Nonlinear Equations and Operator Algebras
Autor V. A. Marchenkoen Limba Engleză Hardback – 31 dec 1987
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Specificații
ISBN-13: 9789027726544
ISBN-10: 902772654X
Pagini: 178
Ilustrații: XVI, 158 p.
Dimensiuni: 160 x 241 x 15 mm
Greutate: 0.44 kg
Ediția:1988
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 902772654X
Pagini: 178
Ilustrații: XVI, 158 p.
Dimensiuni: 160 x 241 x 15 mm
Greutate: 0.44 kg
Ediția:1988
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
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.