Existence Theory for Nonlinear Ordinary Differential Equations
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to Y'. = I(t,y) (1. 1 ) { yeO) = r n where I: I X R n ---+ R and I = [0, b]. We shall seek solutions that are de fined either locally or globally on I, according to the assumptions imposed on I. Notice that (1. 1) is a system of first order equations because I takes its values in Rn. In section 3. 2 we will first establish some basic existe…
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Produktdetails
- ISBN: 978-94-017-1517-1
- EAN: 9789401715171
- Produktnummer: 37159972
- Verlag: Springer Netherlands
- Sprache: Englisch
- Erscheinungsjahr: 2013
- Seitenangabe: 200 S.
- Plattform: PDF
- Auflage: 1997
- Reihenbandnummer: 398
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