On Differential Equations with Retarded Argument
- 59 Downloads
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.
Keywordssystems with infinitely many ordinary differential equations differential equation with retarded argument
Unable to display preview. Download preview PDF.
- 1.Likhoshvai V. A., Fadeev S. I., Demidenko G. V., and Matushkin Yu. G., “Modeling by a delay equation of multiparae synthesis without bifurcation,” Sibirsk. Zh. Industr. Mat., 7, No.1, 73–94 (2004).Google Scholar
- 3.Godunov S. K., Ordinary Differential Equations with Constant Coefficients [in Russian], Novosibirsk Univ., Novosibirsk (1994).Google Scholar