Existence results for second order boundary value problem of impulsive dynamic equations on time scales

Journal of Mathematical Analysis and Applications

Volumn 296, Issue 1, 2004, Pages 65-73

  Benchohra, M ^a   Ntouyas, S K ^b   Ouahab, A ^a  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Boundary value problem; Delta derivative; Fixed point; Impulsive dynamic equations; Measure chains; Time scale

Indexed keywords

EID: 3242768437     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.02.057     Document Type: Article

References (27)

1. Agarwal R.P. Bohner M. Basic calculus on time scales and some of its applications Results Math. 35 1999 3-22
2. Agarwal R.P. Bohner M. Peterson A. Inequality on time scales: a survey Math. Inequal. Appl. 4 2001 555-557
3. Agarwal R.P. Bohner M. Quadratic functionals for second-order matrix equations on time scales Nonlinear Anal. 33 1998 675-692
4. Agarwal R.P. Bohner M. Wong P.J.Y. Sturm-Liouville eigenvalue problems on time scales Appl. Math. Comput. 99 1999 153-166
5. Agarwal R.P. O'Regan D. Triple solutions to boundary value problems on time scales Appl. Math. Lett. 13 2000 7-11
6. Agarwal R.P. O'Regan D. Infinite Interval Problems for Differential, Difference and Integral Equations 2001 Kluwer Dordrecht
7. Anderson D.R. Eigenvalue intervals for a second-order mixed-conditions problem on time scales Int. J. Nonlin. Differential Equations 7 2002 97-104
8. Anderson D.R. Eigenvalue intervals for a two-point boundary value problem on a measure chain J. Comput. Appl. Math. 141 2002 57-64
9. D.R. Anderson, Eigenvalue intervals for even-order Sturm-Liouville dynamic equations, J. Comput. Appl. Math., in press
10. Anderson D.R. Solutions to second-order there point problems on time scales J. Difference Equ. Appl. 8 2002 673-688
11. Aulbach B. Hilger S. Linear dynamical processes with inhomogeneous time scale Nonlinear Dynamics and Quantum Dynamical Systems 1990 Akademie Verlage Berlin
12. Bainov D.D. Simeonov P.S. Systems with Impulse Effect 1989 Ellis Horwood Chichister
13. Bohner M. Guseinov G.Sh. Improper integrals on time scales Dynam. Systems Appl. 12 2003 45-65
14. Bohner M. Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications 2001 Birkhäuser Boston
15. Bohner M. Peterson A. Advances in Dynamic Equations on Time Scales 2003 Birkhäuser Boston
16. Bohner M. Peterson A. First and second order linear dynamic equations on time scales J. Difference Equ. Appl. 7 2001 767-792
17. Bohner M. Eloe P.W. Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions J. Math. Anal. Appl. 246 2000 656-656
18. Dugundji J. Granas A. Fixed Point Theory Mongrafie Mat. 1982 PWN Warsaw
19. Erbe L. Peterson A. Positive solutions for nonlinear differential equations on a measure chains Dyn. Contin. Discrete Impuls. Syst. 6 1999 121-137
20. Erbe L. Peterson A. Green's functions and comparison theorems for differential equations on a measure chains Math. Comput. Modelling 32 2000 571-585
21. Henderson J. Nontrivial solutions to a nonlinear boundary value problem on a times scale Comm. Appl. Nonlinear Anal. 11 2004 65-71
22. Henderson J. Double solutions of impulsive dynamic boundary value problems on a time scale J. Difference Equ. Appl. 8 2002 345-356
23. Lakshmikantham V. Bainov D.D. Simeonov P.S. Theory of Impulsive Differential Equations 1989 World Scientific Singapore
24. Lakshmikantham V. Sivasundaram S. Kaymakcalan B. Dynamic Systems on Measure Chains 1996 Kluwer Dordrecht
25. Samoilenko A.M. Perestyuk N.A. Impulsive Differential Equations 1995 World Scientific Singapore
26. Smart D.R. Fixed Point Theorems 1974 Cambridge Univ. Press Cambridge
27. J.P. Sum, W.T. Li, A new existence theorem for right focal boundary value problems on a measure chains, , in press