Existence theorems for a system of difference equations with ( n,p )-type conditions

Applied Mathematics and Computation

Volumn 123, Issue 3, 2001, Pages 389-407

  Wong, Patricia J Y ^a   Agarwal, Ravi P ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Solutions of fixed signs; System of boundary value problems

Indexed keywords

EID: 0035888423     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00078-3     Document Type: Article

References (20)

1. Agarwal R.P. Difference Equations and Inequalities. 1992;Marcel Dekker, New York.
2. Agarwal R.P. Focal Boundary Value Problems for Differential and Difference Equations. 1998;Kluwer Academic Publishers, Dordrecht.
3. Agarwal R.P., O'Regan D. A fixed point approach for nonlinear discrete boundary value problems. Comput. Math. Appl. 36(10-12):1998;115-121.
4. Agarwal R.P., O'Regan D. A coupled system of difference equations. Appl. Math. Comp. 114:2000;39-49.
5. Agarwal R.P., O'Regan D., Wong P.J.Y. Positive Solutions of Differential, Difference and Integral Equations. 1999;Kluwer Academic Publishers, Dordrecht.
6. Agarwal R.P., Wong P.J.Y. Advanced Topics in Difference Equations. 1997;Kluwer Academic Publishers, Dordrecht.
7. R.P. Agarwal, P.J.Y. Wong, Existence criteria for a system of two-point boundary value problems, Appl. Anal., to appear.
8. Aronson D., Crandall M.G., Peletier L.A. Stabilization of solutions of a degenerate nonlinear diffusion problem. Nonlinear Anal. 6:1982;1001-1022.
9. Choi Y.S., Ludford G.S. An unexpected stability result of the near-extinction diffusion flame for non-unity Lewis numbers. Q. J. Mech. Appl. Math. 42(part 1):1989;143-158.
10. Cohen D.S. Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory. SIAM J. Appl. Math. 20:1971;1-13.
11. Dancer E.N. On the structure of solutions of an equation in catalysis theory when a parameter is large. J. Differential Equations. 37:1980;404-437.
12. v) Bull. Am. Math. Soc. 75:1969;132-135.
13. I. M. Gel'fand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauka 14 (1959) 87-158 (English translation, Trans. Am. Math. Soc. 29 (1963) 295-381).
14. I. M. Gel'fand, Some problems in the theory of quasilinear equations, Uspehi Mat. Nauka 14 (1959) 87-158 (English translation, Trans. Am. Math. Soc. 29 (1963) 295-381).
15. J. Henderson, P.J.Y. Wong, On multiple solutions of a system of m discrete boundary value problems, to appear.
16. Krasnosel'skii M.A. Positive Solutions of Operator Equations. 1964;Noordhoff, Groningen.
17. Leggett R.W., Williams L.R. A fixed point theorem with application to an infectious disease model. J. Math. Anal. Appl. 76:1980;91-97.
18. Parter S. Solutions of differential equations arising in chemical reactor processes. SIAM J. Appl. Math. 26:1974;687-716.
19. Wong P.J.Y. Solutions of constant signs of a system of Sturm-Liouville boundary value problems. Math. Comp. Modelling. 29:1999;27-38.
20. Wong P.J.Y., Agarwal R.P. Fixed-sign solutions of a system of higher order difference equations. J. Comp. Appl. Math. 113:2000;167-181.