Abstract
Before discussing methods of solving more general classes of differential equations, it is convenient to present a theoretical overview of first order equations and their solutions, which will set a rigorous layout for the rest of the book.
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Notes
- 1.
1 Augustin-Louis Cauchy (1789–1857).
- 2.
2 Charles Emile Picard (1856–1941).
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3 Giuseppe Peano (1858–1932).
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4 Guido Ascoli (1887–1957).
- 5.
5 A statement of the Ascoli Theorem is reported in Chapter 13.
- 6.
6 from Rudolph Lipschitz (1832-1903).
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Ahmad, S., Ambrosetti, A. (2014). Theory of first order differential equations. In: A Textbook on Ordinary Differential Equations. UNITEXT(), vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-02129-4_2
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DOI: https://doi.org/10.1007/978-3-319-02129-4_2
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-02128-7
Online ISBN: 978-3-319-02129-4
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