Existence, multiplicity and non-existence of positive solutions for two-point boundary-value problems with strong singularity
2010 ◽
Vol 140
(6)
◽
pp. 1187-1196
Keyword(s):
We study the existence, multiplicity and non-existence of positive solutions for the singular two-point boundary-value problemswhere $\varphi_{p}(s)=|s|^{p-2}s$, $p>1$, λ is a non-negative real parameter and f ∈ C((0, 1) × [0,∞), (0,∞)). Here, f(t, u) may be singular at t = 0 and/or 1. To obtain the main results we use the global continuation theorem and fixed-point index theory.
2003 ◽
Vol 16
(6)
◽
pp. 863-869
◽
2001 ◽
Vol 47
(7)
◽
pp. 4319-4332
◽
Keyword(s):
2014 ◽
Vol 687-691
◽
pp. 1232-1236
2020 ◽
Vol 24
(1)
◽
pp. 109-129
2012 ◽
Vol 2012
◽
pp. 1-18