Serguei I. Iakovlev, Valentina Iakovleva
Abstract:
A linear system of mixed-type differential difference equations is studied.
A step derivation method and some conditions on an initial function are
used to guarantee existence, uniqueness and smoothness of the solution.
Further, a transformation group is defined on a complete countably normed
space of initial functions and the spectrum of the infinitesimal generator
of this group is studied.
The same technique applies to a linear system of retarded differential
difference equations. A problem to extend solutions of such a system to
the left on the real line is solved.
Submitted April 26, 2016. Published December 7, 2016.
Math Subject Classifications: 34K99, 47A10.
Key Words: Advance-delay differential-difference equations;
step derivation method; uniqueness; transformation group;
infinitesimal generator; point spectrum.
Show me the PDF file (272 KB), TEX file for this article.
 |
Serguei I. Iakovlev Departamento de Matematicas Universidad Simon Bolivar Apartado Postal 89000 Caracas 1080-A, Venezuela email: serguei@usb.ve, serguei.rusa@gmail.com |
|---|---|
 |
Valentina Iakovleva Departamento de Matematicas Universidad Simon Bolivar Apartado Postal 89000 Caracas 1080-A, Venezuela email: romanova@usb.ve, valentina.iakovleva1@gmail.com |
Return to the EJDE web page