Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces (Q1771380)
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scientific article; zbMATH DE number 2159773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces |
scientific article; zbMATH DE number 2159773 |
Statements
Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces (English)
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21 April 2005
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Sufficient conditions for the existence of bounded solutions for Volterra difference equations \[ x_n- f_n= -\sum^n_{k=0} a_{n-k} G_k(x_k) \] are obtained where \(\langle x- c_n, G_n(x)\rangle\geq 0\;\forall x\in X\).
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nonlinear Volterra difference equation
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Hilbert spaces
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bounded solutions
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0.94061124
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0.9283776
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0.9212006
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0.9173563
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0.9149729
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