Note to periodic solvability of the boundary value problem for nonlinear heat equation
Věnceslava Šťastnová, Svatopluk Fučík (1977)
Commentationes Mathematicae Universitatis Carolinae
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Věnceslava Šťastnová, Svatopluk Fučík (1977)
Commentationes Mathematicae Universitatis Carolinae
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Amster, Pablo (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Věnceslava Šťastnová, Svatopluk Fučík (1979)
Aplikace matematiky
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The paper deals with the existence of periodic solutions of the boundary value problem for nonlinear heat equation, where various types of nonlinearities are considered. The proofs are based on the investigation of Liapunov-Schmidt bifurcation system via Leray-Schauder degree theory.
Sun, Jiebao, Wu, Boying, Zhang, Dazhi (2010)
Journal of Inequalities and Applications [electronic only]
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Zbyněk Kubáček, Boris Rudolf (2005)
Archivum Mathematicum
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For a generalized pendulum equation we estimate the number of periodic solutions from below using lower and upper solutions and from above using a complex equation and Jensen’s inequality.