\(h\)-asymptotic stability by fixed point in neutral nonlinear differential equations with delay (Q544159)
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scientific article; zbMATH DE number 5907670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(h\)-asymptotic stability by fixed point in neutral nonlinear differential equations with delay |
scientific article; zbMATH DE number 5907670 |
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\(h\)-asymptotic stability by fixed point in neutral nonlinear differential equations with delay (English)
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14 June 2011
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\(h\)-asymptotic stability results about the zero solution of nonlinear differential equations with functional delay are derived by using fixed-point theory. Neither boundedness of the deviations nor a fixed sign on the coefficients functions are asked. An explicit estimation of the solutions is obtained and a necessary and sufficient condition is determined. Classical results are improved and generalized.
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stability
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neutral nonlinear differential equation
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integro-differential equations
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fixed point theorems
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