A new continuation method for the study of nonlinear equations at resonance (Q1323123)
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scientific article; zbMATH DE number 566491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new continuation method for the study of nonlinear equations at resonance |
scientific article; zbMATH DE number 566491 |
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A new continuation method for the study of nonlinear equations at resonance (English)
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9 May 1994
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The author presents a new continuation method for the existence of solutions to equations of the form: \(L(u)= N(u)\), where \(L\) is a linear Fredholm operator and \(N\) is a superposition operator. Instead of deforming \(N\), \(L\) is perturbed to obtain a problem not at resonance. Application is given to the existence of periodic solutions of generalized Liénard equations.
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continuation method
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linear Fredholm operator
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superposition operator
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periodic solutions
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generalized Liénard equations
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