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An existence theorem for the discrete coagulation–fragmentation equations

II. Inclusion of source and efflux terms

Published online by Cambridge University Press:  24 October 2008

John L. Spouge
John L. Spouge
Affiliation:
Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, NM 86745, U.S.A.
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Abstract

This paper proves the existence of solutions for the discrete coagulation–fragmentation equation over all times, even when source and efflux terms are present. The hypotheses required cover most physical applications. Roughly speaking, the hypotheses ensure a finite flux of mass through the system. The techniques used, which extend those in I of this series, may apply to other infinite systems of differential equations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 183 - 185
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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