EXISTENCE RESULTS FOR SUPERLINEAR SEMIPOSITONE BVPS

Authors
ANURADHA V HAI DD SHIVAJI R
Citation
V. Anuradha et al., EXISTENCE RESULTS FOR SUPERLINEAR SEMIPOSITONE BVPS, Proceedings of the American Mathematical Society, 124(3), 1996, pp. 757-763
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
3
Year of publication
1996
Pages
757 - 763
Database
ISI
SICI code
0002-9939(1996)124:3<757:ERFSSB>2.0.ZU;2-Q
Abstract
We consider the existence of positive solutions to the BVP (p(t)u')' lambda f(t, u) = 0, r < t < R, au(r) - bp(r)u'(r) = 0, cu(R) + dp(R)u '(R) = 0, where lambda > 0. Our results extend some of the existing li terature on superlinear semipositone problems and singular BVPs. Our p roofs are quite simple and are based on fixed point theorems in a cone .