Qualitative behavior of the solutions of periodic first order scalar differential equations with weakly concave nonlinearity (Q1198675)
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scientific article; zbMATH DE number 90480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Qualitative behavior of the solutions of periodic first order scalar differential equations with weakly concave nonlinearity |
scientific article; zbMATH DE number 90480 |
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Qualitative behavior of the solutions of periodic first order scalar differential equations with weakly concave nonlinearity (English)
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16 January 1993
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This paper extends earlier results of Lazer, Sanchez and of Mawhin about the number and the stability of periodic solutions of periodic first order scalar nonlinear differential equations of the form \(x'=f(t,x)\), when \(f\) satisfies a suitable convexity or concavity condition with respect to \(x\). The usual strictness of the convexity or concavity assumption is weakened.
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number and the stability of periodic solutions
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periodic first order scalar nonlinear differential equations of the form
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