Nonlinear Noetherian second-order boundary-value problems in the critical case (Q460548)
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scientific article; zbMATH DE number 6354769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear Noetherian second-order boundary-value problems in the critical case |
scientific article; zbMATH DE number 6354769 |
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Nonlinear Noetherian second-order boundary-value problems in the critical case (English)
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13 October 2014
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The authors consider a boundary value problem with a small parameter. The problem is generated by a linear system, to which a nonlinearity is added. The nonlinearity is small in an appropriate sense. So, a weakly nonlinear Noetherian boundary value problem for a system of ordinary differential equations with the second-order highest derivative in the critical case is studied. Conditions are given for the existence of a solution. The results are illustrated by an example of a Duffing-type equation.
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existence of solutions
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small parameter
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Noetherian boundary value problem
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critical case
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0.9630492
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0.9171666
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0.9159831
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0.91593933
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