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<p/> <p>In this paper, we are concerned with the following nonlinear third-order <inline-formula> <graphic file="1687-1812-2010-126192-i2.gif"/></inline-formula>-point boundary value problem: <inline-formula> <graphic file="1687-1812-2010-126192-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2010-126192-i7.gif"/></inline-formula>. Some existence criteria of solution and positive solution are established by using the Schauder fixed point theorem. An example is also included to illustrate the importance of the results obtained.</p>