On the reduction principle for functional-differential equations of the neutral type (Q2704019)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the reduction principle for functional-differential equations of the neutral type |
scientific article |
Statements
28 April 2002
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neutral equations
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functional-differential equations
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integral manifolds
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reduction principle
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stability
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On the reduction principle for functional-differential equations of the neutral type (English)
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For a class of functional-differential equations of neutral type, the existence of integral manifolds is proved and an estimate on the solution on a manifold is obtained. The reduction principle that establishes the equivalence of the stability of the functional-differential equation to that of a certain finite-dimensional system of ordinary differential equations is proved. Finally, integral manifolds are constructed and stability properties of solutions in the critical case are investigated.
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