Solvability of a third-order two-point boundary value problem (Q812654)
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scientific article; zbMATH DE number 5001408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of a third-order two-point boundary value problem |
scientific article; zbMATH DE number 5001408 |
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Solvability of a third-order two-point boundary value problem (English)
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24 January 2006
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Consider the third-order two-point boundary value problem \[ u'''(t)+f(t,u(t))=0,\quad 0\leq t\leq 1,\quad u(0)=u'(0)=u'(1)=0.\tag{*} \] By means of a new maximum principle and the lower and upper solution technique, the authors prove the existence of at least one solution to problem (*).
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third-order ordinary differential equation
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upper and lower solutions method
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maximum principle
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existence
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