ESTIMATE OF THE SOLUTION FOR DIFFERENTIAL OPERATOR EQUATION WITH SMALL PARAMETER
Abstract
In this paper, the representation of the solution to the Cauchy problem and the evolution of this solution in the case of uniqueness are investigated.The problem is considered in a Banach space E. For second-order differential operator equations with a small positive parameter, singular perturbation of the Cauchy problem with an initial condition is examined.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Nonlinear Differential Equations Analysis
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Proceedings of the Institute of Applied Mathematics
- Publication date
- 18 February 2026
- Language
- EN