L. Markus - Böcker
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2 produkter
2 produkter
Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators
Inbunden, Engelska, 1998
1 604 kr
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In the classical theory of self-adjoint boundary value problems for linear ordinary differential operators there is a fundamental, but rather mysterious, interplay between the symmetric (conjugate) bilinear scalar product of the basic Hilbert space and the skew-symmetric boundary form of the associated differential expression. This book presents a new conceptual framework, leading to an effective structured method, for analyzing and classifying all such self-adjoint boundary conditions. The program is carried out by introducing innovative new mathematical structures which relate the Hilbert space to a complex symplectic space.This work offers the first systematic detailed treatment in the literature of these two topics: complex symplectic spaces - their geometry and linear algebra - and quasi-differential operators. This title features: authoritative and systematic exposition of the classical theory for self-adjoint linear ordinary differential operators (including a review of all relevant topics in texts of Naimark, and Dunford and Schwartz); introduction and development of new methods of complex symplectic linear algebra and geometry and of quasi-differential operators, offering the only extensive treatment of these topics in book form; new conceptual and structured methods for self-adjoint boundary value problems; and, extensive and exhaustive tabulations of all existing kinds of self-adjoint boundary conditions for regular and for singular ordinary quasi-differential operators of all orders up through six.
312 kr
Skickas inom 11-20 vardagar
This extensively revised and expanded edition of ""Lectures in Differentiable Dynamics"", first published in 1971, provides an authoritative exposition of the central results of this fundamental and rapidly developing mathematical subject, starting from simple engineering systems and proceeding to current research topics concerning differentiable flows on manifolds. The original version of this monograph culminates in the research results of the 1960s, enphasizing the concepts of structural stability and generic dynamics - with references to Morse-Smale and Anosov hyperbolic differential systems.In the new edition there appears a general updating to cover research of the past decade through 1980, with a major supplemental Appendix reviewing the modern developments under five basic areas: nonlinear oscillations, diffeomorphisms and foliations, general theory - dissipative dynamics, general theory - conservative dynamics, and, chaos, catastrophe, and multi-valued trajectories. There is also an extensive bibliography, including special listings of important mathematical conferences, major survey articles, and current research articles.