# Article

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Keywords:
$\phi$-Laplacian; impulses; lower and upper functions; periodic boundary value problem
Summary:
The paper deals with the impulsive boundary value problem $\frac{d}{dt}[\phi (y^{\prime }(t))] = f(t, y(t), y^{\prime }(t)), \quad y(0) = y(T),\quad y^{\prime }(0) = y^{\prime }(T), y(t_{i}+) = J_{i}(y(t_{i})), \quad y^{\prime }(t_{i}+) = M_{i}(y^{\prime }(t_{i})),\quad i = 1, \ldots m.$ 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.
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