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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Iterations Differential Operat
Iterations Differential Operat

Iterations Differential Operat


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About the Book

This book examines the connections between solutions of differential equations and the iterations of the differential operator which occur in an equation. Topics covered include the action of linear and nonlinear differential operators, the related theories of functions and operators, and the connections between the theory of functions and partial differential equations. The author focuses on new methods of constructing solutions for partial differential equations and looks at research into the smoothness of these solutions. Formulae, theorems and lemmas are numbered independently for quick reference, and the detailed listing of the subjects covered in each chapter enables the reader to find a particular area of interest without difficulty. Specialists in partial differential equations and in the theory of functions and functional analysis will find this study useful.

Table of Contents:
Iterations of elliptic operators with analytic coefficients; the polynomial solvability of self-adjoint differential equations with infinitely smooth coefficients; approximation of analytic functions on a straight line with the weight ch(Rx) using interpolation polynomials; construction of functions of self-adjoint operators with analytic coefficients; estimates of the smoothness of functions of self-adjoint differential operators; construction of functions of nonself-adjoint operators; iterations of nonlinear differential operators.


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Product Details
  • ISBN-13: 9782881247071
  • Publisher: Gordon and Breach
  • Publisher Imprint: Gordon & Breach Science Publishers Ltd
  • Language: English
  • Weight: 454 gr
  • ISBN-10: 2881247075
  • Publisher Date: 01 Feb 1989
  • Binding: Hardback
  • Returnable: N


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