Generalized Solutions of Operator Equations and Extreme Elements

1. The Major Definitions, Concepts and Auxiliary Facts
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

2. The Simplest Schemes of Generalized Solution of Linear Operator Equation
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

3. A Priori Estimates for Linear Continuous Operators
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

4. Applications of the Theory of Generalized Solvability of Linear Equations
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

5. Computation of Near-Solutions of Operator Equations
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

6. General Scheme of the Construction of Generalized Solutions of Operator Equations
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

7. Concept of Generalized Solution of Nonlinear Operator Equation
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

8. Generalized Extreme Elements
D. A. Klyushin, S. I. Lyashko, D. A. Nomirovskii, Yu. I. Petunin, V. V. Semenov

Keywords: Mathematics, Calculus of Variations and Optimal Control, Optimization, Operator Theory, Difference and Functional Equations, Topology