In this work we discuss the existence of ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of ψ--bounded solutions for the linear nonhomogeneous d...In this work we discuss the existence of ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of ψ--bounded solutions for the linear nonhomogeneous difference equation x(n+1)=A(n)x(n)+f(n) for every ψ-bounded sequence f(n).展开更多
基金The NSF(Y2008A30,ZR2010AL011)of Shandong Province
文摘In this work we discuss the existence of ψ-bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of ψ--bounded solutions for the linear nonhomogeneous difference equation x(n+1)=A(n)x(n)+f(n) for every ψ-bounded sequence f(n).