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Generalized exponential dichotomies for evolution operators
2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics, 2015In this paper, we consider a general concept of exponential dichotomy for abstract evolution equations, which contains, as a particular case, the classical concept of uniform exponential dichotomy. Some well-known results are extended in this case.
Nicolae Lupa +2 more
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A perturbation theorem for exponential dichotomies
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987SynopsisSuppose the linear equation x' = A(t)x has an exponential dichotomy and suppose B(t) is close to A(t) in the following sense: on any interval of length 2T, B(t) is close to some translate A(t + τ) of A(t) (actually the conditions in the paper are slightly weaker than this).
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On two notions of exponential dichotomy
Dynamical Systems, 2018In this paper, we propose a weaker form of hyperbolicity in which the conditional stability along the stable and unstable directions is allowed to be non-uniform depending on each particular vector...
Luis Barreira, Claudia Valls
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Exponential dichotomy and trichotomy for difference equations
Computers and Mathematics With Applications, 1999Jialin Hong
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Criteria for exponential dichotomy for triangular systems
Journal of Mathematical Analysis and Applications, 2015Flaviano Battelli, Kenneth J Palmer
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Uniform dichotomy and exponential dichotomy of evolution families on the half-line
Journal of Mathematical Analysis and Applications, 2006Bogdan Sasu
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