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INITIAL BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION FOURHT ORDER

Abstract

Investigation solvability boundary value problem for differential equation fourth order be occupied with many mathematicians in Russia and in abroad. This paper devoted investigation five boundary value problems for one equation fourth order. Regular solution one boundary value problem for differential equation with partial derivative fourth order exist and uniquely. Examples non stability solutions for three other boundary value problem for this equation are constructed. Example solution one boundary value problem for this equation is constructed, such that under condition analyticity coeffificients and analytic on the right-hand side given equation, but solution is not belong Sobolev's space H4,1(D).

About the Authors

Irina Olegovna Korkina
Kemerovo State University
Russian Federation


Nadegda Alexandrovna Chuesheva
Kemerovo State University
Russian Federation


References

1. Березанский, Ю. М., Разложение по собственным функциям самосопряженных операторов / Ю. М. Березанский. - Киев: Наукова думка, 1965. - 800 с.

2. Чуешева, Н. А., Об одной смешанной .задаче для уравнения 4-го порядка // Н. А. Чуешева // Применение методов функционального анализа к задачам математической физики и вычислитель¬ной математики: сб. науч. тр. / АН СССР, Сиб. отд-ние, Ин-т математики. - Новосибирск, 1979. -С. 146 - 151.

3. Galahtionov, V. A. On interfaces and oscillatory solutions of higher order semilinear parabdic equations with non Lipschitz nonlinearities // V. A. Galahtionov // Stud. Appl. Math. - 2006. - 117. - № 4. - P. 353 - 389.

4. Usman, Muhammad Forced oscillations of a olass of nonlinear dispersive wave equations and their stability / Muhammad Usman, Bingyu Zhang // J. Syst. Sci and Complex. - 2007. - Vol. 20. - № 2.-C. 284 - 292.

5. Mamedov, Y. A. On solution of a mixed problem for an equation of the fourth order with discontinuers coefficient / Yusif A. Mamedov, Saleh Z. Akhmedov // Trans. Nat. Acad. Sci. Azerb. Ser. Phys. - Techn. and Math. Sci. - 2006. - Vol. 26. - № 4. - P. 137 - 144.


Review

For citations:


Korkina I.O., Chuesheva N.A. INITIAL BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION FOURHT ORDER. The Bulletin of Kemerovo State University. 2011;(3-1):263-266. (In Russ.)

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ISSN 2949-2122 (Print)
ISSN 2949-2092 (Online)