International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 405-410
doi:10.1155/S0161171290000618
Operational calculus and differential equations with infinitely smooth coefficients
Dennis Nemzer
Department of Mathematics, California State University, Stanislaus, 801 West Monte Vista Avenue, Turlock 95380, CA, USA
Abstract
A subring MF of the field of Mikusiński operators is constructed as a countable union space. Some topological properties of MF are investigated. Then, the product of an infinitely differentiable function and an element of MF is given and is used to investigate operational equations with infinitely smooth coefficients.