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Convex dependence of solutions of differential equations in a banach space relative to initial data

✍ Scribed by V. Lakshmikantham; N. Shahzad; W. Walter


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
162 KB
Volume
27
Category
Article
ISSN
0362-546X

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✍ Gerd Herzog; Roland Lemmert πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 168 KB

We generalize a result of Lakshmikantham, Shahzad and Walter on convex dependence of the solutions of IVPs with respect to the initial value to general ordered Banach spaces.

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ln this work, we present a numerical method for approximating the solution of a linear differential problem. We formulate a general problem in a Banach space making use of a Schauder basis and the Tau method to approximate the load function and the solution of the differential problem. Finally, we o