MIXED PROBLEM FOR THE FORTH ORDER POLYLINEAR PSEUDOHYPERBOLIK  EQUATIONS WITH NONSMOOTH COEFFICIENT

G. Shukurova; J. Mamedova

doi:10.31618/ESSA.2782-1994.2022.1.77.234

MIXED PROBLEM FOR THE FORTH ORDER POLYLINEAR PSEUDOHYPERBOLIK EQUATIONS WITH NONSMOOTH COEFFICIENT

Автор(и)

G. Shukurova Baku State University
J. Mamedova Baku State University

DOI:

https://doi.org/10.31618/ESSA.2782-1994.2022.1.77.234

Ключові слова:

polylinear pseudohyperbolic equations, nonsmooth coefficients, smooth functions.

Анотація

In this work the mixed problem for the forth order polylinear pseudohyperbolic equations is considered, when some coefficients are sufficiently smooth functions and some have bounded variations. The definition of weak solution is introduced. The theorem of existence and uniqueness of weak solution of the mixed problem.

Біографії авторів

G. Shukurova , Baku State University

Department of higher mathematics

J. Mamedova , Baku State University

Department of optimal variations

Посилання

A.B.Aliev, N.A.Suleymanov, A mixed problem for some classes quasilinear Sobolev type equations. Transactions of National Academy of Sciences of Azerb., XXIV, №1 (2004), 27-36.

L.De Simon and G.Torelli, Linear second order differential equations with discontinuous coefficients in Hilbert spaces. Ann. Scuola Norm. Sup. Pisa, IV, 1 (1974), 131-154.

A.B.Aliev, G.D.Shukurova, Quasilinear hyperbolic equations with discontinuous coefficients. Transactions of National Academy of Sciences of Azerb., XXVI, №1 (2006), 15-23. 4. Zh.-L.Lions, Je.Madzhenes, Neodnorodnye granichnye zadachi i ih prilozhenija, M., Mir, 1971,371 s.