Existence theorems for a second order m-point boundary value problem at resonance
AuthorGupta, Chaitan P.
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Let f:[0,1]×R2?R be function satisfying Caratheodory's conditions and e(t)?L1[0,1]. Let ??(0,1), ?i?(0,1), ai?0, i=1,2,…,m?2, with ?i=1m?2ai=1, 0<?1<?2<…<?m?2<1 be given. This paper is concerned with the problem of existence of a solution for the following boundary value problems x?(t)=f(t,x(t),x?(t))