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Krivoseja, S. A.

Approximate solutions of a mixed problem for the quasiwave equation. (English) Zbl 0352.35065

Ukr. Math. J. 28(1976), 519-524 (1977).
Page: −5 −4 −3 −2 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

35L60 First-order nonlinear hyperbolic equations
35A35 Theoretical approximation in context of PDEs
35L05 Wave equation
35E10 Convexity properties of solutions to PDEs with constant coefficients
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References:

[1] Yu. A. Mitropol’skii and B. I. Moseenkov, Application of Asymptotic Methods to the Solution of Partial Differential Equations [in Russian], Izd. Instituta Matematiki Akad. Nauk UkrSSR, Kiev (1968). · Zbl 0233.35002
[2] B. I. Moseenkov, Construction of Formal Solutions for the Quasiwave Equation with Nonlinear Boundary Conditions and Possibility of Using Krylov-Bogolyubov Asymptotic Methods to Investigate Single-Frequency Oscillations [in Russian], Izd. Instituta Matematiki Akad. Nauk UkrSSR, Kiev (1964).
[3] A. A. Vitt, ?Distributed self-oscillatory systems,? Zh. Tekh. Fiz.,4, No. 1, 144-157 (1934).
[4] L. A. Dikii, ?Eigenvalue-dependent boundary conditions,? Ukr. Mat. Zh.,15, No. 1(91), 195-198 (1960).
[5] V. N. Gol’dberg, ?Existence, uniqueness, and correctness of the solution of a nonlinear problem,? Dokl. Akad. Nauk SSSR,124, No. 3, 513-516 (1959). · Zbl 0088.07302
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