Periodic boundary value problems of integro-differential equation of Volterra type on time scales

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 1, 2008, Pages 127-138

  Xing, Yepeng ^a   Ding, Wei ^a   Han, Maoan ^a  

^a SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

34D09; 34D99; Integro differential equations; Iterative method; Periodic boundary value problem; Time scales

Indexed keywords

BOUNDARY VALUE PROBLEMS; ITERATIVE METHODS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS;

PERIODIC BOUNDARY VALUE PROBLEMS; TIME SCALES;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 34848920902     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.10.036     Document Type: Article

References (15)

1. Agarwal R., Bohner M., Domoshnitsky A., and Goltser Y. Floquet theory and stability of nonlinear integro-differential equations. Acta Math. Hungar. 109 (2005) 305-330
2. Bohner M., and Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications (2001), Birkhäuser, Boston
3. Bohner M., and Peterson A. Advances in Dynamic Equations on Time Scales (2003), Birkhäuser, Boston
4. Corduneanu C. Integral Equations and Applications (1991), Cambridge University Press MR 92h:45001
5. Franco D. Green's functions and comparison results for impulsive integro-differential equations. Nonlinear Anal. 47 (2001) 5723-5728
6. Guo D., Lakshmikantham V., and Liu X. Nonlinear Integral Equations in Abstract Spaces (1996), Kluwer, Dordrecht
7. Guo D. Initial value problems for integro-differential equations of Volterra type in Banach spaces. J. Appl. Math. Stoch. Anal. 7 (1994) 13-23
8. He Z., and He X. Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296 (2004) 8-20
9. Hilger S. Analysis on measure chain, a unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
10. Jankowski T., and Jankowski R. On integro-differential equations with delayed arguments. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13 (2006) 101-115
11. Lakshmikantham V., Sivasundaram S., and Kaymakcalan B. Dynamic Systems on Measure Chains (1996), Kluwer
12. Nieto J.J., and Rodriguez Lopez R. Periodic boundary value problems for non-Lipschitzian impulsive functional differential equations. J. Math. Anal. Appl. 318 (2006) 593-610
13. Song G. Initial value problems for systems of integro-differential equations in Banach spaces. J. Math. Anal. Appl. 264 (2001) 68-75
14. Xing Y., Han M., and Zheng G. Initial value problem for first order integro-differential equation of Volterra type on time scales. Nonlinear Anal. 60 3 (2005) 429-442
15. Xu H., and Nieto J.J. Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces. Proc. Amer. Math. Soc. 125 (1997) 2605-2614