Differential and Difference Equations A Comparison of Methods of Solution /

• 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: Physics.; Difference equations.; Functional equations.; Differential equations.; Mathematical physics.; Applied mathematics.; Engineering mathematics.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.; Difference and Functional Equations.; Mathematical Applications in the Physical Sciences.; Ordinary Differential Equations.

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...

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.