Geodesic
A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions
Czechoslovak Mathematical Journal, Tome 21 (1971) no. 4, pp. 535-566

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DOI : 10.21136/CMJ.1971.101055
Classification : 35.12, 42.00 
Krylová, Naděžda; 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, Tome 21 (1971) no. 4, pp. 535-566. doi: 10.21136/CMJ.1971.101055
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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.

[2] W. S. Hall: On the Existence of Periodic solutions for the Equations $D_{tt} u + (- 1)^p D^{2p}_x u = \varepsilon f(., ., m)$. Journal of Differential Equations, Vol. 7, No 3 May 1970, 509-526. | DOI | MR

[3] W. S. Hall: Periodic Solutions of a class of Weakly Nonlinear Evolution Equations. Archive for Rational Mechanics and Analysis, Vol. 39, N. 4, 1970, 294-322. | DOI | MR | Zbl

[4] H. Petceltová: Periodic solutions of the equation $u_{tt} + u_{xxxx} = \varepsilon f(., ., u)$. 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. | MR

[6] D. Ch. Karimov: On the periodical solutions of nonlinear equations of the fourth order. Dokl. Akad. Nauk SSSR, 49 (1945), 618-621. | MR

[7] D. Ch. Karimov: On the periodical solutions of nonlinear equations of the fourth order. (Russian), Dokl. Akad. Nauk SSSR, 57 (1947), 651-653. | MR

[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. | MR

[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.

[10] P. V. Solovieff: Sur les solutions périodique de certaines équations non-linéaires du quatrième ordre. Dokl. Akad. Nauk SSSR, 25 (1939), 731-734. | MR

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