Time-map techniques for some boundary value problems (Q1293504)
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scientific article; zbMATH DE number 1309857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Time-map techniques for some boundary value problems |
scientific article; zbMATH DE number 1309857 |
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Time-map techniques for some boundary value problems (English)
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19 December 1999
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The author illustrates the concept of time-map and its applications to various (Dirichlet and periodic) BVPs associated to ODEs. The technique based on the three time-maps introduced here has various applications. The author studies the problem \[ u''(t)+ f\bigl(u(t)\bigr) =p \bigl(t,u(t), u'(t)\bigr), \quad u(0)=A,\;u(\pi)=B, \] and discusses the existence of positive solutions to an autonomous superlinear BVP.
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time-map techniques
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boundary value problems
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three time-maps
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positive solutions
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