Geodesic
On the stability of the boundary value problem for even order equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2015), pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper not well posed problem for the even-order equation is studied. The stability of the problem is restored by additional conditions and conditions to domain.
Keywords: partial differential equations of higher order, not well posed problem, method of separation of variables, simple continued fractions. 
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A. V. Yuldasheva. On the stability of the boundary value problem for even order equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2015), pp. 5-11. http://geodesic.mathdoc.fr/item/VKAM_2015_1_a0/

[1] D. G. Bourgin, R. Duffin, “The Dirichlet problem for the vibrating string equation”, Bull. Amer. Math. Soc., 45 (1939), 851–858 | DOI | MR

[2] D. Fox, C. Pucci, “The Dirichlet problem for the wave equation”, Ann. Mat. Pura Appl., XLVI (1958), 155–182 | DOI | MR | Zbl

[3] F. John, “The Dirichlet problem for a hyperbolic equation”, Amer. J. Math., 63 (1941), 141–154 | DOI | MR

[4] A. V. Yuldasheva, “Ob odnoi zadache dlya uravneniya vysokogo poryadka”, Doklady Akademii nauk Respubliki Uzbekistan, 2012, no. 5, 11–14

[5] A. V. Yuldasheva, “Ob odnoi zadache dlya uravneniya vysokogo poryadka”, Vestnik KRAUNTs. fiziko-matematicheskie nauki, 2014, no. 2(9), 17–22

[6] A. Ya. Khinchin, Continued fractions, The Universiry of Chicago Press, 1964, 112 pp. | MR | Zbl

[7] C. Viola, “Diophantine approximation in short intervals”, Ann. Scuola. Norm. Sup. Pisa, 6 (1979), 703–717 | MR | Zbl