2017
Том 69
№ 9

All Issues

Robustness of exponential dichotomies of boundary-value problems for general first-order hyperbolic systems

Kmit I. Ya., Recke L., Tkachenko V. I.

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Abstract

We examine the robustness of exponential dichotomies of boundary-value problems for general linear first-order one-dimensional hyperbolic systems. It is assumed that the boundary conditions guarantee an increase in the smoothness of solutions in a finite time interval, which includes reflection boundary conditions. We show that the dichotomy survives in the space of continuous functions under small perturbations of all coefficients in the differential equations.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 2, pp 260-276.

Citation Example: Kmit I. Ya., Recke L., Tkachenko V. I. Robustness of exponential dichotomies of boundary-value problems for general first-order hyperbolic systems // Ukr. Mat. Zh. - 2013. - 65, № 2. - pp. 236-251.

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