Almost periodic solutions of nonlinear second order differential equations (Q1193220)
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scientific article; zbMATH DE number 62161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost periodic solutions of nonlinear second order differential equations |
scientific article; zbMATH DE number 62161 |
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Almost periodic solutions of nonlinear second order differential equations (English)
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27 September 1992
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Existence results are proved for almost periodic solutions of nonlinear second order differential equations of the form \(x''=f(t,x)\). The results extend existence results for periodic solutions of periodic equations, where the existence of periodic sub- and supersolutions implied the existence of periodic solutions. The main condition on \(f\) is that it should be quasimonotone increasing.
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almost periodic solutions
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nonlinear second order differential equations
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periodic sub- and supersolutions
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0.9858701
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0.98255014
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0.9734838
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