Uniform approximation of solutions to the initial value problem for functional-differential equations by Dirichlet series (Q5951189)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Uniform approximation of solutions to the initial value problem for functional-differential equations by Dirichlet series |
scientific article; zbMATH DE number 1685274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform approximation of solutions to the initial value problem for functional-differential equations by Dirichlet series |
scientific article; zbMATH DE number 1685274 |
Statements
Uniform approximation of solutions to the initial value problem for functional-differential equations by Dirichlet series (English)
0 references
7 January 2003
0 references
The author considers the equation \[ {dy\over dt}= ay(t)+ by(t-\tau)+ F(y(t)), \] where \(F\) is an analytical function in a neighbourhood of the origin, \(F(0)= F'(0)= 0\). A theorem is proved on the existence of exponential series uniformly approximating the solution to the initial value problem.
0 references
solutions
0 references
functional-differential equations
0 references
Dirichlet series
0 references
