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On first-order ordinary differential equations with nonnegative right-hand sides

✍ Scribed by J.Angel Cid; Rodrigo López Pouso

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
191 KB
Volume
52
Category
Article
ISSN
0362-546X

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✦ Synopsis

Existence of extremal solutions for scalar initial value problems is investigated. We shall concentrate upon nonlinearities having constant sign, which lead to new existence results.

📜 SIMILAR VOLUMES

A new approximation scheme for first-ord
A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides
✍ Rodrigo López Pouso 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 135 KB

We prove an existence result for ÿrst-order ordinary di erential equations subject to initial conditions. Assuming that the nonlinear part of the equation is nonnegative, among some other technical hypotheses, we construct a new approximation scheme by means of which we obtain the existence of solut