Generalized Solutions of Operator Equations and Extreme Elements

• Main Authors: Klyushin, D.A (Author), Lyashko, S.I (Author), Nomirovskii, D.A (Author), Petunin, Yu.I (Author), Semenov, V.V (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Edition: 1.
• Series: Springer Optimization and Its Applications, 55
• Subjects: Mathematics.; Difference equations.; Functional equations.; Operator theory.; Calculus of variations.; Topology.; Calculus of Variations and Optimal Control; Optimization.; Operator Theory.; Difference and Functional Equations.

The abstract models for many problems in science and engineering take the form of an operator equation; the resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. Generalized Solutions of Operator Equations and Extreme Elements presents...

Table of Contents:

• Preface
• 1. Fundamental notions, general and auxiliary facts
• 2. Simplest schemes of generalized solution of linear operator equations
• 3. A priori estimations for linear continuous operator
• 4. Applications of the theory of generalized solvability of linear equations
• 5. Scheme of generalized solutions of linear operator equations
• 6. Scheme of generalized solutions of nonlinear operator equations
• 7. Generalized extreme elements
• Reference.-.