The finite difference method for first order impulsive partial differential-functional equations (Q1900695)
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scientific article; zbMATH DE number 808214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The finite difference method for first order impulsive partial differential-functional equations |
scientific article; zbMATH DE number 808214 |
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The finite difference method for first order impulsive partial differential-functional equations (English)
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11 March 1996
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This paper concerns initial-boundary value problems for first-order impulsive partial differential-functional equations. Sufficient conditions for the convergence of a general class of one step difference methods are given. It is assumed that the given functions satisfy nonlinear estimates of Perron type with respect to the functional argument. The proof of stability is based on a theorem on difference functional inequalities generated by an impulsive differential-functional problem. It is assumed that the given functions satisfy a Volterra condition. A numerical example is given.
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first-order impulsive partial differential-functional equations
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convergence
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difference methods
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stability
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functional inequalities
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Volterra condition
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numerical example
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0.93487674
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0.92861235
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0.92832637
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