Analysis of Some Boundary Value Problems for Mixed-Type Equations with Two Lines of Degeneracy
##plugins.themes.bootstrap3.article.main##
Аннотация
The article provides an overview of the practical significance of boundary value problems for mixed-type equations. methods for solving boundary value problems for a mixed-type equation with two degeneracy lines are analyzed and compared for cases when the degree of variables coefficients before second-order derivatives is the same and different. The problems arising in their solution are discussed.
##plugins.themes.bootstrap3.article.details##
Библиографические ссылки
Chaplygin S.A. About gas jets. (1993). Full composition of writings. Leningrad, Ed. Academy of Sciences
of the USSR.
Frankl F.I. (1945). On Chaplygin’s problems for mixed subsonic and supersonic flows. Izvestiya AN
SSSR, Series of Mathematics, 9.2.
Gellerstedt S. (1935). Sur une problem aux limites pour une equation lineaire aux derives partielles du
second ordre de tipe mixte, Thesis, Uppsala.
Lavrentiev M.A. (1950). On the problem of equations of mixed type, M.A. Lavrentiev, A.V. Bitsadze,
DAN USSR.
Salakhitdinov M.S., Islomov B.I. (2009). Mixed type equations with two lines of degeneracy. Tashkent.
“Mumtossuz”.
Gvazava J.K. (1967). Global solution of the Tricomi problem for a class of nonlinear differential equations
of mixed type, Differential Equations.
Aliev M.I. (1967). On Dirichlet problems for a class of quasilinear degenerate equations, Differential
Equations.
Mayorov I.V. (1966). Tricomi’s problem for a nonlinear equation of mixed type, Volzhsky Mathematical
Collection. Kazan, Issue 5.
Podgaev A.G. (1977). On the solvability of the generalized Tricomi problem for one nonlinear equation,
DAN SSSR, V.236. No. 6. pp.1307-1311.
Aziz K.F. and Schneider M. (1985). The Existence of Generalized Solutions for a Class of quasi-linear
Equation of Mixed Type, Journal of Math. Anal. and Applications.