Existence of positive solutions for nonlinear differential equations (Q2747284)
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scientific article; zbMATH DE number 1657472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive solutions for nonlinear differential equations |
scientific article; zbMATH DE number 1657472 |
Statements
14 October 2001
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two-point problem
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second-order equation
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positive solutions
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existence
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Existence of positive solutions for nonlinear differential equations (English)
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The existence of at least one positive solution to a two-point boundary value problem for a second-order ordinary differential equation is proved. The boundary conditions are characterized by means of nonlinear, increasing, odd functions. A Krasnosel'skij-type fixed-point theorem in a cone is applied for this aim jointly with some convexity arguments. So, additional information concerning the location of solutions can be obtained.
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