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Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order

Existence and precise asymptotics of positive solutions for a class of nonlinear differential... Abstract. Our purpose here is to show that an application of the theory of regular variation (in the sense of Karamata) gives the possibility of determining the existence and precise asymptotic behavior of positive solutions of the third-order nonlinear differential equation , where and are positive constants satisfying , is a continuous regularly varying function and , . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1515/gmj-2013-0027
Publisher site
See Article on Publisher Site

Abstract

Abstract. Our purpose here is to show that an application of the theory of regular variation (in the sense of Karamata) gives the possibility of determining the existence and precise asymptotic behavior of positive solutions of the third-order nonlinear differential equation , where and are positive constants satisfying , is a continuous regularly varying function and , .

Journal

Georgian Mathematical Journalde Gruyter

Published: Sep 1, 2013

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