Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 3 , Issue 2 , PP: 08-16, 2023 | Cite this article as | XML | Html | PDF

A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order

Josef Al Jumayel 1 *

  • 1 Faculty Of Science, Beirut Arab University, Beirut, Lebanon - (Josefjumayel113@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.030201

    Received: October 15, 2022 Accepted: January 14, 2023
    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

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    [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.

    Cite This Article As :
    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." Full Length Article, Vol. 3, No. 2, 2023 ,PP. 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)
    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 , 3 ( 2 ), 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)
    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 , 3 no. 2 (2023): 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)
    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 , 3 ( 2 ), 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)
    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 , (2023); 3 ( 2 ): 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)
    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 , Vol. 3 , No. 2 , (2023) : 08-16 (Doi   :  https://doi.org/10.54216/GJMSA.030201)