Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations

Computers and Mathematics with Applications

Volumn 49, Issue 1, 2005, Pages 1-11

  Lin, Xiaojie ^a   Du, Zengji ^b   Ge, Weigao ^b  

^a JIANGSU NORMAL UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Coincidence degree theory; Multipoint boundary value problem; Resonance

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; RESONANCE; THEOREM PROVING;

COICIDENCE DEGREE THEORY; COINCIDENCE DEGREE THEORY; LINEAR OPERATORS; MULTIPOINT BOUNDARY VALUE PROBLEM;

BOUNDARY VALUE PROBLEMS;

EID: 17944362653     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.01.001     Document Type: Article

References (15)

1. W. Feng, and J.R.L. Webb Solvability of m-point boundary value problems with nonlinear growth J. Math. Anal. Appl. 212 1997 467 480
2. W. Feng, and J.R.L. Webb Solvability of three-point boundary value problems at resonance Nonlinear Anal. Theory, Meth. Appl. 30 1997 3227 3238
3. B. Prezeradzki, and R. Stańczy Solvability of a multi-point boundary value problem at resonance J. Math. Anal. Appl. 264 2001 253 261
4. B. Liu Solvability of multi-point boundary value problem at resonance (II) Appl. Math. Comput. 136 2003 353 377
5. C.P. Gupta Solvability of multi-point boundary value problems at resonance Results Math. 28 1995 270 276
6. C.P. Gupta A second order m-point boundary value problem at resonance Nonlinear Anal. Theory Meth. Appl. 24 1995 1483 1489
7. C.P. Gupta Existence theorems for a second order m-point boundary value problem at resonance Int. J. Math. Sci. 18 1995 705 710
8. C.P. Gupta On a third-order boundary value problem at resonance Differential Intergrel Equations 2 1989 1 12
9. R.Y. Ma Multiplicity results for a third order value problem at resonance Nonlinear Anal. Theory Meth. Appl. 32 1998 493 499
10. R.K. Nagle, and K.L. Pothoven On a third-order nonlinear boundary value problems at resonance J. Math. Anal. Appl. 195 1995 148 159
11. A. Cabada, and E. Liz Boundary value problems for higher order ordinary differential equations with impulses Nonlinear Anal. Meth. Theory Appl. 32 1998 775 786
12. F.H. Wong An application of Schauder's fixed point theorem with respect to higher order BVPs Proceedings of the American Mathematical Society vol. 126 1998 2389 2397
13. J. Mawhin Topological degree methods in nonlinear boundary value problems NSFCBMS Regional Conference series in Mathematics 1979 American Mathematical Society
14. J. Mawhin Topological degree and boundary value problems for nonlinear differential equations P.M. Fitzpertrick M. Martelli J. Mawhin R. Nussbaum Lecture Notes in Mathematics, Topological Methods for Ordinary Differential Equations Volume 1537 1991 Springer-Verlag Providence, RI
15. D. Guo, and V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press Berlin