참고문헌
- Babenko K.I., To the theory of the mixed-type equations, PhD thesis (1951).
- Beryozin S.I., About Cauchy problem for linear equation of the second order with initial conditions on parabolic line, Math. collection., 24 (1949), 301-320.
- Bicadze. A.V., Liner mixed-type differential equations with partial derivatives, Reports AS USSR 3 (1958), 36-42.
- Bicadze. A.V., Equations of the mixed type. Moscow, (1959).
- Eleev. V.A, About some problems of Cauchy problem type with shift for one degenerate hyperbolic equation, J. Differential equations. 12(1) (1976), 46-58.
- Frankl F.I. , About Cauchy problem for the mixed equation of elliptic - hyperbolical type with initial conditions on transient line, lime of AS USSR, series. mathematica, 8(5) (1945), 195-224.
- Gellstedt S., Boundary value problem for the linear equation the second order of the mixed type of the second kind, Upsala (1935).
-
Gellstedt S., About a one boundary problem for the equation
$y^{2s}z_{xx}$ +$z_{yy}$ = 0, Archive Math., Astronomy and Physics, 25A(10) (1935), 1-12. -
Gellerstedt S., Solution of mixed problem's for equation
$y^mz_{xx}$ +$z_{yy}$ , Archive Math., Astronomy and Physics, 26A(3) (1936), 1-32. - Gellerstedt S., About linear equation second order of the mixed type, Archive Math., Astronomy and Physics, 25A(29) (1937), 1-23.
- Germain P., Bader R., Problem of Trikomi, Reports AS Paris, 232 (1951), 463- 465.
- Helwig G., About a partial differential equation of second order of the mixed type, Mathematical Notes, 61 (1954), 26-46.
-
Holmgren E., About a one boundary problem for the equation
$y^mz_{xx}$ +$ z_{yy} $ = 0, Archive for Math., Astronomy and Physics, 19(14) (1926), 1-3. - Isamuhamedov S.S., Modified Tricomi problem for the mixed-type equation of the second kind, Collection of works "Boundary value problems for differential equations". Tashkent, (1971).
- Karol, I.L., On a boundary value problem for the mixed elliptic-hyperbolic equation, Report of AS USSR, 88(2) (1953), 197-200.
- Keldish M.V., On some accident degenerates of the elliptical equations on boundary of domain Reports AS USSR, 77(2) (1951), 181-183.
- Mamadaliev, N.K., Non-local problems for parabolic-hyperbolic equation, Uzbek Math. Journal 5 (1991), 37-44.
- Mamadaliev, N.K., Representation of a solution to modified Cauchy Problem, Siberian Math. Journal, 41(5) (2000), 1087-1097.
- Okunev L.Ya., Hight algebra. Moscow, (1958).
- Oleinik O.A., About equations of elliptical type which degenerated on boundary of domain Reports AS USSR, 87(6) (1952), 885-887.
- Protter M.H., The Cauchy problem for a hyperbolic second order equation, J. of Math., 6(4) (1954), 542-553.
- Prudnikov, A.P., Brychkov Yu.A. and Marichev O.I., Integrals and Series. Special Functions, Moscow, (1983).
- Smirnov M.M., Equations of mixed type. Moscow, (1970).
- Tersenov, S.A., To the theory of hyperbolic equations with facts on the line of degeneration type, Siberian Mathematical Journal, 2(6) (1961), 913-935.
- Tricomi F., About liner mixed-type equations, Moskow (1947).
피인용 문헌
- Tricomi Problem for Second Kind Parabolic Hyperbolic Type Equation vol.41, pp.1, 2011, https://doi.org/10.1134/s1995080220010096