论文信息 - Asymptotically periodic solutions of Volterra system of difference equations

Asymptotically periodic solutions of Volterra system of difference equations

A Volterra system of difference equations of the form x"s(n+1)=a"s(n)+b"s(n)x"s(n)[email protected][email protected]?i=0nK"s"p(n,i)x"p(i) where [email protected]?N, a"s,b"s,x"s:N->R and K"s"p:NxN->R, s=1,2,...,r is studied. Sufficient conditions for the existence of asymptotically periodic solutions of this system are derived.

[1] Tetsuo Furumochi. Periodic solutions of Volterra difference equations and attractivity , 2001 .

[2] István Győri,et al. On exact convergence rates for solutions of linear systems of Volterra difference equations , 2006 .

[3] S. Yau. Mathematics and its applications , 2002 .

[4] F. Browder. Nonlinear functional analysis and its applications , 1986 .

[5] David I. Schneider,et al. Modern mathematics and its applications , 1980 .

[6] Ravi P. Agarwal,et al. Difference equations and inequalities , 1992 .

[7] Ewa Schmeidel,et al. On the asymptotically periodic solution of some linear difference equations , 1999 .

[8] Jarosław Morchało,et al. Asymptotic properties of solutions of some Volterra difference equations and second-order difference equations , 2005 .

[9] Satoru Murakami,et al. Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices , 2008 .

[10] Cathy Ann Clark,et al. Global behavior of nonlinear difference equations , 2004 .

[11] Ravi P. Agarwal,et al. Periodic solutions of first order linear difference equations , 1995 .

[12] S. Elaydi. An introduction to difference equations , 1995 .