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

verified

Open Access & Copyright

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

policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready