caa a22 4500 445831081 CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-011-0058-x doi (NATIONALLICENCE)springer-10.1007/s10255-011-0058-x Sun Yong-ping College of Electron and Information, Zhejiang University of Media and Communications, 310018, Hangzhou, China aut Three symmetric positive solutions for second-order nonlocal boundary value problems [Elektronische Daten] [Yong-ping Sun] Using the Leggett-Williams fixed point theorem, we will obtain at least three symmetric positive solutions to the second-order nonlocal boundary value problem of the form $$ \begin{gathered} u''\left( t \right) + g\left( t \right)f\left( {t,u\left( t \right)} \right) = 0, 0 < t < 1, \hfill \\ u\left( 0 \right) = u\left( 1 \right) = \int_0^1 {m\left( s \right)u} \left( s \right)ds, \hfill \\ \end{gathered} $$ where m ∈ L 1[0, 1], g: (0, 1) → [0,∞) is continuous, symmetric on (0, 1) and maybe singular at t = 0 and t = 1, f: [0, 1] × [0,∞) → [0,∞) is continuous and f(·, x) is symmetric on [0, 1] for all x ∈ [0,∞). Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 symmetric positive solution nationallicence nonlocal boundary value problem nationallicence fixed point theorem nationallicence Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 233-242 0168-9673 27:2<233 2011 27 10255 https://doi.org/10.1007/s10255-011-0058-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0058-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sun Yong-ping College of Electron and Information, Zhejiang University of Media and Communications, 310018, Hangzhou, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 233-242 0168-9673 27:2<233 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer