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. Marie Kopáčková, Otto Vejvoda, Periodic vibrations of an extensible beam
  2. Jiří Pešl, Periodic solutions of a weakly nonlinear wave equation in one dimension
  3. Eduard Feireisl, On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
  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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