Boundary value problems involving upper and lower solutions in reverse order

• Autores: Weibing Wang, Xuxin Yang, Jianhua Shen
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 1-7
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.10.040
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• Resumen

  • In this paper, we discuss the existence of extreme solutions of the boundary value problem for a class of first-order functional equations with a nonlinear boundary condition. In the presence of a lower solution a and an upper solution ß with ß=a, we establish existence results of extreme solutions by using the method of upper and lower solutions and a monotone iterative technique.