caa a22 4500 463183916 CHVBK 20180406164846.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10492-007-0006-5 doi (NATIONALLICENCE)springer-10.1007/s10492-007-0006-5 Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach [Elektronische Daten] [Haishen Lü, Donal O'Regan, Ravi Agarwal] This paper studies the existence of solutions to the singular boundary value problem $$\left\{ \begin{gathered} - u'' = g(t,u) + (h,u),t \in (0,1), \hfill \\ u(0) = 0 = u(1), \hfill \\ \end{gathered} \right.$$ , where g: (0, 1) × (0, ∞) → ℝ and h: (0, 1) × [0, ∞) → [0, ∞) are continuous. So our nonlinearity may be singular at t = 0, 1 and u = 0 and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions. Mathematical Institute, Academy of Sciences of Czech Republic, 2007 singular boundary value problem nationallicence positive solution nationallicence upper and lower solution nationallicence Lü Haishen Department of Applied Mathematics, Hohai University, 210098, Nanjing, P. R. China aut O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland aut Agarwal Ravi Department of Mathematical Sciences, Florida Institute of Technology, 32901-6975, Melbourne, FL, USA aut Applications of Mathematics Kluwer Academic Publishers-Consultants Bureau 52/2(2007-04-01), 117-135 0862-7940 52:2<117 2007 52 10492 https://doi.org/10.1007/s10492-007-0006-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0006-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lü Haishen Department of Applied Mathematics, Hohai University, 210098, Nanjing, P. R. China aut NATIONALLICENCE 700 1- O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland aut NATIONALLICENCE 700 1- Agarwal Ravi Department of Mathematical Sciences, Florida Institute of Technology, 32901-6975, Melbourne, FL, USA aut NATIONALLICENCE 773 0- Applications of Mathematics Kluwer Academic Publishers-Consultants Bureau 52/2(2007-04-01), 117-135 0862-7940 52:2<117 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer