Tangency, flow invariance for differential equations, and optimization problems
著者
書誌事項
Tangency, flow invariance for differential equations, and optimization problems
（Monographs and textbooks in pure and applied mathematics, 219）
Marcel Dekker, c1999
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
"Provides a great deal of material that is completely new to the field of flow invariance, offering fresh insights for experienced mathematicians and rigorous training for students new to the specialty. Four useful appendices supply the methods used throughout the book, making it a totally self-referential and self-contained unit. Features many results that are exclusive to the authors."
目次
- Tangent vectors to closed sets
- flow-invariant sets
- second order differential equations and flow-invariance
- flow-invariant sets with respect to semilinear differential equations
- a transversability approach to flow-invariance
- optimization and optimal control via tangential cones
- critical point theory on flow-invariant sets
- elements of nonlinear analysis
- the approximate difference scheme and nonlinear semigroups
- Banach manifolds and vector fields
- generalized gradients.
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