Titlebook: Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control; Russell Johnson,Rafael Obaya,Roberta Fabbri Book 2016

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Book 2016uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains extensions of results which are well known when the co

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The Rotation Number and the Lyapunov Index for Real Nonautonomous Linear Hamiltonian Systems,f the index with respect to the coefficient matrix. In this chapter, and also in those that follow, the general analysis includes that of the dynamics given by a nonautonomous .-dimensional second order linear Schrödinger equation, which can always be written as a 2.-dimensional linear Hamiltonian system.

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The Floquet Coefficient for Nonautonomous Linear Hamiltonian Systems: Atkinson Problems,ite matrix-valued function satisfying an Atkinson nondegeneracy condition. Such a condition ensures the exponential dichotomy property for ., as well as the existence of the corresponding Weyl functions, which are determined by the initial data of the solutions bounded as .. These properties can be

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