Sequential derivatives of nonlinear \(q\)-difference equations with three-point \(q\)-integral boundary conditions (Q2375600)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequential derivatives of nonlinear \(q\)-difference equations with three-point \(q\)-integral boundary conditions |
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Sequential derivatives of nonlinear \(q\)-difference equations with three-point \(q\)-integral boundary conditions (English)
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14 June 2013
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Summary: This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear \(q\)-difference equations with three-point \(q\)-integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. Using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.
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