Galoitica: Journal of Mathematical Structures and Applications

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

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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    [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.

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    [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 :
    Al, Josef. 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. , no. , 2023, pp. 08-16. DOI: https://doi.org/10.54216/GJMSA.030201
    Al, J. (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. Galoitica: Journal of Mathematical Structures and Applications, (), 08-16. DOI: https://doi.org/10.54216/GJMSA.030201
    Al, Josef. 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 , no. (2023): 08-16. DOI: https://doi.org/10.54216/GJMSA.030201
    Al, J. (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. Galoitica: Journal of Mathematical Structures and Applications , () , 08-16 . DOI: https://doi.org/10.54216/GJMSA.030201
    Al J. [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. Galoitica: Journal of Mathematical Structures and Applications. (): 08-16. DOI: https://doi.org/10.54216/GJMSA.030201
    Al, J. "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. , no. , pp. 08-16, 2023. DOI: https://doi.org/10.54216/GJMSA.030201