Stability in variation for nonlinear Volterra difference systems (Q2712541)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability in variation for nonlinear Volterra difference systems |
scientific article |
Statements
21 October 2001
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nonlinear Volterra difference system
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Volterra variational system
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\(h\)-stability
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Stability in variation for nonlinear Volterra difference systems (English)
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Consider the nonlinear Volterra difference system NEWLINE\[NEWLINEx(n+1)=f(n,x(n))+\sum^n_{s=n_{0}}g(n,s,x(s))NEWLINE\]NEWLINE and the associated Volterra variational systems NEWLINE\[NEWLINE\upsilon (n+1)=f_{x}(n,0)\upsilon (n)+\sum^n_{s=n_{0}}g_{x}(n,s,0)\upsilon (s)NEWLINE\]NEWLINE and NEWLINE\[NEWLINEz(n+1)=f_{x}(n,x(n,n_{0},x_{0}))z(n)+\sum^n_{s=n_{0}}g(x)(n,s,x(s))z(s).NEWLINE\]NEWLINE The property of \(h\)-stability is investigated for the above systems. An illustrative example is given.
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