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Book Categories |
Acknowledgments | ||
Notation | ||
Introduction | 1 | |
1 | Ordinary Differential Equations with Nonlocal Boundary Conditions | 19 |
2 | Difference Operators in One Dimension | 26 |
3 | The Boundary Value Problem for the Differential-Difference Equation | 37 |
4 | Generalized and Classical Solutions | 53 |
5 | Applications to Control Systems with Delay | 71 |
6 | The Boundary Value Problem for the Differential-Difference Equation with Degeneration | 77 |
7 | Some Geometrical Constructions | 92 |
8 | Difference Operators in the Multidimensional Case | 96 |
9 | Necessary and Sufficient Conditions for Strong Ellipticity | 109 |
10 | Solvability and Spectrum | 122 |
11 | Smoothness of Generalized Solutions in Subdomains | 125 |
12 | Smoothness of Solutions on a Boundary of Neighboring Subdomains | 138 |
13 | Elliptic Differential Equations with Nonlocal Conditions on Shifts of Boundary | 147 |
14 | The Elastic Model | 161 |
15 | Variational and Boundary Value Problems | 166 |
16 | Smoothness of Solutions | 177 |
17 | The One-Dimensional Case | 180 |
18 | Self-Adjoint Extension of a Semi-Bounded Differential-Difference Operator | 187 |
19 | The Spectrum of Semi-Bounded Differential-Difference Operators | 193 |
20 | Smoothness of Solutions of Equations with Degeneration | 198 |
21 | Nonlocal Elliptic Problems with a Parameter | 211 |
22 | Elliptic Equations with Nonlocal Boundary Conditions in a Cylinder | 218 |
23 | Elliptic Differential-Difference Equations in a Cylinder | 225 |
24 | Applications to the Multidimensional Diffusion Processes | 230 |
25 | Elliptic Problems with Nonlocal Conditions near the Boundary and Feller Semigroups | 240 |
App. A | Linear Operators | 249 |
App. B | Functional spaces | 256 |
App. C | Elliptic Problems | 267 |
Bibliography | 275 | |
List of Symbols | 285 | |
Index | 292 |
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Add Elliptic Functional Differential Equations and Applications, Boundary value problems for elliptic differential-difference equations have some astonishing properties. For example, unlike elliptic differential equations, the smoothness of the generalized solutions can be broken in a bounded domain and is preserved on, Elliptic Functional Differential Equations and Applications to your collection on WonderClub |