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Qualitative and Quantitative Analysis of Nonlinear Systems - Theory and Applications (Hardcover, 1st ed. 2018)
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Qualitative and Quantitative Analysis of Nonlinear Systems - Theory and Applications (Hardcover, 1st ed. 2018)
Series: Studies in Systems, Decision and Control, 111
Expected to ship within 12 - 19 working days
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Here, the authors present modern methods of analysis for nonlinear
systems which may occur in fields such as physics, chemistry,
biology, or economics. They concentrate on the following topics,
specific for such systems: (a) constructive existence results and
regularity theorems for all weak solutions; (b) convergence results
for solutions and their approximations; (c) uniform global behavior
of solutions in time; and (d) pointwise behavior of solutions for
autonomous problems with possible gaps by the phase variables. The
general methodology for the investigation of dissipative dynamical
systems with several applications including nonlinear parabolic
equations of divergent form, nonlinear stochastic equations of
parabolic type, unilateral problems, nonlinear PDEs on Riemannian
manifolds with or without boundary, contact problems as well as
particular examples is established. As such, the book is addressed
to a wide circle of mathematical, mechanical and engineering
readers.
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