Nontrivial solutions of boundary value problems of second-order difference equations

Journal of Mathematical Analysis and Applications

Volumn 326, Issue 1, 2007, Pages 297-302

  Bai, Dingyong ^a,b   Xu, Yuantong ^a  

^a SUN YAT SEN UNIVERSITY   (China)

^b SHAOGUAN UNIVERSITY   (China)

Author keywords

Boundary value problem; Critical point; Difference equation; Nontrivial solution; Palais Smale condition

Indexed keywords

EID: 33750626519     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.02.091     Document Type: Article

References (12)

1. Kelley W.G., and Peterson A.C. Difference Equations (1991), Academic Press, Boston
2. Agarwal R.P. Difference Equations and Inequalities (1992), Marcal Dekker, New York
3. Elaydi S.N. An Introduction to Difference Equations. Undergrad. Texts Math. second ed. (1999), Springer-Verlag, New York
4. Kocic V.L., and Ladas G. Global Behavior of Nonlinear Difference Equations of Higher-Order with Applications (1993), Kluwer Academic, Dordrecht
5. Lakshmikantham V., and Trigiante D. Theory of Difference Equations: Numerical Methods and Applications (1988), Academic Press, New York
6. Henderson J., and Thompson H.B. Existence of multiple solutions for second-order discrete boundary value problems. Comput. Math. Appl. 43 (2002) 1239-1248
7. Agarwal R.P., and Henderson J. Positive solutions and nonlinear eigenvalue problems for third-order difference equations. Comput. Math. Appl. 36 10-12 (1998) 347-355
8. Avery R.I., and Peterson A.C. Three positive fixed points of nonlinear operators on ordered Banach spaces. Comput. Math. Appl. 42 (2001) 313-322
9. Eloe P. A boundary value problem for a system of difference equations. Nonlinear Anal. 7 (1983) 813-820
10. Anderson D., Avery R.I., and Peterson A.C. Three positive solutions to a discrete focal boundary value problem. J. Comput. Appl. Math. 88 (1998) 103-118
11. Agarwal R.P., Perera K., and O'Regan D. Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Nonlinear Anal. 58 (2004) 69-73
12. Rabinowitz P.H. Minimax Methods in Critical Point Theory with Applications to Differential Equations. CBMS Reg. Conf. Ser. Math. vol. 65 (1986), Amer. Math. Soc., Providence, RI