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

doi:https://doi.org/10.54216/GJMSA.030201

Full Length Article

Volume 3 • Issue 2 • PP: 08-16 • 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

Josef Al Jumayel ^1*

mail

¹Faculty Of Science, Beirut Arab University, Beirut, Lebanon

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.030201

format_quote Cite this article

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

View PDF open_in_new

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.

Cite This Article

Choose your preferred format

format_quote

Jumayel, Josef Al. "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. Volume 3, no. Issue 2, 2023, pp. 08-16. DOI: https://doi.org/10.54216/GJMSA.030201

Jumayel, 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, Volume 3(Issue 2), 08-16. DOI: https://doi.org/10.54216/GJMSA.030201

Jumayel, Josef Al. "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 Volume 3, no. Issue 2 (2023): 08-16. DOI: https://doi.org/10.54216/GJMSA.030201

Jumayel, 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, Volume 3(Issue 2), pp. 08-16. DOI: https://doi.org/10.54216/GJMSA.030201

Jumayel 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. 2023;Volume 3(Issue 2):08-16. DOI: https://doi.org/10.54216/GJMSA.030201

J. 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. Volume 3, no. Issue 2, pp. 08-16, 2023. DOI: https://doi.org/10.54216/GJMSA.030201

Digital Archive Ready