Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 10, №. 1, pp. 4-10. ISSN 2313-0156
DOI: 10.18454/2313-0156-2015-10-1-4-10
MATHEMATICS
MSC 47F52+47F05
ON THE STABILITY OF THE BOUNDARY VALUE PROBLEM FOR EVEN ORDER EQUATION
A.V. Yuldasheva
National University of Uzbekistan by Mirzo Ulugbeka, 100174, Uzbekistan, Tashkent c., VUZ gorodok st.
E-mail: yuasv86@mail.ru
In this paper we consider ill-posed problem for one even-order equation. The stability of the problem is proved with the additional assumption.
Key words: partial differential equations, ill-posed problem, boundary value problem, algebraic numbers, the simple continued fraction.
References
- Bourgin-R. Duffin. D.G. The Dirichlet problem for the vibrating string equation. Bull. Amer. Math. Soc., 45(1939), 851-858.
2. Fox-C. Pucci. D. The Dirichlet problem for the wave equation. Ann. Mat. Pura Appl. (IV), vol. XLVI (1958),pp. 155-182.
3. John F. The Dirichlet problem for a hyperbolic equation. Amer. J. Math., 63(1941), pp. 141-154.
4. Viola C. Diophantine approximation in short intervals, Ann. Scuola Norm. Sup. Pisa, 6(1979), pp. 703-717.
5. Khinchin A. Ya. Continued fractions. The Universiry of Chicago Press, 1964, 112 p.
6. Yuldasheva А.V. On one problem for high-order. Reports of the Academy of Sciences of Uzbekistan, Tashkent, 2012, №5, pp. 11-14.
Original article submitted: 23.03.2015
Yuldasheva Asal Victorovna – Ph.D. (Phys. & Math.), Lecturer of the Dep. Differential Equations and Mathematical Physics, of the National University of Uzbekistan, Tashkent.
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