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Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type

✍ Scribed by A. S. Berdyshev; E. T. Karimov

Book ID
111488344
Publisher
SP Versita
Year
2006
Tongue
English
Weight
188 KB
Volume
4
Category
Article
ISSN
1895-1074

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✦ Synopsis

In this work two non-local problems for the parabolic-hyperbolic type equation with noncharacteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.

πŸ“œ SIMILAR VOLUMES

Some non-local problems for the paraboli
Some non-local problems for the parabolic-hyperbolic type equation with complex spectral parameter
✍ E. T. Karimov πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

## Abstract In the present paper the unique solvability of two non‐local problems for the mixed parabolic‐hyperbolic type equation with complex spectral parameter is proved. Sectors for values of the spectral parameter where these problems have unique solutions are shown. Uniqueness of the solution