CONSTRUCTION OF THE GREEN'S FUNCTION FOR SECOND-ORDER  DIFFERENTIAL EQUATIONS WITH HOMOGENEOUS BOUNDARY CONDITIONS

Zhakshylyk Zulpukarov; Tynchtykbek Rahmetdula uulu; Gulnara Egember kyzy

Abstract

This article is intended for students and undergraduates interested in automating the calculations of ordinary differential equations. The derivation and examples of constructing the Green function for ordinary homogeneous differential equations of the second order are given. The possibility of analyzing the solution of the boundary value problem of solutions of homogeneous differential equations of the second order is investigated

Keywords

Grin function, differential equation, solution, interval, matrix rank, constant, initial condition, boundary condition

References

Bibikov, Y.N. (1991). A course in ordinary differential equations. Moscow: Vysshaya Shkola.
Valeev, K.G., & Finin, G.S. (1981). Construction of Lyapunov functions. Kiev: Naukova Dumka.
Coddington, E.A., & Levinson, N. (1958). Theory of ordinary differential equations. Moscow: Foreign Literature Publishing House.
Lizorkin, P.I. (1981). Course of differential and integral equations. Moscow: Nauka.
Imanaliev, M.I., Baizakov, A.B., & Kenenbaeva, G.M. (2005). Methods for solving ordinary differential equations. Bishkek: Turar.

Suggested citation

Zulpukarov, Zh., Rahmetdula uulu, T., & Egember kyzy, G. (2025). CONSTRUCTION OF THE GREEN'S FUNCTION FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH HOMOGENEOUS BOUNDARY CONDITIONS. News of Osh Technological University, 25(1), 160-167.