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On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
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Orientador(es)
Resumo(s)
We prove the existence of extremal solutions for the third order discontinuous functional nonlinear problema … by using a fixed point theorem after having established some existence results for some auxiliary second order nonlinear problems. We observe that, together with the discontinuities allowed on the spacial variable u, with adequate modifications of technical type, analogous results can be obtained when the equation has a second member not necessarily continuous in u.
Descrição
Palavras-chave
Lower and Upper Solutions Third-order Nonlinear Boundary Value Problems Ø-Laplacian Problem
Contexto Educativo
Citação
Cabada, Alberto, Maria do Rosário Grossinho and Feliz Minhós .(2003). “On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions”. Journal of Mathematical Analysis and Applications, Vol. 285, No.1 : pp. 174-190.
Editora
Elsevier