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Existence of nonnegative solutions for second order m-point boundary value problems at resonance
Authors:Feng Wang  Yujun CuiFang Zhang
Institution:a School of Mathematics and Physics, Jiangsu Polytechnic University, Changzhou 213164, PR China
b Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266510, PR China
Abstract:In this paper, the minimal and maximal nonnegative solutions for second order m-point boundary value problems at resonance are investigated by using a new fixed point theorem of increasing operators. And the monotone iterative sequences which converge to solutions are given. The method is different essentially from the previous papers used by coincidence degree continuation theorem of Mawhin.
Keywords:Resonance  m-Point boundary value problem  Nonnegative solutions
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