Exponential dichotomy of difference equations and applications to evolution equations on the half-line

From MaRDI portal
Publication:1600375

DOI10.1016/S0898-1221(01)00155-9zbMath1016.39007MaRDI QIDQ1600375

Nguyen Van Minh, Nguyen Thieu Huy

Publication date: 13 June 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)




Related Items

Existence and robustness of exponential dichotomy of linear skew-product semiflows over semiflowsAdmissibility and roughness of nonuniform exponential dichotomies for difference equationsExponential splitting for nonautonomous linear discrete-time systems in Banach spacesHyers-Ulam stability and discrete dichotomy for difference periodic systemsHölder shadowing on finite intervalsAdmissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov normsOne admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systemsDiscrete admissibility and exponential trichotomy of dynamical systemsFine structure of the dichotomy spectrumHyers-Ulam stability and discrete dichotomyAn extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operatorsNew characterizations of exponential dichotomy and exponential stability of linear difference equationsExponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-lineOn \((h,k)\)-dichotomies for nonautonomous linear difference equations in Banach spacesExponential dichotomy of evolution equations and admissibility of function spaces on a half-lineOn uniform exponential trisplitting of discrete skew-product semiflowsExponential dichotomy and boundedness for retarded functional difference equationsOn the asymptotic behavior of discrete dynamical systems -- an ergodic theory approachDiscrete and continuous versions of Barbashin-type theorem of linear skew-evolution semiflowsShadowing for infinite dimensional dynamics and exponential trichotomiesDiscretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflowsOn exponential dichotomy of variational difference equationsHyers-Ulam stability for linear differences with time dependent and periodic coefficients: the case when the monodromy matrix has simple eigenvalues



Cites Work