Differential and Difference Equations A Comparison of Methods of Solution /

This book, intended for researchers and graduate students in physics, applied mathematics and engineering, presents a detailed comparison of the important methods of solution for linear differential and difference equations - variation of constants, reduction of order, Laplace transforms and generat...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Maximon, Leonard C. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Preface
  • Introduction
  • 1 Operators
  • 2 Solution of homogeneous and inhomogeneous linear equations
  • 3 First order homogeneous and inhomogeneous linear equations
  • 4 Second-order homogeneous and inhomogeneous equations
  • 5 Self-adjoint linear equations
  • 6 Green’s function
  • 7 Generating function, z-transforms, Laplace transforms and the solution of linear differential and difference equations
  • 8 Dictionary of difference equations with polynomial coefficients
  • Appendix A: Difference operator
  • Appendix B: Notation
  • Appendix C: Wronskian Determinant
  • Appendix D: Casoratian Determinant
  • Appendix E: Cramer’s Rule
  • Appendix F: Green’s function and the Superposition principle
  • Appendix G: Inverse Laplace transforms and Inverse Generating functions
  • Appendix H: Hypergeometric function
  • Appendix I: Confluent Hypergeometric function
  • Appendix J. Solutions of the second kind
  • Bibliography.