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Existence of solutions to initial value problems for first-order differential equations

✍ Scribed by P Kelevedjiev; J Seman

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 222 KB
Volume: 57
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.02.017

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where C r is the Banach space of continuous functions from [&r, 0] into R n , f and g are continuous functions from [0, T ]\_C r into R n , r is a fixed positive scalar, and [0, T ] is the interval of existence of a solution. To do this, we will use the same approach as in . In section 4, we will pr