Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations
Feireisl, Eduard
Czechoslovak Mathematical Journal, Tome 40 (1990), p. 514-527 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  35B10,  35B15,  35L70
@article{102404,
     author = {Eduard Feireisl},
     title = {Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations},
     journal = {Czechoslovak Mathematical Journal},
     volume = {40},
     year = {1990},
     pages = {514-527},
     zbl = {0762.35066},
     mrnumber = {1065031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102404}
}
Feireisl, Eduard. Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations. Czechoslovak Mathematical Journal, Tome 40 (1990) pp. 514-527. http://gdmltest.u-ga.fr/item/102404/

Amerio L.; Prouse G. Almost-periodic functions and functional equations, Van Nostrand New York 1971. (1971) | MR 0275061 | Zbl 0215.15701

Arosio A. Linear second order differential equations in Hilbert spaces - the Cauchy problem and asymptotic behaviour for large time, Arch. Rational Mech. AnaI. 86 (2) (1984), pp. 147-180. (1984) | Article | MR 0751306 | Zbl 0563.35041

Kato T. Locally coercive nonlinear equations, with applications to some periodic solutions, Duke Math. J. 51 (4) (1984), pp. 923-936. (1984) | MR 0771388 | Zbl 0571.47051

Kato T. Quasilinear equations of evolution with applications to partial differential equations, Lecture Notes in Math., Springer Berlin 1975, pp. 25 - 70. (1975) | Article | MR 0407477

Krejčí P. Hard implicit function theorem and small periodic solutions to partial differential equations, Comment. Math. Univ. Carolinae 25 (1984), pp. 519-536. (1984) | MR 0775567

Lions J. L.; Magenes E. Problèmes aux limites non homogènes et applications I, Dunod Paris 1968. (1968)

Matsumura A. Global existence and asymptotics of the second-order quasilinear hyperbolic equations with the first-order dissipation, Publ. RIMS Kyoto Univ. 13 (1977), pp. 349-379. (1977) | Article | MR 0470507

Milani A. Time periodic smooth solutions of hyperbolic quasilinear equations with dissipation term and their approximation by parabolic equations, Ann. Mat. Pura Appl. 140 (4) (1985), pp. 331-344. (1985) | Article | MR 0807643

Petzeltová H.; Štědrý M. Time periodic solutions of telegraph equations in n spatial variables, Časopis Pěst. Mat. 109 (1984), pp. 60 - 73. (1984) | MR 0741209

Rabinowitz P. H. Periodic solutions of nonlinear hyperbolic partial differential equations II, Comm. Pure Appl. Math. 22 (1969), pp. Î5-39. (1969) | Article | MR 0236504 | Zbl 0157.17301

Shibata Y. On the global existence of classical solutions of mixed problem for some second order non-linear hyperbolic operators with dissipative term in the interior domain, Funkcialaj Ekvacioj 25 (1982), pp. 303-345. (1982) | MR 0707564

Shibata Y.; Tsutsumi Y. Local existence of solution for the initial boundary value problem of fully nonlinear wave equation, Nonlinear Anal. 11 (3) 1987, pp. 335-365. (1987) | Article | MR 0881723 | Zbl 0651.35053

Štědrý M. Small time-periodic solutions to fully nonlinear telegraph equations in more spatial dimensions, Ann. Inst. Henri Poincaré 6 (3) (1989), pp. 209-232. (1989) | MR 0995505

Vejvoda O.; Al. Partial differential equations: Time periodic solutions, Martinus Nijhoff PubI. 1982. (1982) | Zbl 0501.35001