Positive solutions for second order functional differential equations (Q2763774)
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scientific article; zbMATH DE number 1693114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for second order functional differential equations |
scientific article; zbMATH DE number 1693114 |
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22 January 2002
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positive solutions
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functional boundary conditions
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second-order
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Positive solutions for second order functional differential equations (English)
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The existence of positive solutions to second-order equations of the form \(u''+ a(t) f(u)= 0\) is studied under integral boundary conditions. These functional conditions generalize multipoint boundary conditions. The nonlinearity \(f\) is considered separately to be sublinear or superlinear. The proof is based on a fixed-point theorem in cones and a verification of related analytical inequalities.
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