1
Faculty Of Science, Beirut Arab University, Beirut, Lebanon
(Josefjumayel113@gmail.com)
Abstract :
Most physical mathematical problems, when solved, turn into one or more partial differential equations with imposed initial conditions or boundary conditions . This is known as the boundary value problems of differential equations .This research studies the solution of the set of Partial Differential Equations of parabolic and hyperbolic-hyperbolic type with boundary conditions imposed in different regions of the plane x o y .
This research has been proving the theorem of uniqueness and the existence of the solution.
Keywords :
Boundary value; differential equation; partial differential equation
References :
[1] Alimov sh . And Bulatov A. K . One of the problems of subjective Boundary values of bitsadze's question . Journal of the Academy of Sciences of the Republic of Uzbekistan . No. 1 , pp. 12-8, 1992 .
[2] Bitsadze A.P. Issues of subjective boundary values . Journal of the Academy of Sciences of the USSR . Part (277) , No. 1 , pp. 19-17, 1984 .
[3] Gurlev T. V. Dr. Problems of limit values of mixed and mixed-composition differential equations . Tashkent, 1979 .
[4] Saboev A. One of the problems of boundary values of parabolic-hyperbolic differential equations . Journal of the Academy of Sciences of the Republic of Uzbekistan , No. 2 , pp. 99-87 , 1982 .
. [5] Smirnov M. M. Mixed differential equations . Moscow, 1985.
. [6] Vladimirov F. U . Physical mathematical equations . Moscow, 1981.
[7] Kireevov A. A . Jeffrey's problem of one of the equivalent differential equations "Journal of differential equations". Part (13) , No. (1), pp. 83-76, Moscow 1977.
Style | # |
---|---|
MLA | Josef Al Jumayel. "A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order." Galoitica: Journal of Mathematical Structures and Applications, Vol. 3, No. 2, 2023 ,PP. 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |
APA | Josef Al Jumayel. (2023). A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 2 ), 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |
Chicago | Josef Al Jumayel. "A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order." Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 no. 2 (2023): 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |
Harvard | Josef Al Jumayel. (2023). A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order. Journal of Galoitica: Journal of Mathematical Structures and Applications, 3 ( 2 ), 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |
Vancouver | Josef Al Jumayel. A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 3 ( 2 ): 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |
IEEE | Josef Al Jumayel, A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 3 , No. 2 , (2023) : 08-16 (Doi : https://doi.org/10.54216/GJMSA.030201) |