Abstract
The paper investigates the Dirichlet problem with o-Laplacian of the form $$(\varphi (u'))' + f(t,u,u') = 0,u(0) = u(T) = 0.$$ An existence principle which can be used for problems where f(t, x, y) may have singularities at t = 0, t = T and also at x = 0, y = 0, is proved here. As an application of this principle, new conditions that guarantee the solvability of the above problem are found.
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