Uniqueness and nonuniqueness results for the antiperiodic solutions of some second-order nonlinear evolution equations

DOI10.1016/0362-546X(95)00012-KzbMath0855.34075MaRDI QIDQ4879074

Philippe Souplet

Publication date: 16 February 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

counterexamplesecond order differential gradient systemssecond-order abstract evolution equationssemilinear wave equations in bounded domainsuniqueness of antiperiodic solutions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Wave equation (35L05)

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Cites Work

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• On the existence of periodic solutions to nonlinear abstract parabolic equations
• Anti-periodic solutions of some nonlinear evolution equations
• Dual variational methods in critical point theory and applications
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS