Solvability of singular second order m-point boundary value problems |
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| Authors: | Ruyun Ma Donal O'Regan |
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| Affiliation: | a Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China
b Department of Mathematics, National University of Ireland, Galway, Ireland |
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| Abstract: | Let  be a function satisfying Carathéodory's conditions and (1−t)e(t)∈L1(0,1). Let ξi∈(0,1), ai∈R, i=1,…,m−2, 0<ξ1<ξ2ξm−2<1 be given. This paper is concerned with the problem of existence of a C1[0,1) solution for the m-point boundary value problem |
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| Keywords: | Singular boundary value problem Existence Leray-Schauder continuation theorem Green's function |
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