p. 69 - 103 Solvability of a nonlinear boundary value problem S. Peres Received: March 27, 2012; Revised: October 29, 2012; Accepted: September 30, 2012 Abstract. We study the existence and multiplicity of positive solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions where both of the nonlinearities are of power type. Keywords: nonlinear second order ordinary differential equation; existence and multiplicity of solutions; nonlinear boundary conditions. AMS Subject classification: Primary: 34B18 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |