Exponential analysis of solutions of functional differential equations with unbounded terms (Q967141)
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scientific article; zbMATH DE number 5702383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential analysis of solutions of functional differential equations with unbounded terms |
scientific article; zbMATH DE number 5702383 |
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Exponential analysis of solutions of functional differential equations with unbounded terms (English)
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27 April 2010
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Consider the functional differential equation \(x'(t) = G(t, x(s); 0\leq s\leq t)\), where \(x\in {\mathbb R}^n\) and \(G\) is a continuous functional. In this paper, the boundedness of solutions of the above equation is studied and sufficient conditions are obtained by using the methods of Lyapunov functionals. Volterra integro-differential equations are given to illustrate the theorems.
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nonlinear differential systems
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boundedness
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uniform boundedness
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Lyapunov functionals
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Volterra integro-differential equations
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