Inclusion Theorems for Non-linear Difference Equations with Applications

Journal of Difference Equations and Applications

Volumn 10, Issue 4, 2004, Pages 399-408

  Berg, Lothar ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Asymptotic behaviour; Boundary value problems; Complete asymptotic expansion; Inclusion theorems; Non linear difference equations; Riccati like equations

Indexed keywords

EID: 1842564001     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190310001625280     Document Type: Article

References (10)

1. R. P. Agarwal, D. O'Regan and P. J. Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.
2. L. Berg, Asymptotische Darstellungen und Entwicklungen, Dt. Verlag Wiss., Berlin, 1968.
3. L. Berg, On the asymptotics of non-linear difference equations, Z. Anal. Anwend., 21 (2002), 1061-1074.
4. A. Cabada, V. Otero-Espinar and R. L. Pouso, Existence and approximation of solutions for first-order discontinuous difference equations with non-linear global conditions in the presence of lower and upper solutions, Comput. Math. Appl. 39 (2000), 21-33.
5. A. Cabada and V. Otero-Espinar, Existence and comparison results for difference Φ-Laplacian boundary value problems with lower and upper solutions in reverse order, J. Math. Appl. 267 (2002), 501-521.
6. R. B. Dingle, Asymptotic Expansions: Their Derivation and Interpretation, Academic Press, London, 1973.
7. M. R. S. Kulenović and G. Ladas, Dynamics of Second Order Rational Difference Equations, Chapman and Hall, Boca Raton, FL, 2002.
8. B. G. Pachpatte, Inequalities for Finite Difference Equations, Marcel Dekker, New York, 2002.
9. J. W. Schmidt, Über lineare Ungleihungen vom Gronwallschen Typ, Beiträge Numer. Math. 5 (1976), 171-189.
10. W. Walter, Differential- und Integral-Ungleichungen und ihre Anwendung bei Abschätzungs- und Eindeutigkeitsproblemen, Springer, Berlin, 1964.