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- W4223965160 abstract "We briefly discuss basic topics of ordinary differential equations and provide examples that illustrate the need for a comprehensive and systematic theory of differential equations. In addition, we introduce metrics and Banach spaces, including Cauchy sequences, contraction, compactness, contraction mapping principle, and Banach spaces. Several applications of differential equations are provided, including leaky bucket, escape time velocity, Newton's law, and RC circuits. We develop the variation of parameters formula and present several applications on certain epidemics. We end the chapter with a discussion of special forms of differential equations that can be solved by specific substitutions." @default.
- W4223965160 created "2022-04-19" @default.
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- W4223965160 date "2023-01-01" @default.
- W4223965160 modified "2023-09-26" @default.
- W4223965160 title "Preliminaries and Banach spaces" @default.
- W4223965160 doi "https://doi.org/10.1016/b978-0-32-399280-0.00007-3" @default.
- W4223965160 hasPublicationYear "2023" @default.
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