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Robustness of Exponential Dichotomy Robustness of Exponential Dichotomy of Evolution Equations under Admissible Perturbations on a Half-line $43.00
Authors:  Nguyen Thieu Huy and Trinh Viet Duoc
Abstract:
Consider an evolution family u =(U(t,s))t ≥ s≥ 0 on a half-line ℝ+ and an integral equation u(t) = U(t,s) u(s)+ ∫ts U(t,ε) ε (ε)dε. Using the characterization of the exponential dichotomy of the evolution family by the solvability of this integral equation in admissible function spaces we study the robustness of the exponential dichotomy of evolution families on a half-line under perturbations belonging to such admissible function spaces. 


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Robustness of Exponential Dichotomy Robustness of Exponential Dichotomy of Evolution Equations under Admissible Perturbations on a Half-line