American Institute of Mathematical Sciences

Advanced
2003, 2003(Special): 273-280. doi: 10.3934/proc.2003.2003.273

Existence of solutions to second order problems with nonlinear boundary conditions

Daniel Franco 1, and  Donal O'Regan 2,

1. 

Departamento de Matemática Aplicada, ETSI Industriales, UNED, Apartado de Correos 60149, Madrid, 28080, Spain
2. 

Department of Mathematics, National University of Ireland, Galway, Ireland

Received  September 2002 Published  April 2003

We prove several new existence results for second–order differential equations with nonlinear boundary value conditions including periodic, antiperiodic and Dirichlet data among others. New definitions of upper and lower solutions for our problems are presented and existence will be established via fixed point methods.
Keywords: upper and lower solutions., Nonlinear ordinary differential equation, nonlinear boundary condition.
Mathematics Subject Classification: Primary: 34B15, 34A3.
Citation: Daniel Franco, Donal O'Regan. Existence of solutions to second order problems with nonlinear boundary conditions. Conference Publications, 2003, 2003 (Special) : 273-280. doi: 10.3934/proc.2003.2003.273
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