Oscillation of second order nonlinear difference equation with continuous variable

Journal of Mathematical Analysis and Applications

Volumn 255, Issue 1, 2001, Pages 349-357

  Zhang, Zhenguo ^a   Bi, Ping ^a   Chen, Jianfeng ^b  

^a HEBEI NORMAL UNIVERSITY   (China)

^b 54th Res Institute (Electronics)   (China)

Author keywords

Continuous variable; Generalized Riccati transformations; Integral transformations; Oscillation

Indexed keywords

EID: 0035285354     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7271     Document Type: Article

References (26)

1. Stavroulakis I. P. Oscillation of delay difference equations. Comput. Math. Appl. 29:1995;83-88.
2. Zhang Y., Yan J. Oscillation criteria for difference equations with continuous arguments. Acta Math. Sinica. 38:1995;406-411.
3. Zhang Yuzhu, Yan Jurang, Zhao Aimin. Oscillation criteria for a difference equation. Indian J. Pure Appl. Math. 28:1997;1241-1249.
4. Zhang B. G., Yan Jun, Choi S. K. Oscillation for difference equations with continuous variable. Comput. Math. Appl. 36:1998;11-18.
5. Yan Jurang, Zhang Fengqin. Oscillation for system of delay difference equation. J. Math. Anal. Appl. 230:1999;223-231.
6. Zhang Z. G., Li Q. L. Oscillation theorems for second-order advanced functional difference equations. Comput. Math. Appl. 36:1998;11-18.
7. Zhang Z. G., Zhang J. L. Oscillation criteria for second-order advanced difference equations with "Summation Small" coefficient. Comput. Math. Appl. 138:1999;25-31.
8. Zhang Z. G., Yuanhong Yu. Oscillation of solutions for a class of nonlinear second order difference equations. Math. J. Res. Exposition. 19:1999;699-703.
9. Yan J. The oscillation properties for the solutions of the second order differential equation with "internal small" coefficient. Acta Math. Sinica. 30:1987;209-215.
10. Artstein Z. Set valued measures. Trans. Amer. Math. Soc. 165:1972;103-125.
11. Bartle R. G. A general bilinear vector integral. Studia Math. 15:1956;337-352.
12. Brooks James K., Dinculeanu N. Weak compactness in space of Bochner integrable functions and applications. Adv. Math. 24:1977;172-188.
13. Castaing C., Valadier M. Convex Analysis and Multifunctions. Lecture Notes in Mathematics. 580:1977;Springer-Verlag, Berlin.
14. Costé A. Sur les multimeasures a valeurs fermees bornes d'un espace de Banach. C. R. Acad. Sci. Paris. 280:1975;567-570.
15. Costé A. Densite des selecteurs d'une multimeasure á valeurs fermees bornees d'un espace Banach separable. C. R. Acad. Sci. Paris. 282:1976;967-969.
16. Costé A., de la Barriere R. Pallu. Sur Pensemble des sections d'une multimeasures á valeurs convexes fermees. C. R. Acad. Sci. Paris. 282:1976;829-832.
17. Diestel J., Uhl J. Vector Measures. Math. Surveys. 15:1977;Am. Math. Soc. Providence.
18. Godet-Thobie C. Selections de multimeasures. Application a un theoreme de Radon-Nikodym multivoque. C. R. Acad. Sci. Paris. 279:1974;603-606.
19. Godet-Thobie C. Some results about multimeasures and their selectors. Measure Theory. Lecture Notes in Mathematics. 794:1979;Springer-Verlag, Berlin.
20. Hiai F., Umegaki H. Integrals, conditional expectations, and martingales of multivalued functions. J. Multivariate Anal. 7:1977;149-182.
21. Hiai F. Radon-Nikodym theorems for set valued measures. J. Multivariate Anal. 8:1978;96-118.
22. Klein E., Thompson A. Theory of Correspondences. 1984;Wiley, New York.
23. Papageorgiou N. S. On the theory of Banach space valued multifunction. 1. Integration and conditional expectation. 2. Set valued martingales and set valued measure. J. Multivariate Anal. 17:1985;185-227.
24. Papageorgiou N. S. On the conditional expectation and convergence properties of random sets. Trans. Amer. Math. Soc. 347:1995;2495-2515.
25. Wang Z.-P., Wang R.-M. Set valued Lebesgue-Stieltjes integrals. Chinese J. Appl. Probab. Statist. 13:1997;303-316.
26. Wang Z.-P., Xue X.-H. On convergence and closedness of multivalued martingales. Trans. Amer. Math. Soc. 341:1994;807-827.