Smoothness of solutions for boundary value problems with impulse effects, II

Mathematical and Computer Modelling

Volumn 23, Issue 10, 1996, Pages 61-69

  Henderson, J ^a   Thompson, H B ^b  

^a AUBURN UNIVERSITY   (United States)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Boundary value problem; Data dependence; Impulse

Indexed keywords

EID: 0002637909     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00054-4     Document Type: Article

References (10)

1. D.D. Bainov, V. Lakshmikantham and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, (1989).
2. D.D. Bainov and P.S. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Longman Scientific and Technical, Essex, England, (1993).
3. D.D. Bainov and P.S. Simeonov, Systems with Impulse Effect, Ellis Horwood Limited, Chichister, England, (1989).
4. P.W. Eloe and J. Henderson, A boundary value problem for a system of ordinary differential equations with impulse effects, Rocky Mtn. J. Math (to appear).
5. S. Hu and V. Lakshmikantham, Continuous dependence and differentiability of solutions with respect to initial values of impulsive differential equations, Preprint.
6. V. Lakshmikantham, K.N. Murty and S. Sivasundaram, Impulsive differential systems for two point boundary value problems, Appl. Math. Comp. 15, 52-63 (1992).
7. K.N. Murty, G.W. Howell and S. Sivasundaram, Two point boundary value problems associated with a system of first order nonlinear impulse differential equations, Appl. Anal. 51, 303-313 (1993).
8. P.S. Simeonov, Continuous dependence of the solutions of systems with impulse effect on the initial data and a parameter, God. VUZ Appl. Math. 22, 57-67 (1986).
9. P.S. Simeonov and D.D. Bainov, Differentiability of solutions of systems with impulse effect with respect to initial data and parameter, Bull. Inst. Math. Acad. Sinica 15, 251-269 (1987).
10. J. Henderson and H.B. Thompson, Smoothness of solutions for boundary value problems with impulse effects, Dyn. Continuous, Discrete & Impulsive Systems 1, 69-77 (1995).