On the spectral radius of linearly bounded operators and existence results for functional-differential equations (Q1422496)
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scientific article; zbMATH DE number 2046178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectral radius of linearly bounded operators and existence results for functional-differential equations |
scientific article; zbMATH DE number 2046178 |
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On the spectral radius of linearly bounded operators and existence results for functional-differential equations (English)
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23 February 2004
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The authors find some sufficient conditions, different from the global commutativity, under which the spectral radius of the composition of linearly bounded operators can be estimated. Applications of this estimation are given to prove the existence and uniqueness to the Darboux problem for a hyperbolic differential equation with maximum and to the initial value problem for a system of differential equations of neutral type with maximum.
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differential equations with maxima
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existence of global solutions
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spectral radius
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Darboux problem
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