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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation |
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 (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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