Triple positive solutions of nonlinear third order boundary value problems (Q842019)
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scientific article; zbMATH DE number 5605703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triple positive solutions of nonlinear third order boundary value problems |
scientific article; zbMATH DE number 5605703 |
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Triple positive solutions of nonlinear third order boundary value problems (English)
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22 September 2009
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The authors study the following nonlinear third order two--point boundary value problem \[ \begin{cases} x'''(t)=f(t,x(t))=0, \;a<t<b,\\ x(a)=x''(a)=x(b)=0. \end{cases}\tag{*} \] By using Leggett-Williams and Krasnosel'skii's fixed-point theorems, the authors obtain some criteria for the existence of three positive solutions to (*). Three examples are given to illustrate the main results.
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boundary value problem
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positive solution
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fixed point theorem
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