Existence results for anti-periodic boundary value problems of nonlinear second-order impulsive \(q_k\)-difference equations (Q2812583)
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scientific article; zbMATH DE number 6594569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for anti-periodic boundary value problems of nonlinear second-order impulsive \(q_k\)-difference equations |
scientific article; zbMATH DE number 6594569 |
Statements
17 June 2016
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\(q_k\)-derivative
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\(q_k\)-integral
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impulsive \(q_k\)-difference equation
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existence
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uniqueness
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anti-periodic boundary conditions
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fixed point theorems
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Existence results for anti-periodic boundary value problems of nonlinear second-order impulsive \(q_k\)-difference equations (English)
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The authors study the existence results for nonlinear second-order impulsive \(q_k\)-difference equations with anti-periodic boundary conditions. The existence and uniqueness of the solution is proved by Banach's contraction mapping principle, and the existence of at least one solution is proved by Krasnoselskii's fixed point theorem. Finally, they give some examples to illustrate their main results.
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