Differential and Difference Equations
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Differential and Difference Equations
A Comparison of Methods of Solution
Maximon, Leonard C.
Springer International Publishing AG
04/2018
162
Mole
Inglês
9783319806396
15 a 20 dias
2818
Descrição não disponível.
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Solution of linear differential equations;Solution of linear difference equations;Wronskian determinant;Green's function and the superposition principle;Proof of Cramer's rule;Method of variation of constants;Casoratian determinant;Difference equations;Ordinary differential equations;Classical hypergeometric functions;Confluent hypergeometric functions;Special functions of mathematical physics
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Solution of linear differential equations;Solution of linear difference equations;Wronskian determinant;Green's function and the superposition principle;Proof of Cramer's rule;Method of variation of constants;Casoratian determinant;Difference equations;Ordinary differential equations;Classical hypergeometric functions;Confluent hypergeometric functions;Special functions of mathematical physics
