Operational calculus

Operational calculus

by Mikusiński, Jan

Type Book
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Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included.Comprised of four sections, this volume begins with a discussion on the general theory of linear…

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Title Statements

  • Full title :Operational calculus. / Jan Mikusiński and Thomas K. Boehme.

Summary

Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included.Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-ho.

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Edition Statements

  • Publication Date:©1987
  • Edition:Second edition

Publication Statements

The Physical Object

  • Description:1 online resource (264 pages).

Edition Identifiers

  • ISBN:9781483161457, 1483161455
  • oclc:ocn903966152
  • LC Classification:QA432
  • Dewey Decimal:515.7/2

Table of Contents

Front Cover; Operational Calculus; Copyright Page; Table of Contents; FOREWORD TO THE FIRST ENGLISH EDITION; FOREWORD TO THE SECOND ENGLISH EDITION; SUPPLEMENTS TO VOLUME I; (A) Supplement to Part I, Chapter VI; (B) Supplement to Part III, Chapter VIII; PART IV: AN OUTLINE OF THE GENERAL THEORY OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS; CHAPTER I. Homogeneous equations; 1. Introductory remarks; 2. Characteristic equations; 3. On exponential functions; 4. Logarithms; 5. Multiple roots of the characteristic equation; 6. The general solution

7. Theorem on uniqueness of solution 8. The logarithmic equation; 9. Linear differential expressions; 10. Operations on linear differential expressions; 11. Characteristic polynomials of linear differential expressions; 12. Pure equations; 13. Mixed equations; 14. Adapting the solution to given initial, boundary and other conditions; CHAPTER II. Non-homogeneous equations; 15. The general solution of a non-homogeneous equation; 16. The case where the right side is a polynomial; 17. The case where the right side is an exponential function

18. The case where the right side is a product of a polynomial and an exponential function …

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Subjects

Calcul symbolique Calculus, Operational

Writers

Mikusiński, Jan Boehme, Thomas K.

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