Uniformly valid asymptotic solution to a Volterra equation on an infinite interval
Journal Article
·
· Journal of Mathematical Physics
A Volterra equation on the infinite interval with a logarithmic kernel multiplied by a small parameter is analyzed. A Laplace transform solution is found; also, and approximate solution is given and proved to be uniformly asymptotic as the small parameter tends to zero for all time. The sloution has an algebraic-logarithmic decay for large times. The Volterra equation is a model for the transport of charged particles in a random magnetic field.
- Research Organization:
- Department of Mathematics, University of Illinois at Chicago Circle, Chicago, Illinois
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-014492
- OSTI ID:
- 4358319
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 14; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
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