Unstable Periodic Solutions of a Parabol
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Colette De Coster; Pierpaolo Omari
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Article
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2000
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Elsevier Science
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English
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We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution : and an upper solution ;, which do not satisfy the ordering condition : ;. Our results yield the existence of unstable solutions, localized by means of : and ;,