Subexponential Solutions of Linear Volterra Difference Equations
Nonautonomous Dynamical Systems (2015)
- Volume: 2, Issue: 1, page 63-76, electronic only
- ISSN: 2353-0626
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topMartin Bohner, and Nasrin Sultana. "Subexponential Solutions of Linear Volterra Difference Equations." Nonautonomous Dynamical Systems 2.1 (2015): 63-76, electronic only. <http://eudml.org/doc/276534>.
@article{MartinBohner2015,
abstract = {We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.},
author = {Martin Bohner, Nasrin Sultana},
journal = {Nonautonomous Dynamical Systems},
keywords = {Subexponential; transient renewal; convolutions; Banach space; linear operator; subexponential},
language = {eng},
number = {1},
pages = {63-76, electronic only},
title = {Subexponential Solutions of Linear Volterra Difference Equations},
url = {http://eudml.org/doc/276534},
volume = {2},
year = {2015},
}
TY - JOUR
AU - Martin Bohner
AU - Nasrin Sultana
TI - Subexponential Solutions of Linear Volterra Difference Equations
JO - Nonautonomous Dynamical Systems
PY - 2015
VL - 2
IS - 1
SP - 63
EP - 76, electronic only
AB - We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
LA - eng
KW - Subexponential; transient renewal; convolutions; Banach space; linear operator; subexponential
UR - http://eudml.org/doc/276534
ER -
References
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- [2] John A. D. Appleby and David W. Reynolds. Subexponential solutions of linear integro-differential equations and transient renewal equations. Proc. Roy. Soc. Edinburgh Sect. A, 132(3):521–543, 2002. Zbl1009.45007
- [3] Cezar Avramescu and Cristian Vladimirescu. On the existence of asymptotically stable solutions of certain integral equations. Nonlinear Anal., 66(2):472–483, 2007. Zbl1110.45004
- [4] M. Bohner and A. Peterson. Dynamic equations on time scales. Birkhäuser Boston Inc., Boston, MA, 2001. An introduction with applications. Zbl0978.39001
- [5] Theodore Allen Burton. Volterra integral and differential equations, volume 167 of Mathematics in Science and Engineering. Academic Press Inc., Orlando, FL, 1983.
- [6] Walter G. Kelley and Allan C. Peterson. Difference equations. Harcourt/Academic Press, San Diego, CA, second edition, 2001. An introduction with applications. Zbl0970.39001
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