Subexponential Solutions of Linear Volterra Difference Equations

• Autorzy: Martin Bohner , Nasrin Sultana
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Subexponential; transient renewal; convolutions; Banach space; linear operator

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-03-05

zaakceptowano

2015-09-17

online

2015-10-16

Twórcy

autor

Martin Bohner

• Department of Mathematics, Missouri University of Science and Technology, Rolla, MO 65409-0020 USA

autor

Nasrin Sultana

• Department of Mathematics, Missouri University of Science and Technology, Rolla, MO 65409-0020 USA

Bibliografia

• [1] Ravi P. Agarwal. Difference equations and inequalities, volume 228 of Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York, second edition, 2000. Theory, methods, and applications.
• [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.
• [3] Cezar Avramescu and Cristian Vladimirescu. On the existence of asymptotically stable solutions of certain integral equations. Nonlinear Anal., 66(2):472–483, 2007.
• [4] M. Bohner and A. Peterson. Dynamic equations on time scales. Birkhäuser Boston Inc., Boston, MA, 2001. An introduction with applications.
• [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.

Identyfikatory

DOI

10.1515/msds-2015-0005