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《Mathematics in Practice and Theory》 2018-18
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Existence of sign-changing Solutions for a Class of Second-order Nonlinear m-Point Boundary Value Problem

JI Hong-wei;SUN Jing-xian;CUI Yu-jun;Department of Mathematics and Physics, Nantong Teachers College;Department of Mathematics and Statistics, Xuzhou Normal University;College of Information Science and Engineering, Shandong University of Science and Technology;  
Consider the existence of sign-changing solutions for nonlinear m-point boundary value problem{u''(x)+f(u(x))=0,0≤x≤1,u(0)=0,u(1)-0,u(1)=m-2∑i-1 a_iu(ξ_i)where ξ_i ∈(0, 1), 0 ξ_1ξ_2…ξ_(m-2) 1,a_i ∈[0,∞), 0∑_(i=1)~(m-2)a_i1,f∈C(R, R).By using cone theory and fixed point index theory, the existence of sign-changing solutions for nonlinear m-point boundary value problem is obtained.
【Fund】: 江苏省高校青蓝工程基金(2018)
【CateGory Index】: O175.8
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