By Luis Barreira

ISBN-10: 3540747745

ISBN-13: 9783540747741

ISBN-10: 3540747753

ISBN-13: 9783540747758

Main topic of this quantity is the steadiness of nonautonomous differential equations, with emphasis at the Lyapunov balance of recommendations, the lifestyles and smoothness of invariant manifolds, the development and regularity of topological conjugacies, the learn of middle manifolds, in addition to their reversibility and equivariance houses. such a lot effects are bought within the infinite-dimensional surroundings of Banach areas. additionally, the linear variational equations are continuously assumed to own a nonuniform exponential habit, given both by way of the life of a nonuniform exponential contraction or a nonuniform exponential dichotomy. The presentation is self-contained and has unified personality. the quantity contributes in the direction of a rigorous mathematical beginning of the speculation within the infinite-dimension atmosphere, and should result in extra advancements within the box. The exposition is directed to researchers in addition to graduate scholars drawn to differential equations and dynamical structures, relatively in balance theory.

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