A Textbook on Ordinary Differential Equations

A Textbook on Ordinary Differential Equations

Paperback(2nd ed. 2015)

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Product Details

ISBN-13: 9783319164076
Publisher: Springer International Publishing
Publication date: 05/30/2015
Series: UNITEXT , #88
Edition description: 2nd ed. 2015
Pages: 331
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Prof. Shair Ahmad is a professor of Mathematics at the University of Texas, San Antonio.

Prof. Antonio Ambrosetti is full professor of Mathematical Analysis at SISSA, Trieste, Italy.

Table of Contents

1 First order linear differential equations.- 2 Theory of first order differential equations.- 3 First order nonlinear differential equations.- 4 Existence and uniqueness for systems and higher order equations.- 5 Second order equations.- 6 Higher order linear equations.- 7 Systems of first order equations.- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations.- 9 Sturm Liouville eigenvalue theory.- 10 Solutions by infinite series and Bessel functions.- 11 Laplace transform.- 12 Stability theory.- 13 Boundary value problems.- 14 Appendix A. Numerical methods.- 15 Answers to selected exercises.

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