Title: Difference equations in normed spaces : stability and oscillations /
Authors: Gilʹ, M. I.
Publisher: Elsevier,
Year: 2007
Subjects: Difference equations.; Normed linear spaces.
Contents: Definitions and preliminaries -- Classes of operators -- Functions of finite matrices -- Norm estimates for operator functions -- Spectrum perturbations -- Linear equations with constant operators -- Liapunov's type equations -- Bounds for spectral radiuses -- Linear equations with variable operators -- Linear equations with slowly varying coefficients -- Nonlinear equations with autonomous linear parts -- Nonlinear equations with time-variant linear parts -- Higher order linear difference equations -- Nonlinear higher order difference equations -- Input-to-state stability -- Periodic solutions of difference equations and orbital stability -- Discrete Volterra equations in Banach spaces -- Convolution type Volterra difference equations in Euclidean spaces and their perturbations -- Stieltjes differential equations -- Volterra-Stieltjes equations -- Difference equations with continuous time -- Steady states of difference equations.