Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions (Q651160)
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scientific article; zbMATH DE number 5987816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions |
scientific article; zbMATH DE number 5987816 |
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Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions (English)
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8 December 2011
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The author uses a fixed point theorem due to \textit{R. I. Avery} and \textit{A. C. Peterson} [Comput. Math. Appl. 42, 313--322 (2001; Zbl 1005.47051)] to establish the existence of at least three non-negative solutions of some nonlocal boundary value problems to third order differential equations with arbitrary continuous advanced arguments. An example is given to illustrate the main results.
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third order differential equations
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nonlocal boundary value problems
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advanced arguments
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fixed point theorem
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the existence of multiple positive solutions
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functional differential equations
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0.9491416
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0.94903064
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