TY - JOUR
AU - KHAN, RAHMAT ALI
AU - ASIF, NASEER AHMAD
PY - 2009
TI - POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS
JO - Journal of Nonlinear Sciences and Applications
SP - 126-135
VL - 2
IS - 2
AB - Existence of positive solution for a class of singular boundary value
problems of the type
\[−x''(t) = f(t, x(t), x'(t)),\quad t \in (0, 1)\]
\[x(0) = 0, x(1) = 0,\]
is established. The nonlinearity \(f \in C((0, 1) \times (0,\infty) \times (−\infty,\infty), (−\infty,\infty))\)
is allowed to change sign and is singular at \(t = 0, t = 1\) and/or \(x = 0\). An
example is included to show the applicability of our result.
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.002.02.07
DO - 10.22436/jnsa.002.02.07
ID - KHAN2009
ER -