Mixed elliptic-hyperbolic- elliptic and hyperbolic- elliptic-hyperbolic types,
two parallel lines of hyperbolic degenerate,
the analogue of Tricomi problem,
Dirichlet problem,
mixed type equation with degenerate order,
Lavrentiev–Bitsadze equation,
the analоgue of Bitsadze extremum principle.
Main publications:
Kudaeva Zalina Valerevna, “Zadacha Dirikhle dlya uravneniya smeshannogo tipa s dvumya parallelnymi liniyami parabolicheskogo vyrozhdeniya”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 9:2 (2007), 39–43
Kudaeva Zalina Valerevna, “Ob odnom analoge zadachi Trikomi dlya uravneniya smeshannogo tipa s razryvnymi koeffitsientami na dvukh parallelnykh liniyakh parabolicheskogo vyrozhdeniya”, Izvestiya vuzov. Cevero-Kavkazskii region. Estestvennye nauki, 2 (2010), 19–22
Z. V. Kudaeva, “Extremum principle and solution uniqueness of the Dirichlet problem for the Lavrent'ev-Bitsadze equation with two parallel lines of degeneracy”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 4(15), 12–16
2.
Z. V. Kudaeva, “On the uniquness of the solution to the boundary value problem for a mixed degenerate hyperbolic equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 24–27; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 22–24
2015
3.
Z. V. Kudaeva, “On the uniqness of Tricomi problem analogue for mixed type equation with two degenerated parallel lines”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, no. 2(11), 13–16; Bulletin KRASEC. Phys. & Math. Sci., 11:2 (2015), 11–14
2010
4.
Z. V. Kudaeva, “Boundary problem for one equation of
the mixed type with order degeneration”, News of the Kabardin-Balkar scientific center of RAS, 2010, no. 3, 127–134
5.
Z. V. Kudaeva, “Краевая задача для уравнения смешанного типа с вырождением порядка”, Matem. Mod. Kraev. Zadachi, 3 (2010), 143–146