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Existence of solutions for integral boundary value problems of second-order ordinary differential equations

Hongyu Li1* and Fei Sun2

Author Affiliations

1 Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao, Shandong, 266590, P.R. China

2 Jiamusi Hongqi Middle School, Jiamusi, Heilongjiang, 154011, P.R. China

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Boundary Value Problems 2012, 2012:147  doi:10.1186/1687-2770-2012-147

Published: 17 December 2012


In this paper, we investigate the existence of solutions for some second-order integral boundary value problems, by applying new fixed point theorems in Banach spaces with the lattice structure derived by Sun and Liu.

MSC: 34B15, 34B18, 47H11.

lattice; fixed point; integral boundary value problem; sign-changing solution