Existence of solutions of third-order functional problems with nonlinear boundary conditions

• Autores: Alberto Cabada Fernández , S. Heikkila
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 1, 2004, págs. 33-44
• Idioma: inglés
• DOI: 10.1017/s1446181100013651
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• Resumen

  • In this paper some existence results for third-order differential equations with nonlinear boundary value conditions are derived. Functional dependence in the data is allowed. In the proofs we use the method of upper and lower solutions, Schauder's fixed point theorem and results from Cabada and Heikkilä on third-order differential equations with linear and nonfunctional initial-boundary value conditions.