Differential equations and numerical mathematics : selected papers presented to a national conference held in Novosibirsk, September 1978 / edited by G.I. Marchuk.

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Bibliographic Details
Other Authors: Marchuk, G. I.
Format: eBook
Published: Oxford ; New York : Pergamon Press, ©1982.
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Table of Contents:
  • Front Cover; Differential Equations and Numerical Mathematics; Copyright Page; Preface; Table of Contents; SECTION A: Cubature Formulae and Functional Analysis; CHAPTER 1. On an analogue of Plancherel's theorem and on the qualitative character of the spectrum of a self-adjoint operator; References; References; CHAPTER 2. Self-adjoint operators in spaces of functions of an infinite number of variables; CHAPTER 3. Multidimensional non-linear spectral boundary value problems and soliton superposition of their asymptotic solutions; 1. A non-linear spectral boundary value problem of Steklov type.
  • 2. Asymptotic complex-valued solutions, concentrated in the neighbourhood of closed geodesies3. ""Non-linear superposition"" of asymptotic solutions, multidimensional Dirichlet series and real-valued asymptotic solutions; 4. Example; 5. Problem of reflection from a boundary and finite-gap almost periodic solutions; References; CHAPTER 4. Réduction de la dimension dans un probléme de contrôle optimal; Introduction; 1. Position du probléme; 2. Enonce du résultat; 3. Bornes supérieures; 4. Dualité; 5. Bornes inférieures; Références.
  • CHAPTER 5. Embedding theorems for a class of weight spaces and applicationsReferences; CHAPTER 6. Theory of multipliers in spaces of differentiable functions and applications; 1. Notation; 2. The description and properties of multiplier spaces; 3. Traces and extensions of multipliers on Wl p; 4. The space M(Mmp₂!Wl q); 5. Diffeomorphisms, manifolds and differential operators, connected with MWip; 6. Continuity of the convolution transformation in L2 with a weight; References; SECTION B: Differential Equations; CHAPTER 7. On the roots of Euler polynomials; 1. Introduction.
  • 2. The second problem we should like to consider is the investigation of the decay and rise of vorticity in a moving continuous mediumReferences; CHAPTER 9. On the solvability of the Sturm-Liouville inverse problem on the entire line; 1. Solution of the inverse problem on the entire line by a spectral matrix function; 2. Application to the Korteveg-de Vries equation; References; CHAPTER 10. Asymptotic properties of solutions of partial differential equations; References; CHAPTER 11. Boundary value problems for weakly elliptic systems of differential equations; References.