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Periodic solutions of a weakly nonlinear hyperbolic equation in \(E_2\) and \(E_3\). (English) Zbl 0311.35004
MSC:
35B10 Periodic solutions to PDEs
35L60 First-order nonlinear hyperbolic equations
35B20 Perturbations in context of PDEs
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References:
[1] R. Courant D. Hilbert: Methoden der mathematischen Physik. Vol. 2, Berlin 1937. · Zbl 0017.39702
[2] F. A. Ficken B. A. Fleishman: Initial value problems and time-periodic solutions for a nonlinear wave equation. Comm. pure appl. math. 10 (1957), 331 - 356. · Zbl 0078.27602 · doi:10.1002/cpa.3160100303
[3] J. Havlová: Periodic solutions of a nonlinear telegraph equation. Čas. pěst. mat. 90 (1965), 273-289. · Zbl 0143.13601
[4] L. V. Kantorovič G. P. Akilov: Funkcionaľnyj analiz v normirovanych prostranstvach. Moskva 1959.
[5] G. N. Watson: A treatise on the theory of Bessel functions. 2nd Cambridge U.P. 1944. · Zbl 0063.08184
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