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On the asymptotic integration of nonlinear differential equations |
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| Authors: | Ravi P. Agarwal Smail Djebali Toufik Moussaoui Octavian G. Mustafa |
| Affiliation: | 1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA;2. Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba, Algiers, Algeria;3. Department of Mathematics, University of Craiova, Al. I. Cuza 13, Craiova, Romania |
| Abstract: | The aim of the present paper is twofold. Firstly, the paper surveys the literature concerning a specific topic in asymptotic integration theory of ordinary differential equations: the class of second order equations with Bihari-like nonlinearity. Secondly, some general existence results are established with regard to a condition that has been found recently to be of significant use in the theory of elliptic partial differential equations. |
| Keywords: | Nonlinear differential equations Fixed point theory Asymptotic integration |
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