A boundary value problem for a system of ordinary differential equations with impulse effects

Rocky Mountain Journal of Mathematics

Volumn 27, Issue 3, 1997, Pages 785-799

  Eloe, Paul W ^a   Henderson, Johnny ^b  

^a UNIVERSITY OF DAYTON   (United States)

^b AUBURN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040007915     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071893     Document Type: Article

References (8)

1. R.P. Agarwal, Contraction and approximate contraction with an application to multi-point boundary value problems, J. Comp. Appl. Math. 9 (1983), 315-325.
2. D.D. Bainov, V. Lakshmikantham and P.S. Simeonov, Theory of impulsive differential equations, World Scientific, Singapore, 1989.
3. D.D. Bainov and P.S. Simeonov, Impulsive differential equations: Periodic solutions and applications, Longman Scientific and Technical, Essex, England, 1993.
4. D.D. Bainov and P.S. Simeonov, Systems with impulse effect, Ellis Horwood Limited, Chichister, England, 1989.
5. L. Collatz, Functional analysis and numerical mathematics, Academic Press, New York, 1966.
6. P.W. Eloe and L.J. Grimm, Differential systems and multipoint boundary value problems, ZAMM 62 (1982), 630-632.
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 (1993), 303-313.
8. J. Werner, Einschliefiungssatze bei nichtlinearen gewohnlichen Randwertauf-gaben und erzwungenen Schwingungen, Numer. Math. 13 (1969), 24-38.