos |
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Institution: | (1) Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece |
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Abstract: | In this paper we study the global existence of solutions for initial value problems for functional semilinear equations, where the linear operator in the differential equation is the infinitesimal generator of a strongly cosine family in a Banach spaceX. Using the Leray-Schauder Alternative, we derive conditions under which a solution exists globally. |
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Keywords: | Primary 34K05 |
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