Bulletin KRASEC. Phys. & Math. Sci, 2014, V. 9, №. 2, pp. 18-22. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2014-9-2-18-22

MSC 35C05

ON ONE PROBLE FOR HIGHER-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 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.

Key words: partial differential equations of higher order, not well posed problem, method of separation of variables, simple continued fractions.

References

  1. Frosali G. Papi. On the stability of the Dirichlet problem for the vibrating string equation. Ann. Scuola Norm. Sup. Pisa, 1979, vol. 6, pp. 719-728.
  2. Yuldasheva A.V. Ob odnoj zadache dlya uravneniya vysokogo poryadka [A problem for the equation of high order]. Doklady Akademii nauk Respubliki Uzbekistan – Reports of the Academy of Sciences of the Republic of Uzbekistan, 2012, no. 5, pp. 11-14.
  3. Hinchin A.Ya. Cepnye drobi [Continued fractions]. Leningrad, 1961. 112 p.

Original article submitted: 23.10.2014

Yuldasheva Asal Victorovna – Ph.D. (Phys. & Math.), LecturerYul of the Dep. Differential Equations and Mathematical Physics, of the National University of Uzbekistan, Tashkent.

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