Analysis of the properties of solutions of some non-linear equations
โ Scribed by S.Kh. Dzhumagaziyeva
- Publisher
- Elsevier Science
- Year
- 1986
- Weight
- 678 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
where C.. C, are positive constants. We substitute ul')=v+I:N"x. (!..) ~+ e' N",,f 1 ax" ax" ax,. for u in (6.1) and group the terms of the same order in I: (by analogy with /9, 10/). Recalling relations (6.5), (6.6), and also estimates (6.10), (6.11) and the a priori estimate for the solution of a
Some properties of solutions of initial value problems and mixed initialboundary value problems of a class of wave equations are discussed. Wave modes are defined and it is shown that for the given class of wave equations there is a one to one correspondence with the roots coi(k) or kj(~o) of the di