A complete description of dynamics generated by birth-and-death problem: a semigroup approach

Jacek Banasiak

Banach Center Publications (2003)

  • Volume: 63, Issue: 1, page 123-163
  • ISSN: 0137-6934

Abstract

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We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.

How to cite

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Jacek Banasiak. "A complete description of dynamics generated by birth-and-death problem: a semigroup approach." Banach Center Publications 63.1 (2003): 123-163. <http://eudml.org/doc/281863>.

@article{JacekBanasiak2003,
abstract = {We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.},
author = {Jacek Banasiak},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {123-163},
title = {A complete description of dynamics generated by birth-and-death problem: a semigroup approach},
url = {http://eudml.org/doc/281863},
volume = {63},
year = {2003},
}

TY - JOUR
AU - Jacek Banasiak
TI - A complete description of dynamics generated by birth-and-death problem: a semigroup approach
JO - Banach Center Publications
PY - 2003
VL - 63
IS - 1
SP - 123
EP - 163
AB - We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.
LA - eng
UR - http://eudml.org/doc/281863
ER -

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