Positive solution for system of nonlinear first-order PBVPs on time scales

Nonlinear Analysis, Theory, Methods and Applications

Volumn 62, Issue 1, 2005, Pages 131-139

  Sun, Jian Ping ^a,b   Li, Wan Tong ^a  

^a LANZHOU UNIVERSITY   (China)

^b LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Cone; Fixed point; Periodic boundary value problems; Positive solution; Time scale

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

FIXED POINT; PERIODIC BOUNDARY VALUE PROBLEMS (PBVP); POSITIVE SOLUTIONS; TIME SCALES;

BOUNDARY VALUE PROBLEMS;

EID: 18444379072     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.03.016     Document Type: Article

References (16)

1. R.P. Agarwal, and M. Bohner Basic calculus on time scales and some of its applications Results Math. 35 1999 3 22
2. R.P. Agarwal, and D. O'Regan Nonlinear boundary value problems on time scales Nonlinear Anal. 44 2001 527 535
3. M. Bohner, and A. Peterson Dynamic Equations on Time Scales 2001 Springer New York
4. L. Erbe, and S. Hilger Sturmian theory on measure chains Differ. Eq. Dynamical Syst. 1 1993 223 246
5. L. Erbe, and A. Peterson Positive solutions for a nonlinear differential equation on a measure chain Math. Comput. Model. 32 5-6 2000 571 585
6. S. Gulsan Topal Second-order periodic boundary value problems on time scales Comput. Math. Appl. 48 2004 637 648
7. D. Guo, and V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press New York
8. J.R. Haddock, and M.N. Nkashama Periodic boundary value problems and monotone iterative methods for functional differential equations Nonlinear Anal. 22 1994 267 276
9. S. Hilger Analysis on measure chains - a unified approach to continuous and discrete calculus Results Math. 18 1990 18 56
10. B. Kaymakcalan, V. Lakshmikanthan, and S. Sivasundaram Dynamic Systems on Measure Chains 1996 Kluwer Academic Publishers Boston
11. V. Lakshmikantham Periodic boundary value problems of first and second order differential equations J. Appl. Math. Simulat. 2 1989 131 138
12. V. Lakshmikantham, and S. Leela Existence and monotone method for periodic solutions of first-order differential equations J. Math. Anal. Appl. 91 1983 237 243
13. V. Lakshmikantham, and S. Leela Remarks on first and second order periodic boundary value problems Nonlinear Anal. 8 1984 281 287
14. S. Leela, and M.N. Oguztoreli Periodic boundary value problem for differential equations with delay and monotone iterative method J. Math. Anal. Appl. 122 1987 301 307
15. E. Liz, and J.J. Nieto Periodic boundary value problems for a class of functional differential equations J. Math. Anal. Appl. 200 1996 680 686
16. S. Peng Positive solutions for first order periodic boundary value problem Appl. Math. Comput. 158 2004 345 351