Oscillation of delay differential equations on time scales

Mathematical and Computer Modelling

Volumn 36, Issue 11-13, 2002, Pages 1307-1318

  Zhang, B G ^a   Deng, Xinghua ^a  

^a OCEAN UNIVERSITY OF CHINA   (China)

Author keywords

Measure chain; Oscillation; Right dense; Right scatter; Time scale

Indexed keywords

EID: 0037032847     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00278-9     Document Type: Article

References (12)

1. S. Hilger, Analysis on measure chains - A unified approach to continuous and discrete calculus, Results in Mathematics 18, 18-56, (1990).
2. L. Erbe and A. Peterson, Riccati equations on a measure chain, In Proc. Dynamic Systems Appl., Volume 3, pp. 193-199, Dynamic Publishers, (2001).
3. R. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35, 3-22, (1999).
4. M. Bohner and A. Peterson, Dynamic Equations on Time Scales, Birkhauser, Boston, MA, (2001).
5. M. Bohner and A. Peterson, First and second order linear dynamic equations on time scales, J. Difference Equations and Appl. 7, 767-792, (2001).
6. M. Bohner and P.W. Eloe, Higher order dynamic equations on measure chains; Wronskians, disconjugacy and interpolating families of functions, J. Math. Anal. Appl. 246, 639-656, (2000).
7. L. Erbe and A. Peterson, Green's functions and comparison theorem for differential equations on measure chain, Dynam. Contin. Discrete Impuls. Systems 6 (1), 121-137, (1999).
8. L. Erbe and A. Peterson, Positive solution for a nonlinear differential equation on a measure chain, Mathl. Comput. Modelling 32 (5/6), 571-585, (2000).
9. B. Kaymakcalan, V. Lakshmikantham and S. Sivasundaram, Dynamic Systems on Measure Chains, Kluwer Academic, Dordrecht, (1996).
10. J.S. Yu, B.G. Zhang and Z.C. Wang, Oscillation of delay difference equations, Applicable Analysis 53, 117-124, (1991).
11. G.S. Ladde, V. Lakshmikantham and B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, (1987).
12. B.G. Zhang, The forced oscillation of first order differential equations with deviating arguments, (in Chinese), Acta Mathematicate Applicatae Sinica 15 (1), 105-111, (1992).