Solvability of a third-order two-point boundary value problem

Applied Mathematics Letters

Volumn 18, Issue 9, 2005, Pages 1034-1040

  Feng, Yuqiang ^a   Liu, Sanyang ^a  

^a XIDIAN UNIVERSITY   (China)

Author keywords

Existence; Maximum principle; Third order ordinary differential equation; Upper and lower solutions method

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; NUMERICAL ANALYSIS; THEOREM PROVING; TOPOLOGY;

EXISTENCE; MAXIMUM PRINCIPLES; THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS; UPPER AND LOWER SOLUTIONS METHOD;

BOUNDARY VALUE PROBLEMS;

EID: 20444482884     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.04.016     Document Type: Article

References (9)

1. G. Klaasen Differential inequalities and existence theorems for second and third order boundary value problems J. Differential Equations 10 1971 529 537
2. L.K. Jackson Existence and uniqueness of solutions of boundary value problems for third order differential equations J. Differential Equations 13 1973 432 437
3. D.J. O'Regan Topological transversality: Application to third-order boundary value problem SIAM J. Math. Anal. 19 1987 630 641
4. W.C. Troy Solution of third order differential equations relevant to draining and coating flows SIAM J. Math. Anal. 24 1993 155 171
5. A. Cabada The method of lower and upper solutions for second, third, fourth and higher order boundary value problems J. Math. Anal. Appl. 185 1994 302 320
6. F. Bernis, and L.A. Peleter Two problems from draining flows involving third-order ordinary differential equation SIAM J. Math. Anal. 27 1996 515 527
7. M. Ruyun Multiplicity results for a third order boundary value problem at resonance Nonlinear Anal. 32 1998 493 500
8. Q. Yao, and Y. Feng The existence of solutions for a third order two-point boundary value problem Appl. Math. Lett. 15 2002 227 232
9. H. Amann Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces SIAM Rev. 18 1976 620 709