Global in time solutions to quasilinear telegraph equations involving operators with time delay (Q1184943)
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scientific article; zbMATH DE number 35325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global in time solutions to quasilinear telegraph equations involving operators with time delay |
scientific article; zbMATH DE number 35325 |
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Global in time solutions to quasilinear telegraph equations involving operators with time delay (English)
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28 June 1992
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The author proves the existence of a unique small global (with respect to time) solution to an abstract evolution equation that includes a damping term. The telegraph equation with both nonlinear coefficients and nonlinear right-hand side that may contain time-delay is discussed as an application.
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small global solution
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quasilinear telegraph equations
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bounded solutions
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time-periodic solutions
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abstract evolution equation
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nonlinear coefficients
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nonlinear right-hand side
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time-delay
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