Fourth-order problems with fully nonlinear boundary conditions (Q854033)
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scientific article; zbMATH DE number 5078914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourth-order problems with fully nonlinear boundary conditions |
scientific article; zbMATH DE number 5078914 |
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Fourth-order problems with fully nonlinear boundary conditions (English)
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7 December 2006
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The authors give a slight generalisation of the results presented in a previous paper published in [Nonlinear Anal., Theory Methods Appl. 64, No. 4, 696--705 (2006; Zbl 1101.34011)]. The method of upper and lower solutions is used in the standard way in order to obtain existence results for the nonlinear boundary value problem \[ y^{(4)} =f(t,y,y',y'',y'''),\qquad t\in (0,1) \] under nonlinear boundary conditions. The techniques, results and examples follow the general outline of those in the paper mentioned above.
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fourth order ODE
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upper and lower solutions
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