An example employing convexity in functional fixed point arguments (Q2850055)
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scientific article; zbMATH DE number 6212310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example employing convexity in functional fixed point arguments |
scientific article; zbMATH DE number 6212310 |
Statements
26 September 2013
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multiple fixed-point theorems
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convexity
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Leggett-Williams fixed-point theorem
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expansion
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compression
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An example employing convexity in functional fixed point arguments (English)
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This paper is concerned with the second-order nonlinear right focal boundary value problem NEWLINE\[NEWLINEx''(t)+f(x(t))=0,\;t\in (0,1),\quad x(0)=0=x'(1).NEWLINE\]NEWLINE By using a convexity technique and a functional fixed point theorem, the authors prove the existence of at least one positive solution to the above boundary value problem.
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