Nonlinear Equations and Operator Algebras / Edition 1

Nonlinear Equations and Operator Algebras / Edition 1

by Vladimir Marchenko
     
 

ISBN-10: 902772654X

ISBN-13: 9789027726544

Pub. Date: 12/31/1987

Publisher: Springer Netherlands

Product Details

ISBN-13:
9789027726544
Publisher:
Springer Netherlands
Publication date:
12/31/1987
Series:
Mathematics and its Applications Series, #17
Edition description:
1988
Pages:
158
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1. General Scheme.- §1 Generalized Derivation and Logarithmic Derivatives.- §2 Examples of Nonlinear Equations.- §3 Projection Operation.- 2. Realization of the General Scheme in Matrix Rings and N-Soliton Solutions.- §1 Wronsky Matrices.- §2 Conditions of Invertibility of Some Wronsky Matrices.- §3 N-Soliton Solutions of Nonlinear Equations.- §4 Singular Solutions of Nonlinear Equations.- 3. Realization of the General Scheme in Operator Algebras.- §1 Extenstion of Algebra C?(B(H0).- §2 Solving Linear Equations in Algebra C?(B(H)).- §3 Additional Equations.- §4 Choice of Parameters.- §5 Properties of Logarithmic Derivatives with Respect to Conjunction Operation.- §6 Invertibility Conditions for Operators $$ \hat{\Gamma } $$.- 4. Classes of Solutions to Nonlinear Equations.- §1 Examples of Solutions to Nonlinear Equations.- §2 Connection with Inverse Problems of Spectral Analysis.- §3 KP Equation.- References.

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