Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be
Linear Operators and Operator Equations
β Scribed by V. I. Derguzov, V. A. Yakubovich (auth.), Academician V. I. Smirnov (eds.)
- Publisher
- Springer US
- Year
- 1971
- Tongue
- English
- Leaves
- 129
- Series
- Problems in Mathematical Analysis / Problemy Matematicheskogo Analiza / Μ ΡΠΎΠ±Π»Π΅ΠΌΡ ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΠ½Π°Π»ΠΈΠ·Π°
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Front Matter....Pages i-v
The Existence of Solutions of Linear Hamiltonian Equations with Unbounded Operators....Pages 1-21
Resonance in the Oscillation of Linear Systems under the Action of an Almost Periodic Parametric Perturbation....Pages 23-62
Some Properties of Transformers Defined by Double-Integral Operators....Pages 63-79
On Multidimensional Integral Operators....Pages 81-97
On One Class of Stieltjes Multiple-Integral Operators....Pages 99-108
On the Propagation of Love Waves along the Surface of an Inhomogeneous Elastic Body of Arbitrary Shape....Pages 109-113
The Dirichlet Problem for Two-Dimensional Quasi-Linear Second-Order Elliptic Equations....Pages 115-125
On Carlesonβs Uniqueness Theorem for Analytic Functions with a Finite Dirichlet Integral....Pages 127-129
π SIMILAR VOLUMES
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be
<p>In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of
In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the
Paper, 25 p, Program of Computer Graphics Cornell University, 1993.<br/>These notes introduce the basic concepts of integral equations and their application in global illumination. Much of the discussion is expressed in the language of linear operators to simplify the notation and to emphasize the a