Boundary value problems for functional difference equations

Applied Mathematics Letters

Volumn 9, Issue 3, 1996, Pages 57-61

  Henderson, J ^a   Peterson, A ^b  

^a AUBURN UNIVERSITY   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Boundary value problem; Functional difference equation; Nonlinear alternative

Indexed keywords

EID: 0009564043     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00032-8     Document Type: Article

References (25)

1. A. Datta and J. Henderson, Differences and smoothness of solutions for functional difference equations, Proc. Difference Eqns. (to appear).
2. J. Henderson, Smoothness of solutions of delay-difference equations, Computers Math. Applic. 28 (1-3), 127-129 (1994).
3. J. Henderson and A. Peterson, Properties of delay variation in solutions of delay-difference equations, J. Nonlin. Diff. Eqns. 1, 29-38 (1995).
4. G. Ladas, Recent developments in the oscillation of delay difference equations, In Lecture Notes in Pure and Applied Math., Volume 127, Dekker, New York, (1991).
5. G. Ladas, Ch.G. Philos and Y.G. Sficas, Sharp conditions for the oscillation of delay difference equations, J. Appl. Math. & Simul. 2, 101-111 (1989).
6. R.P. Agarwal, Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments, Ann. Polon. Math. 52, 211-230 (1991).
7. R.P. Agarwal and Q. Sheng, Right focal boundary value problems for functional differential equations, In Boundary Value Problems for Functional Differential Equations, World Scientific, Singapore, (1995).
8. S.K. Ntouyas, Y.G. Sficas and P.Ch. Tsamatos, An existence principle for boundary value problems for second order functional differential equations, Nonlin. Anal. 20, 215-222 (1993).
9. S.K. Ntouyas, Y.G. Sficas and P.Ch. Tsamatos, Boundary value problems for functional differential equations, J. Math. Anal. Appl. (to appear).
10. J. Dugundgi and A. Granas, Fixed Point Theory, Monografie Matematyczne, PWN, Warsaw, (1982).
11. A. Granas, Sur la méthode de continuité de Poincaré, C. R. Acad. Sci., Paris 282, 983-985 (1976).
12. J.W. Lee and D. O'Regan, Existence results for differential delay equations I, J. Diff. Eqns. 102, 342-359 (1993).
13. J.W. Lee and D. O'Regan, Existence results for differential delay equations II, Nonlin. Anal. 17, 683-702 (1991).
14. S.K. Ntouyas, Boundary value problems for neutral functional differential equations, In Boundary Value Problems for Functional Differential Equations, World Scientific, Singapore, (1995).
15. S.K. Ntouyas and P.Ch. Tsamatos, Existence of solutions of boundary value problems with deviating argument via the topological transversality method, Proc. Royal Soc. Edin. 118A, 79-89 (1991).
16. D. O'Regan, Existence of solutions to some differential delay equations, Nonlin. Anal. 20, 79-95 (1993).
17. D. Taunton, Multipoint boundary value problems for functional differential equations, In Boundary Value Problems for Functional Differential Equations, World Scientific, Singapore, (1995).
18. P.Ch. Tsamatos, Third order boundary value problems for differential equations with deviating arguments, In Boundary Value Problems for Functional Differential Equations, World Scientific, Singapore, (1995).
19. D. O'Regan, Theory of Singular Boundary Value Problems, World Scientific, Singapore, (1994).
20. R.P. Agarwal, Difference Equations and Inequalities, Decker, New York, (1992).
21. W.G. Kelley and A.C. Peterson, Difference Equations, Academic Press, San Diego, (1991).
22. F. Merdivenci, Two positive solutions of a boundary value problem for difference equations, J. Difference Eqns. Appl. (to appear).
23. F. Merdivenci, Green's matrices and positive solutions of a discrete boundary value problem, Pan Am. Math. J. 5, 25-42 (1995).
24. P.J.Y. Wong and R.P. Agarwal, Abel-Gontsharoff interpolation error bounds for derivatives, Proc. Royal Soc. Edin. 119A, 367-372 (1991).
25. L.E. Bobisud, Existence of steady-state solutions to some constant voltage problems, In Boundary Value Problems for Functional Differential Equations, World Scientific, Singapore, (1995).