Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I

Otto Vejvoda

Czechoslovak Mathematical Journal (1964)

  • Volume: 14, Issue: 3, page 341-382
  • ISSN: 0011-4642

How to cite

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Vejvoda, Otto. "Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I." Czechoslovak Mathematical Journal 14.3 (1964): 341-382. <http://eudml.org/doc/12225>.

@article{Vejvoda1964,
author = {Vejvoda, Otto},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial differential equations},
language = {eng},
number = {3},
pages = {341-382},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I},
url = {http://eudml.org/doc/12225},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Vejvoda, Otto
TI - Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I
JO - Czechoslovak Mathematical Journal
PY - 1964
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 3
SP - 341
EP - 382
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/12225
ER -

References

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  1. O. Vejvoda, Nonlinear boundary-value problems for differential equations, Diifferential Equations and Their Applications, Proceedings of the Conference held in Prague in September 1962, 199-215. (1962) MR0173072
  2. J. Kurzweil, Problems which lead to a generalization of the concept of an ordinary nonlinear differential equation, Differential Equations and Their Applications, Proceedings of the Conference held in Prague in September 1962, 65-76. (1962) MR0177173
  3. H. A. Артемьев, Периодические решения одного класса уравнений в частных производных, Изв. АН СССР, сер. матем., 7, 1937. (1937) Zbl0131.10103
  4. П. В. Соловьев, Некоторые замечания о периодических решениях нелинейных уравнений гиперболического типа, Изв. АН СССР, сер. матем., 2, 1939, 149-164. (1939) Zbl0165.04104
  5. А. П. Митряков, О решениях бесконечных систем нелинейных интегральных и интегродифференциальных уравнений, Тр. Уз. Гос. Унив., 37, 1948. (1948) Zbl1154.94303
  6. А. П. Митряков, О периодических решениях нелинейного уравнения гиперболического типа, Тр. МММ АН УзССР, 7,1949,137-149. (1949) Zbl1152.51302
  7. Г. Т. Соколов, О периодических решениях одного класса уравнений в частных производных, ДАН УзССР, 12, 1953, 3-7. (1953) Zbl1151.94459MR0062970
  8. В. Н. Карп, О периодических решениях одного нелинейного уравнения гиперболического типа, ДАН УзССР, 5, 1953. (1953) Zbl1151.94459
  9. В. Н. Карп, Применение метода волновых областей к решению задачи о вынужденных нелинейных периодических колебаниях струны, Изв. ВУЗ, матем., 6 (25), 1961, 51 - 59. (1961) Zbl1160.68305MR0164142
  10. В. Н. Карп, О существовании и единственности периодического решения одного нелинейного уравнения гиперболического типа, Изв. ВУЗ, мат., 5, 1963, 43 - 50. (1963) Zbl1145.93303
  11. L. J. Mordell, The series , Journ. of the London Math. Soc., 38 (1), 1963, 111-117. (1963) 
  12. Л. B. Канторович Г. П. Акилов, Функциональный анализ в нормированных пространствах, Москва, Гос. издат. физико-матем, лит., 1959. (1959) Zbl1234.81002

Citations in EuDML Documents

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  1. Naděžda Krylová, Otto Vejvoda, A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions
  2. Otto Vejvoda, Periodic solutions of a weakly nonlinear wave equation in in a spherically symmetrical case
  3. Nina Klimperová, Periodic solutions to the inhomogeneous sine-Gordon equation
  4. Michael W. Smiley, Results on linear and nonlinear hyperbolic boundary value problems at resonance
  5. Hana Lovicarová, Periodic solutions of a weakly nonlinear wave equation in one dimension
  6. Leopold Herrmann, Milan Štědrý, Periodic solutions of weakly nonlinear wave equations in unbounded intervals
  7. Jiří Pešl, Periodic solutions of a weakly nonlinear wave equation in one dimension
  8. Věnceslava Šťastnová, Otto Vejvoda, Periodic solutions of the first boundary value problem for a linear and weakly nonlinear heat equation
  9. Marie Kopáčková, On periodic solutions of some equations of mathematical physics
  10. Milan Štědrý, Otto Vejvoda, Periodic solutions to weakly nonlinear autonomous wave equations

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