Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation (Q541784)
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scientific article; zbMATH DE number 5905117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation |
scientific article; zbMATH DE number 5905117 |
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Positive solutions for boundary value problem of nonlinear fractional \(q\)-difference equation (English)
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8 June 2011
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Summary: We investigate the existence of multiple positive solutions to the nonlinear \(q\)-fractional boundary value problem \(_cD^a_q u(t) + a (t) f(u(t)) = 0, 0 \leq t \leq 1,2 < a \leq 3, u(0) = D^2_q u (0) = 0, \gamma D_q u(1) + \beta D^2_q u(1) = 0\), by using a fixed point theorem in a cone.
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