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The paper deals with the impulsive boundary value problem
The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions.
We provide sufficient conditions for solvability of a singular Dirichlet boundary value problem with
. ((u)) = f(t, u, u), u(0) = A, u(T) = B, .
is an increasing homeomorphism, , , satisfies the Carathéodory conditions on each set with and is not integrable on for some fixed values of its phase variables. We prove the existence of a solution which has continuous first derivative on .
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