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<p/> <p>This paper is concerned with the following third-order boundary value problem with integral boundary conditions <inline-formula> <graphic file="1687-2770-2010-874959-i1.gif"/></inline-formula><inline-formula> <graphic file="1687-2770-2010-874959-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2010-874959-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2010-874959-i4.gif"/></inline-formula>. By using the Guo-Krasnoselskii fixed-point theorem, some sufficient conditions are obtained for the existence and nonexistence of monotone positive solution to the above problem.</p>