Existence and uniqueness for nonlinear third-order two-point boundary value problems

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 14, Issue 3, 2007, Pages 321-332

  Libo, Wang ^a   Minghe, Pei ^a  

^a BEIHUA UNIVERSITY   (China)

Author keywords

Leray Schauder degree theory; One sided Nagumo condition; Upper and lower solutions method

Indexed keywords

EID: 34248580641     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. M.D.R. Grossinho, F.M. Minhós, A. I. Santos. Solvability of some third-order boundary value problems with asymmetric unbounded nonlinearities. Nonlinear Anal, 62 (2005), 1235-1250.
2. M.D.R. Grossinho, F.M. Minhós. Existence results for some third order seperated boundary value problems. Nonlinear Anal, 47 (2001), 2407-2418.
3. Z. Du, W. Ge and X. Lin. Existence of solutions for a class of third- order nonlinear boundary problems, J Math Anal Appl, 294 (2004), 104-112.
4. R.P. Agarwal, Boundary Value Problems for Higher Order Differential Equations. Singapore: World Scientific, 1986.
5. A. Cabada, M.R. Grossinho, F. M. Minhós, On the solvability of some discontinuous third-order nonlinear differential equations with two point boundary conditions, J Math Anal Appl, 285 (2003), 174-190.
6. F.H. Wong, An application of schauder's fixed point theorem with respect to higher order BVPs, Proceedings of the American Mathematical Society, 126 (1998), 2389-2397.