Integral and boundary value problems for nonlinear systems of composite type (Q687230)
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scientific article; zbMATH DE number 429276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral and boundary value problems for nonlinear systems of composite type |
scientific article; zbMATH DE number 429276 |
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Integral and boundary value problems for nonlinear systems of composite type (English)
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26 May 1994
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Summary: Using the Schauder fixed point theorem we establish the solvability of an initial-boundary value problem for a nonlinear first order system of composite type. The procedure depends on first establishing a priori estimates for the solutions. This investigation generalizes the results of H. Begehr, G. C. Wen, Z. Zhao and the results of \textit{R. P. Gilbert} and \textit{M. Schneider}, [J. Approximation Theory 25, 105-119 (1979; Zbl 0434.34011)].
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Schauder fixed point theorem
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initial-boundary value problem
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nonlinear first order system of composite type
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a priori estimates
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