Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers existing results from a fresh perspective.
Taking a clear, unified, and self-contained approach, the authors first develop the abstract general theory in the framework of weak solutions, before turning to cases of random and nonautonomous equations. They prove that time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. The book also addresses classical Faber-Krahn inequalities for elliptic and time-periodic problems and extends the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems. The final chapter presents applications to Kolmogorov systems of parabolic equations.
By thoroughly explaining the spectral theory for nonautonomous and random linear parabolic equations, this resource reveals the importance of the theory in examining nonlinear problems.
Описание: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself.
Описание: Reviews developments which have taken place concerning asymptotic properties of solutions of nonautonomous differential equations. The conditions of oscillation of solutions are established and some theorems on the classification of equations according to their oscillatory properties are proved.
Автор: Luis Barreira; Claudia Valls Название: Stability of Nonautonomous Differential Equations ISBN: 3540747745 ISBN-13(EAN): 9783540747741 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. This book is suitable for researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Описание: This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types - those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations.
Автор: Kloeden Peter E. Название: Nonautonomous Dynamical Systems in the Life Sciences ISBN: 3319030795 ISBN-13(EAN): 9783319030791 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.
Автор: Tom?s Caraballo; Xiaoying Han Название: Applied Nonautonomous and Random Dynamical Systems ISBN: 3319492462 ISBN-13(EAN): 9783319492469 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences.
Описание: This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.
Описание: A systematic study of the global behaviour of solutions of nonlinear scalar difference equations of order greater than one. Aspects such as global asymptotic stability, periodicity, permanence and persistence, and also semicycles of solutions are all covered.
Автор: Sandra Pinelas and Tom?s Caraballo Название: Differential and difference equations with applications. ISBN: 331975646X ISBN-13(EAN): 9783319756462 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017.
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