Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Nodal solutions of second-order two-point boundary value problems | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Nodal solutions of second-order two-point boundary value problems Boundary Value Problems 2012 2012 13 doi 1687-2770-2012-13 Ruyun Ma mary@ Bianxia Yang yanglina7765309@ Guowei Dai daiguowei@ ISSN 1687-2770 Article type Research Submission date 16 August 2011 Acceptance date 10 February 2012 Publication date 10 February 2012 Article URL http content 2012 1 13 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http authors instructions For information about other SpringerOpen publications go to http 2012 Ma et al. licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Nodal solutions of second-order two-point boundary value problems Ruyun Ma Bianxia Yang and Guowei Dai Department of Mathematics Northwest Normal University Lanzhou 730070 P. R. China mary@ yanglina7765309@ Corresponding author daiguowei@ Abstract We shall study the existence and multiplicity of nodal solutions of the nonlinear second-order two-point boundary value problems u00 f t u 0 t 2 0 1 u 0 u 1 0. The proof of our main results is based upon bifurcation techniques. Mathematics Subject Classifications 34B07 34C10 34C23. Keywords nodal solutions bifurcation. 1 Introduction In 1 Ma and Thompson were considered with determining interval of p in .