Almost periodic linear differential equations with non-separated solutions
نویسندگان
چکیده
منابع مشابه
Almost periodic linear differential equations with non-separated solutions
A celebrated result by Favard states that, for certain almost periodic linear differential systems, the existence of a bounded solution implies the existence of an almost periodic solution. A key assumption in this result is the separation among bounded solutions. Here we prove a theorem of anti-Favard type: if there are bounded solutions which are non-separated (in a strong sense) sometimes al...
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3(dx,t____~ =A( t ) x ( t )+ f ( t , x ( t ) ) , x ( t r l ( t ) ) , . . . , x ( t f k (t)), (1) dt such that the associated homogeneous linear system satisfies exponential dichotomy and deviations of the argument axe not restricted by any sign assumption. The exponential stability of the solution when the system is with delay argument is considered. (~) 2004 Elsevier Ltd. All rights reserved. ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2006
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2006.03.027