On Differential Equations with Retarded Argument
- Cite this article as:
- Demidenko, G.V. & Likhoshvai, V.A. Sib Math J (2005) 46: 417. doi:10.1007/s11202-005-0045-7
We study the limit properties of solutions to one class of systems of differential equations as the number of equations and some parameters tend to infinity. We establish a close connection between solutions to these systems and differential equations with retarded argument. Our convergence theorems provide a new method for approximation of solutions to nonlinear differential equations with retarded argument.