Abstract
We consider an application of the projection method to a boundary-value problem for integro-differential equations with restrictions and control and propose a calculation scheme for the method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko, Generalized Inverse Operators and Noetherian Boundary-Value Problems [in Russian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (1995).
A. Yu. Luchka, “Methods for the investigation of systems of differential equations with restrictions,” in: Proceedings of the Ukrainian Mathematical Congress [in Ukrainian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv (2001), pp. 43–59.
A. Yu. Luchka, “Integral equations with restrictions and methods for their solution,” Kibern. Sist. Anal., No. 3, 82–96 (1996).
A. Yu. Luchka, “Even systems of functional differential equations with restrictions and methods for their solution,” Nelin. Kolyvannya, 10, No. 1, 113–125 (2007).
O. B. Nesterenko, “Iterative method for the solution of integro-differential equations with restrictions,” Nelin. Kolyvannya, 10, No. 3, 336–347 (2007).
Author information
Authors and Affiliations
Additional information
__________
Translated from Neliniini Kolyvannya, Vol. 11, No. 2, pp. 208–216, April–June, 2008.
Rights and permissions
About this article
Cite this article
Luchka, A.Y., Nesterenko, O.B. Projection method for the solution of integro-differential equations with restrictions and control. Nonlinear Oscill 11, 219–228 (2008). https://doi.org/10.1007/s11072-008-0025-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11072-008-0025-5