Geodesic
Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy
Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 13-29

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A relationship between the existence of well-posed boundary-value problems and exponential dichotomy for functional equations and linear differential-operator equations on a half-line is considered. It is shown that well-posed boundary-value problems can exist for equations without the exponential dichotomy property.
Keywords: differential operator equation, boundary-value problem, hyperbolic operator, exponential dichotomy, spectrum. 
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     author = {A. B. Antonevich and E. V. Panteleeva},
     title = {Well-Posed {Boundary-Value} {Problems,} {Right} {Hyperbolicity,} and {Exponential} {Dichotomy}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a1/}
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A. B. Antonevich; E. V. Panteleeva. Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy. Matematičeskie zametki, Tome 100 (2016) no. 1, pp. 13-29. http://geodesic.mathdoc.fr/item/MZM_2016_100_1_a1/