Singular perturbations for third-order nonlinear multi-point boundary value problem

Journal of Differential Equations

Volumn 218, Issue 1, 2005, Pages 69-90

  Du, Zengji ^a   Ge, Weigao ^a   Zhou, Mingru ^b  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b JIANGSU NORMAL UNIVERSITY   (China)

Author keywords

Asymptotic estimates; Existence and uniqueness; Leray Schauder degree; Nonlinear boundary value problem; Singular perturbations; Upper and lower solutions

Indexed keywords

EID: 27144507815     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2005.01.005     Document Type: Article

References (15)

1. Z. Du W. Ge X. Lin Existence of solutions for a class of third-order nonlinear boundary value problems J. Math. Anal. Appl. 294 2004 104-112
2. Z. Du X. Lin W. Ge On a third order multi-point boundary value problem at resonance J. Math. Anal. Appl. 302 2005 217-229
3. Z. Du X. Lin W. Ge Some higher order multi-point boundary value problem at resonance J. Comput. Appl. Math. 177 2005 55-65
4. Z. Du C. Xue W. Ge On eigenvalue intervals for discrete second order boundary value problem Acta Mathematicae Applicatae Sinica-English Series 21 1 2005 105-114
5. M. Feckon Singularly perturbed high order boundary value problems J. Differential Equations 111 1994 79-102
6. W. Feng J.R.L. Webb Solvability of three-point boundary value problems at resonance Nonlinear Anal. Theory Meth. Appl. 30 1997 3227-3238
7. M.D.R. Grossinho F.M. Minhós Existence result for some third order separated boundary value problems Nonlinear Anal. Theory Meth. Appl. 47 2001 2407-2418
8. C.P. Gupta A second order m -point boundary value problem at resonance Nonlinear Anal. Theory Meth. Appl. 24 1995 1483-1489
9. F.A. Howes The asymptotic solution of a class of third-order boundary value problem arising in the theory of thin film flow SIAM J. Appl. Math. 43 1983 993-1004
10. V.A. Il'in E.I. Moiseev Nonlocal boundary value problems of the first kind for a Strum-Liouville operator in its differential and finite difference aspects Differential Equations 23 7 1987 803-810
11. V.A. Il'in E.I. Moiseev Nonlocal boundary value problems of the second kind for a Strum-Liouville operator in its differential and finite difference aspects Differential Equations 23 8 1987 979-987
12. R.E. O'Malley Singular Perturbation Methods for Ordinary Differential Equations 1991 Springer New York
13. S. Valarmathi, N. Ramanujam, An asymptotic numerical method for singular perturbed third-order differential equations of convection-diffusion type, Comput. Math. Appl. 44 (2002) 693-710, 116.
14. G. Wang Singular perturbations for third-order nonlinear boundary value problem Math. Appl. 11 1998 85-89
15. W. Zhao Singular perturbations of boundary value problems for a class of third-order nonlinear ordinary differential equations J. Differential Equations 88 1990 265-278