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The study of multidimensional mixed problem for one class of third order semilinear psevdohyperbolic equations

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
This work is dedicated to the study of existence in small of classical solution of multidimensional mixed problem for one class of third order semilinear psevdohyperbolic equations. Conception of classical solution for mixed problem under consideration is introduced. After applying Fourier method, the solution of original problem is reduced to the solution of some countable system of nonlinear inteqro-di erential equations in unknown Fourier coecients of the sought solution. Besides, existence theorem in small of classical solution of the mixed problem is proved by contracted mappings principle.
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REFERENCES

References: 

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