A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions

Naděžda Krylová; Otto Vejvoda

Czechoslovak Mathematical Journal (1971)

  • Volume: 21, Issue: 4, page 535-566
  • ISSN: 0011-4642

How to cite

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Krylová, Naděžda, and Vejvoda, Otto. "A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions." Czechoslovak Mathematical Journal 21.4 (1971): 535-566. <http://eudml.org/doc/12618>.

@article{Krylová1971,
author = {Krylová, Naděžda, Vejvoda, Otto},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {535-566},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions},
url = {http://eudml.org/doc/12618},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Krylová, Naděžda
AU - Vejvoda, Otto
TI - A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions
JO - Czechoslovak Mathematical Journal
PY - 1971
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 21
IS - 4
SP - 535
EP - 566
LA - eng
UR - http://eudml.org/doc/12618
ER -

References

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  1. N. Krylová О. Vejvoda, Periodic solutions to partial diff. equations, especially to a biharmonic wave equation, Atti del Convegno sui problemi di evoluzione. Maggio, 1970. Roma. (1970) 
  2. W. S. Hall, 10.1016/0022-0396(70)90098-7, Journal of Differential Equations, Vol. 7, No 3 May 1970, 509-526. (1970) MR0265738DOI10.1016/0022-0396(70)90098-7
  3. W. S. Hall, 10.1007/BF00281367, Archive for Rational Mechanics and Analysis, Vol. 39, N. 4, 1970, 294-322. (1970) Zbl0211.12704MR0274914DOI10.1007/BF00281367
  4. H. Petceltová, Periodic solutions of the equation u t t + u x x x x = ε f ( . , . , u ) , to appear. 
  5. O. Vejvoda, Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I, Czech. Math. J., 14 (89), 1964, 341-382. (1964) MR0174872
  6. D. Ch. Karimov, On the periodical solutions of nonlinear equations of the fourth order, Dokl. Akad. Nauk SSSR, 49 (1945), 618-621. (1945) MR0016195
  7. D. Ch. Karimov, On the periodical solutions of nonlinear equations of the fourth order, (Russian), Dokl. Akad. Nauk SSSR, 57 (1947), 651-653. (1947) MR0022649
  8. D. Ch. Karimov, On the periodical solutions of nonlinear equations of the fourth order, (Russian), Dokl. Akad. Nauk Uz. SSR, 1949, No 8, 3-7. (1949) MR0057418
  9. A. P. Mitrjakov, On the periodic solution of nonlinear partial differential equations of higher order, (Russian), Trudy Uzb. Gos. Univ., 1956, No 65, 31 - 44. (1956) 
  10. P. V. Solovieff, Sur les solutions périodique de certaines équations non-linéaires du quatrième ordre, Dokl. Akad. Nauk SSSR, 25 (1939), 731-734. (1939) MR0001892

Citations in EuDML Documents

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  1. Eduard Feireisl, On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
  2. Marie Kopáčková, Otto Vejvoda, Periodic vibrations of an extensible beam
  3. Jiří Pešl, Periodic solutions of a weakly nonlinear wave equation in one dimension
  4. Ivan Straškraba, Otto Vejvoda, Periodic solutions to abstract differential equations
  5. Hana Petzeltová, Periodic solutions of the equation u t t + u x x x x = ε f ( · , · , u , u t )

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