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/lp/de-gruyter/positive-solutions-to-second-order-singular-differential-equations-fyrn2IIau3
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- Publisher
- de Gruyter
- Copyright
- © 1999 Plenum Publishing Corporation
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.1999.347
- Publisher site
- See Article on Publisher Site
Abstract
We consider a class of second order quasilinear differential equations with singular ninlinearities. Our main purpose is to investigate in detail the asymptotic behavior of their solutions defined on a positive half-line. The set of all possible positive solutions is classified into five types according to their asymptotic behavior near infinity, and sharp conditions are established for the existence of solutions belonging to each of the classified types.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Aug 1, 1999
Keywords: Quasilinear differential equation; singular nonlinearity; positive solution; asymptotic behavior