Abstract:
In this paper, we consider the following second order quasi-linear differential
equation:
( p(x0))0 + f(t, x) = 0, 0 < t < 1,
where p(s) = |s|p−2s, p 2, subject to certain boundary conditions. The criteria
of solvability of these boundary value problems are given by employing the recent
generalization of coincidence degree method. We also give an example to illustrate our
conclusions.