Topics on stability and periodicity in abstract differential equations free ebook download.

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Topics on stability and periodicity in abstract differential equations free ebook download

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Mathematics

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Author(s):	James Hetao Liu Gaston M N'Guerekata Nguyen Van Minh

Date:	2008	Format:	DJVU	Language:	English	ISBN/ASIN:	9812818235
Pages:	219	OCR:		Quality:		ISBN13:
Uploader:	Gustavi	Upload Date:	11/16/2019 10:52:58 PM

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This volume presents a unified theory of shock waves corresponding to gravitational and electromagnetic fields and to magnetohydrodynamics in the context of general relativity. The common tool employed is provided by tensor distribution   an approach which has been systematically developed by the author since 1962. One remarkable result is that this yields a complete theory of magnetohydrodynamic shock waves, which can also be applied to the treatment of pulsars. The same method is also applicable to the quantization of some physical fields in curved space-time. This, too, is discussed in the book. For graduate students and researchers in mathematical physics and theoretical astrophysics "This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who have some experience with ordinary differential equations. The book is intended for graduate students and researchers in the related areas." BOOK JACKET. Banach spaces and linear operators   Strongly continuous semigroups of operators   Spectral theory   Stability and exponential dichotomy   Perron theorem   Evolution semigroups and Perron theorem   Stability theory   Almost periodic solutions   Evolution semigroups & periodic equations   Sums of commuting operators   Decomposition theorem   Almost automorphic solutions   The inhomogeneous linear equation   Method of invariant subspaces and almost automorphic solutions of second-order differential equations   Existence of almost automorphic solutions to semilinear differential equations   Method of sums of commuting operators and almost automorphic functions   Almost automorphic solutions of second order evolution equations   The equations x'=f(t,x)   Nonlinear equations   Periodic solutions of nonlinear equations   Evolution semigroups and almost periodic solutions

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