Ordinary Differential Equations Analytical Methods and Applications /
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable cal...
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| Authors / Creators: | , , , |
|---|---|
| Other Authors / Creators: | Nepomnyashchy, Alexander. author. Belozerova, Tatyana. author. Khenner, Mikhail. author. |
| Other Corporate Authors / Creators: | SpringerLink (Online service) |
| Format: | Electronic eBook |
| Language: | English |
| Edition: | 1st ed. 2023. |
| Imprint: | Cham : Springer International Publishing : Imprint: Springer, 2023. |
| Subjects: | |
| Online Access: | Available in Springer Mathematics and Statistics eBooks 2023 English/International. |
Table of Contents:
- Introduction
- First-order Differential Equations
- Differential Equations of the Order n>1
- Systems of Differential Equations
- Qualitative Analysis and Atability of ODE Solutions
- Power series solutions of ODEs
- Laplace Transform
- Fourier series
- Boundary Value Problems for second-order ODEs
- Special Functions
- Integral Equations
- Calculus of Variations
- Partial Differential Equations
- Appendix 1: Picard's Existence and Uniqueness Theorem
- Appendix 2: A Primer on the Matrix Eigenvalue Problems and the Solutions of the Selected Examples
- Appendix 3: How to Use Software Associated with the Book