EXPONENTIAL DICHOTOMY OF DIFFERENCE EQUATIONS IN lp -PHASE SPACES ON THE HALF-LINE
نویسنده
چکیده
For a sequence of bounded linear operators {An}n=0 on a Banach space X , we investigate the characterization of exponential dichotomy of the difference equations vn+1 = Anvn. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations vn+1 = Anvn + fn in lp spaces (1 ≤ p <∞). Then we apply the results to study the robustness of exponential dichotomy of difference equations.
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