Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term
Czechoslovak Mathematical Journal, Tome 20 (1970) no. 3, pp. 375-405
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DOI : 10.21136/CMJ.1970.100974
Classification : 35.12
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Krylová, Naděžda. Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term. Czechoslovak Mathematical Journal, Tome 20 (1970) no. 3, pp. 375-405. doi: 10.21136/CMJ.1970.100974

[1] L. Amerio: Soluzioni quasi-periodiche, o limitate, di sistemi diflferenziali non lineari quasi-periodiche, o limitati. Ann. di Mat., vol 39 (1955), 97-120. | DOI | MR

[2] И. M. Бабаков: Теория колебаний. Москва, 1958. | Zbl

[3] Е. Hille R. S. Phillips: Functional Analysis and Semi-Groups. Amer. Math. Soc. (1957). | MR

[4] J. L. Lions: Equations différentielles opérationnelles et problèmes aux limites. Springer-Verlag, Berlin 1961. | MR | Zbl

[5] J. Nečas: Les méthodes direct en théorie des equations elliptiques. Academia, Praha 1967. | MR

[6] L. Nirenberg: Remarks on strongly elliptic partial differential equations. Comm. Pure Applied Math., 8 (1955), 649-675. | DOI | MR | Zbl

[7] G. Prodi: Soluzioni periodiche dell'equazioni delle onde con termine dissipativo non lineare. Rend. Sem. Mat. Padova XXXVI, 1, 1966, 37-49. | MR

[8] G. Prouse: Soluzioni periodiche dell'equazione delle onde non omogenea con termine dissipativo quadratico. Richerche di Mat., Vol. XIII, 2, 1964, 261 - 280. | MR | Zbl

[9] J. Sather: The intial-boundary value problem for a non-linear hyperbolic equation in relativistic quantum mechanics. Journal of Mathematics and Mechanics, Vol. 16, No 1, 1966, 27-50. | MR

[10] Taylor A. E., Bochner S.: Linear functionals on certain spaces of abstractly-valued functions. Annals of Math., 39, 1938, 913-944. | DOI | MR | Zbl

[11] C. H. Wilcox: Initial-boundary value problem for linear hyperbolic partial differential equations of the second order. Arch. Rational Mech. Analysis, 10 (1962), 364-400. | MR

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