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Author : Ralph E. Showalter
Publisher : Courier Corporation
Page : 226 pages
File Size : 50,10 MB
Release : 2011-09-12
Category : Mathematics
ISBN : 0486135799
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Author : Karl E. Gustafson
Publisher : Courier Corporation
Page : 500 pages
File Size : 44,95 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 0486140873
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
Author : Ralph E. Showalter
Publisher :
Page : 196 pages
File Size : 26,72 MB
Release : 1979
Category :
ISBN :
Author : R. E. Showalter
Publisher :
Page : 196 pages
File Size : 47,7 MB
Release : 1977
Category : Differential equations, Partial
ISBN :
Author : Krzysztof Kowalski
Publisher : World Scientific
Page : 148 pages
File Size : 12,75 MB
Release : 1994-07-26
Category : Science
ISBN : 9814502057
This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrödinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the “quantal” Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
Author : Jaak Peetre
Publisher :
Page : 394 pages
File Size : 36,47 MB
Release : 1957
Category :
ISBN :
Author : Martin Schechter
Publisher : Courier Corporation
Page : 259 pages
File Size : 25,65 MB
Release : 2014-01-15
Category : Mathematics
ISBN : 0486492966
When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.
Author : R. E. Showalter
Publisher :
Page : 298 pages
File Size : 15,20 MB
Release : 1968
Category : Differential equations, Partial
ISBN :
Lecture notes.
Author : Edward Milton Landesman
Publisher :
Page : 70 pages
File Size : 30,1 MB
Release : 1965
Category : Mathematics
ISBN :
The purpose of this paper is to study together with applications those aspects of the theory of Hilbert-Space which are pertinent to the theory of elliptic partial differential equations. This involves the study of an unbounded operator A from one Hilbert-Space to another together with its adjoint A*, its pseudo-inverse or generalized reciprocal A-1, and its *-reciprocal A' = A*-1. In order to carry out the results, further properties of the operators A-1 and A' are developed in this paper. In addition, the concepts of relative compactness and finite character are studied. These concepts play a significant role in the theory of partial differential equations. (Author).
Author : Karl E. Gustafson
Publisher :
Page : pages
File Size : 11,77 MB
Release : 1980
Category :
ISBN :