On uniform N-equistability
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Publication:1078746
DOI10.1016/0022-247X(86)90006-5zbMath0597.34064OpenAlexW2042868145MaRDI QIDQ1078746
Publication date: 1986
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(86)90006-5
Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (30)
Exponential instability of linear skew-product semiflows in terms of Banach function spaces ⋮ On uniform exponential \(N\)-dichotomy ⋮ Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows ⋮ A version of a theorem of R. Datko for stability in average ⋮ On uniform exponential stability for skew-evolution semiflows on Banach spaces ⋮ On weak exponential expansiveness of skew-evolution semiflows in Banach spaces ⋮ Obstructions to the uniform stability of a \(C_{0}\)-semigroup ⋮ Strong nonuniform behaviour: a Datko type characterization ⋮ A weak integral condition and its connections with existence and uniqueness of solutions for some abstract Cauchy problems in Banach spaces ⋮ On uniform \(h\)-dichotomy of skew-evolution cocycles in Banach spaces ⋮ A version of a theorem of R.\,Datko for nonuniform exponential contractions ⋮ Weak real integral characterizations for exponential stability of semigroups in reflexive spaces ⋮ Averaging theorems for the large-time behavior of the solutions of nonautonomous systems ⋮ Generalizations of a theorem of Rolewicz ⋮ Individual stability and instability for evolutionary processes ⋮ A Rolewicz-type characterization of nonuniform behaviour ⋮ Integral conditions for exponential dichotomy: a nonlinear approach ⋮ Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows ⋮ Nonlinear criteria for the existence of the exponential trichotomy in infinite dimensional spaces ⋮ Meagre functions and asymptotic behaviour of dynamical systems ⋮ Exponential stability for linear skew-product flows ⋮ Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes ⋮ On weak exponential stability of evolution operators in Banach spaces ⋮ An extension of a theorem of R. Datko to the case of (non)uniform exponential stability of linear skew-product semiflows ⋮ Discrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflows ⋮ Datko-Pazy conditions for nonuniform exponential stability ⋮ On a theorem of Rolewicz for semigroups of operators in locally convex spaces ⋮ On the Rolewicz theorem for evolution operators ⋮ Lower semicontinuity and the theorem of Datko and Pazy ⋮ On exponential h-expansiveness of semigroups of operators in Banach spaces
Cites Work
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