Existence of periodic solutions of higher-order differential equations

Mathematical and Computer Modelling

Volumn 41, Issue 2-3, 2005, Pages 215-225

  Wong, Fu Hsiang ^a   Lin, Shang Wen ^a   Lian, Wei Cheng ^b   Yu, Shiueh Ling ^c  

^a National Taipei Teacher's College   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^c ST JOHN'S UNIVERSITY   (Taiwan)

Author keywords

Higher order boundary value problems; Priori bound

Indexed keywords

BOUNDARY VALUE PROBLEMS; FUNCTIONS; MATHEMATICAL MODELS;

HIGHER-ORDER DIFFERENTIAL EQUATIONS; PERIODIC SOLUTIONS;

DIFFERENTIAL EQUATIONS;

EID: 19744371649     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.05.003     Document Type: Article

References (10)

1. P. Habets, and L. Sanchez Periodic solutions of some Liénard equations with singularities Proc. Amer. Math. Soci. 109 1990 1035 1044
2. J. Mawhin, Points fixes, points critiques et probléme aux limits, Semin. Math. Sup. 92.
3. M.N. Nkashama A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations J. Math. Anal. Appli. 140 1989 381 395
4. J.J. Nieto A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problem J. Math. Anal. Appli. 151 1990 181 189
5. C.G. Wang Generalized upper and lower solution method for the forced Duffing equation Proc. Amer. Math. Soci. 125 1997 397 406
6. R.P. Agarwal, F.H. Wong, and W.C. Lian Existence of positive solutions of nonlinear second order differential systems Appliciable Analysis 63 1996 375 387
7. R.P. Agarwal, and F.H. Wong Existence of positive solutions for higher order boundary value problems Nonlinear Studies 5 1998 15 24
8. R.P. Agarwal, and F.H. Wong Existence of positive solutions for non-positive higher order BVP's Computational and Applied Mathematics 88 1998 3 14
9. R.P. Agarwal, and F.H. Wong An application of topological transervality with respect to non-positive higher order BVP's Dynamic. System. Appl. 7 1998 319 328
10. J. Mawhin Topological degree and boundary value problems for nonlinear differential equations NSFCB Regional Conference Series in Math Volume 40 1979 Amer. Math. Soc. Menlo Park, CA