Generalized solutions of semistate equations and stability (Q1092298)
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scientific article; zbMATH DE number 4019470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized solutions of semistate equations and stability |
scientific article; zbMATH DE number 4019470 |
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Generalized solutions of semistate equations and stability (English)
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1986
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Solvability and stability of nonlinear, time-varying semistate equations of the form \(Ax'+B(x,t)=f\) are discussed. Generalized solutions are defined as satisfying an integrated form of the differential equation. It is shown that for index one systems, that generalized solutions exist in a vicinity of an equilibrium. Results on a type of Lyapunov stability are also given.
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Solvability
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time-varying semistate equations
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Generalized solutions
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Lyapunov stability
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