Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals
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2008-01-01Author
Yan, Baoqiang
O'Regan, Donal
Agarwal, Ravi P.
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Yan, Baoqiang; O'Regan, Donal; Agarwal, Ravi P. (2008). Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals. Funkcialaj Ekvacioj 51 (1), 81-106
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Abstract
The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') = 0, 0 < t < +infinity, x(0) = 0, lim(t ->+infinity) p(t)x'(t) = 0, using the fixed point index, where f may be singular at px' = 0.