A general construction of linear differential equations with solutions of prescribed properties
β Scribed by F. Neuman
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 370 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
An existence and uniqueness result for bounded, positive solutions x(t) of the equation u + f (t, u, u ) = 0, t t 0 0, is established by means of the Banach contraction principle. For such a solution it is shown that (t) x (t) (t), t t 0 , where , are given nonnegative, continuous functions which ar
## Abstract Using a degreeβtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__βperiodic solutions of a Volterra equation, then there is a __T__βperiodic solution. The __a priori__ bound is established by means of a L