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Positive solutions of nonlinear differential equations with prescribed decay of the first derivative

โœ Scribed by Octavian G. Mustafa

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
161 KB
Volume
60
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 are integrable over [t 0 , +โˆž). The result complements others known in the literature.

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