On a class of nonclassical hyperbolic equations with nonlocal conditions (Q1850703)
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scientific article; zbMATH DE number 1844036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of nonclassical hyperbolic equations with nonlocal conditions |
scientific article; zbMATH DE number 1844036 |
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On a class of nonclassical hyperbolic equations with nonlocal conditions (English)
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12 May 2003
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Summary: This paper proves the existence, uniqueness and continuous dependence of a solution of a class of nonclassical hyperbolic equations with nonlocal boundary and initial conditions. Results are obtained by using a functional analysis method based on an a priori estimate and on the density of the range of the linear operator corresponding to the abstract formulation of the considered problem.
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strong solutions
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continuous dependence
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nonlocal boundary and initial conditions
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uniqueness
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existence
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