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Methods of contour integration /
Methods of Contour Integration.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Amsterdam :
North-Holland Pub. Co.,
1967.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 3. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Methods of Contour Integration; Copyright Page; Preface; Editorial Note; Table of Contents; Introduction; Part One: THE RESIDUE METHOD; CHAPTER 1. Dini's theorem generalised; 1.1 LAGRANGE'S FORMULA AND SYSTEMS OF INTEGRAL EQUATIONS; 1.2 GENERALISED EXISTENCE THEOREM; 1.3 EXISTENCE THEOREMS; CHAPTER 2. Asymptotic representations of solutions of linear differential equations with a complex parameter; 2.1 FORMAL SOLUTIONS OF FIRST-ORDER SYSTEMS; 2.2 ASYMPTOTIC REPRESENTATIONS OF SOLUTIONS OF A SYSTEM OF FIRST-ORDER EQUATIONS
- 2.3. ASYMPTOTIC REPRESENTATIONS OF SOLUTIONS OF A SINGLE EQUATION OF HIGHER ORDERCHAPTER 3. Expansion of vector-valued functions; 3.1 BOUNDARY-VALUE PROBLEMS FOR A SYSTEM OF FIRST-ORDER EQUATIONS WITH PIECEWISE-SMOOTH COEFFICIENTS; 3.2 THEOREM ON THE EXPANSION IN SERIES OF RESIDUES OF SOLUTIONS OF BOUNDARY-VALUE PROBLEMS WITH A PARAMETER FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS COEFFICIENTS; 3.3 DERIVATION OF THE SOLUTION OF THE SPECTRAL PROBLEM FOR A SINGLE EQUATION OF HIGHER ORDER WITH DISCONTINUOUS COEFFICIENTS
- CHAPTER 4. Solution of one-dimensional mixed problems for systems of equations with discontinuous coefficients4.1 MIXED PROBLEMS WITH BOUNDARY CONDITIONS CONTAINING TIME DERIVATIVES; 4.2 MIXED PROBLEMS WITH BOUNDARY CONDITIONS CONTAINING NO TIME DERIVATIVES; 4.3 THE MIXED PROBLEM WITH SEPARABLE VARIABLES; CHAPTER 5. Residue method for solving multi-dimensional mixed problems; 5.1 PROCEDURE FOR SOLVING MULTI-DIMENSIONAL MIXED PROBLEMS; 5.2 RESIDUE METHOD OF SEPARATING VARIABLES
- 6.3 SOLUTION OF THE MIXED PROBLEM (6.1.1)-(6.1.3) WITH PARABOLICITY IN THE SENSE OF PETROVSKIY6.4 EXPANSION OF AN ARBITRARY FUNCTION IN A SERIES OF RESIDUES OF THE SPECTRAL PROBLEM: NECESSARY AND SUFFICIENT CONDITIONS FOR THE CORRECT FORMULATION OF PROBLEM (6.1.1)-(6.1.3); 6.5 SOLUTION OF MIXED PROBLEMS FOR EQUATIONS CONTAINING FIRST-ORDER TIME DERIVATIVES: NECESSARY AND SUFFICIENT CONDITIONS; CHAPTER 7. Solution of one-dimensional mixed problems for linear differential equations with discontinuous coefficients and time-dependent boundary conditions