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Existence of solutions for a two-point boundary value problem on time scales. - MaRDI portal

Existence of solutions for a two-point boundary value problem on time scales. (Q1428184)

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scientific article; zbMATH DE number 2056334
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Existence of solutions for a two-point boundary value problem on time scales.
scientific article; zbMATH DE number 2056334

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    Existence of solutions for a two-point boundary value problem on time scales. (English)
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    14 March 2004
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    For the boundary value problem on a time scale \(x^{\Delta\Delta}(t)= f(t, x(t), x^\Delta(t))\), \(0\leq t\leq 1\), \(x(0)= x^\Delta(\sigma(1))= 0\), with continuous \(f\) satisfying further conditions, the existence of a solution is proved by means of the Leray-Schauder principle.
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    Existence
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    Boundary value problem
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    Time scales
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    Barrier strips
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    Leray-Schauder principle
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