On nonlinear two-point boundary value problems for impulsive differential-algebraic problems (Q1029373)
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scientific article; zbMATH DE number 5577406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonlinear two-point boundary value problems for impulsive differential-algebraic problems |
scientific article; zbMATH DE number 5577406 |
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On nonlinear two-point boundary value problems for impulsive differential-algebraic problems (English)
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10 July 2009
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The author considers a boundary value problem for first order impulsive differential-algebraic equations with causal operators. The existence of extremal solutions for the problem is proved by applying a well known monotone iterative technique. The main result (Theorem 2) is illustrated by means of an example. The existence of quasi-solutions for the problem is also discussed. The results are interesting as differential-algebraic equations appear in the mathematical modelling of various problems of applied nature.
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causal operators
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impulsive differential-algebraic problems
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differential inequalities
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extremal solutions
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quasi-solutions
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