ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXXII, 1 (2013)
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  




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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

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