Semilinear integrodifferential equations with nonlocal initial conditions (Q1767803)
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scientific article; zbMATH DE number 2142352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilinear integrodifferential equations with nonlocal initial conditions |
scientific article; zbMATH DE number 2142352 |
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Semilinear integrodifferential equations with nonlocal initial conditions (English)
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8 March 2005
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The paper is concerned with developing existence and uniqueness theorems for the Cauchy problem for semilinear integro-differential equations of convolution type. The sequence of theorems presented extends the existing results and can be applied, as is shown in the final section of the paper, to problems that arise in heat conduction in materials with memory.
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non-local initial conditions
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Cauchy problem
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Mild solution
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Classical solution
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heat conduction in materials with memory
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semilinear integro-differential equations of convolution type
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