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Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation - MaRDI portal

Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation (Q1100338)

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scientific article; zbMATH DE number 4042383
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Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation
scientific article; zbMATH DE number 4042383

    Statements

    Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation (English)
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    1987
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    The objective of this work is to study a class of bounded solutions, which includes periodic, homoclinic, and heteroclinic solutions of equations defined in infinite dimensional Banach spaces. The Lyapunov- Schmidt procedure and semigroup theory are used. The obtained results are applied to the study of homoclinic solutions of a nonlinear forced beam equation.
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    bounded solutions
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    heteroclinic solutions
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    Lyapunov-Schmidt procedure
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    semigroup theory
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    homoclinic solutions
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    beam equation
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