Existence of positive solutions of boundary value problem for a discrete difference system

Applied Mathematics and Computation

Volumn 156, Issue 3, 2004, Pages 857-870

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

^a GANSU UNIVERSITY OF TECHNOLOGY   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

Cone; Discrete system; Fixed point; Nonlinear alternative; Positive solution

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DIFFERENCE EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; MAPPING; NONLINEAR SYSTEMS; THEOREM PROVING;

DISCRETE SYSTEMS; FIXED POINTS; NONLINEAR ALTERNATIVES; POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 4344576422     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.06.014     Document Type: Article

References (14)

1. Wong P.J.Y. Solutions of constant signs of a system of Sturm-Liouville boundary value problems. Math. Comput. Model. 29:1999;27-38.
2. Shi Y.M., Chen S.Z. Spectral theory of second order vector difference equations. J. Math. Anal. Appl. 239:1999;195-212.
3. Gavalas G.R. Nonlinear Differential Equations of Chemically Reacting Systems. 1968;Springer-Verlag, New York.
4. Leung A.W. Systems of Nonlinear Partial Differential Equations. 1989;Kluwer Academic Publishers, Dordrecht, The Netherlands.
5. Cooke K.L., Kaplan J.L. A periodic threshold theorem for epidemics and population growth. Math. Biosci. 31:1976;87-104.
6. Sun J.P., Li W.T. Multiple positive solutions of a discrete difference system. Appl. Math. Comp. 143:2003;213-221.
7. Agarwal R.P., Wang Fu-Hsiang Existence of positive solutions for nonpositive difference equations. Math. Comput. Model. 26(7):1997;77-85.
8. Agarwal R.P., Henderson J. Positive solutions and nonlinear eigenvalue problems for third-order difference equations. Comput. Math. Appl. 36(10-12):1998;347-355.
9. Wong P.J.Y., Agarwal R.P. On the existence of positive solutions of high order difference equations. Topol. Methods Nonlinear Anal. 10:1997;339-351.
10. Wong P.J.Y., Agarwal R.P. On the existence of positive solutions of singular boundary value problems for high order difference equations. Nonlinear Anal. TMA. 28(2):1997;277-287.
11. Leggett R.W., Williams L.R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univer. Math. J. 28:1979;673-688.
12. Davis J.M., Eloe P.W., Henderson J. Triple positive solutions and dependence on high order derivatives. J. Math. Anal. Appl. 237:1999;710-720.
13. Guo D., Lakshmikantham V. Nonlinear problems in Abstract Cones. 1988;Academic Press, San Diego.
14. Agarwal R.P., Lalli B.S. Discrete polynomial interpolation, Green's functions, maximum principle, error bounds and boundary value problem. J. Comp. Math. Appl. 25:1993;3-39.