Existence and uniqueness of solutions for third-order nonlinear boundary value problems (Q860546)
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scientific article; zbMATH DE number 5083255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of solutions for third-order nonlinear boundary value problems |
scientific article; zbMATH DE number 5083255 |
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Existence and uniqueness of solutions for third-order nonlinear boundary value problems (English)
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9 January 2007
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Consider the boundary value problem \[ y'''f(x,y,y',y''),\;0<x<1, \] \[ k(y(0),y'(0))=0,\;g(y'(0),y''(0))=0,\tag{*} \] \[ h(y(0),y'(0),y''(0);\;y(1),y'(1),y''(1))=0, \] where \(k,g\) and \(h\) are continuous. The authors provide sufficient conditions for the existence and uniqueness of a solution to (*).
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boundary value problem
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existence
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uniqueness
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