First order difference equations with maxima and nonlinear functional boundary value conditions

Journal of Difference Equations and Applications

Volumn 12, Issue 6, 2006, Pages 565-576

  Atici, Ferhan M ^a   Cabada, Alberto ^b   Ferreiro, Juan B ^b  

^a WESTERN KENTUCKY UNIVERSITY   (United States)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

First order difference equations; Nonlinear functional boundary value problems; Upper and lower solutions

Indexed keywords

EID: 33745660825     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190600637924     Document Type: Article

References (12)

1. Agarwal, R.P., Cabada, A., Otero-Espinar, V. and Dontha, S., 2004, Existence and uniqueness of solutions for anti-periodic difference equations. Archives of Inequalities and Applications, 2(4), 397-411.
2. Atici, F., Cabada, A., and Ferreiro, J.B., 2002, Existence and comparison results for first order periodic implicit difference equations with maxima. In honor of Professor Lynn Erbe, Journal of Difference Equations and Applications, 8(4), 357-369.
3. Cabada, A., The method of lower and upper solutions for periodic and anti-periodic difference equation. Electronic Transactions on Numerical Analysis, To appear.
4. Cabada, A., Ferreiro, J.B. and Liz, E., 2001, Comparison results for first order difference equations with maxima, Proceedings of the XVII Congress of Differential Equations and Applications/VII Congress of Applied Mathematics, (In Spanish).
5. Cabada, A., Otero-Espinar, V. and Pouso, R.L., 2000, Existence and approximation of solutions for discontinuous first order difference problems with nonlinear functional boundary conditions in the presence of lower and upper solutions. Computers & Mathematics with Applications, 39, 21-33.
6. Cabada, A. and Otero-Espinar, V., 2000, Optimal existence results for nth order periodic boundary value difference equations. Journal of Mathematical Analysis and Applications, 247, 67-86.
7. Cid, J.A., 2004, On extremal fixed points in Schauder's theorem with applications to differential equations. Bulletin of the Belgian Mathematical Society-Simon Stevin, 11(1), 15-20.
8. Franco, D., O'Regan, D. and Perán, J., 2004, Upper and lower solution theory for first and second order difference equations. Dynamics Systems & Applications, 13(2), 273-282.
9. Liz, E. and Ferreiro, J.B., 2002, A note on the global stability of generalized difference equations. Applied Mathematics Letters, 15, 655-659.
10. Mohamad, S. and Gopalsamy, K., 2000, Continuous and discrete Halanay-type inequalities. Bulletin of the Australian Mathematical Society, 61, 371-385.
11. Pinto, M. and Trofimchuk, S., 2000, Stability and existence of multiple solutions for a quasilinear differential equation with maxima, Proceedings of the Royal Society of Edinburgh Section A, 130, 1103-1118.
12. Xu, H.K. and Liz, E., 1996, Boundary value problems for differential equations with maxima. Nonlinear Studies, 3, 231-241.