Uniqueness and existence results for implicit impulsive differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 1, 2000, Pages 13-26

  Heikkila S ^a   Kumpulainen, M ^a   Seikkala, S ^a  

^a UNIVERSITY OF OULU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SEQUENCES; BOUNDARY CONDITIONS; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; INTEGRODIFFERENTIAL EQUATIONS; THEOREM PROVING;

BANACH SPACE; UNIQUENESS AND EXISTENCE OF SOLUTION;

INITIAL VALUE PROBLEMS;

EID: 0034274991     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00325-3     Document Type: Article

References (10)

1. D. Bainov, P. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 66, Pitman, London, 1993.
2. S. Carl, S. Heikkilä, On discontinuous implicit evolution equation, J. Math. Anal. Appl. 219 (1998) 455-471.
3. S. Carl, S. Heikkilä, On discontinuous implicit and explicit abstract impulsive boundary value problems, Nonlinear Anal., to appear.
4. S. Carl, S. Heikkilä, Pirkko Koponen, On first-order discontinuous implicit boundary value problems, Dynamic Control Discrete Imp. Systems, to appear.
5. S. Heikkilä, Existence Results for First-Order Discontinuous Differential Equations of General Form, Pitman Research Notes in Mathematics Series, vol. 374, Longman, New York, 1997, pp. 78-83.
6. S. Heikkilä, First-order discontinuous implicit differential equations with discontinuous boundary conditions, Proc. 2nd World Congress of Nonlinear Analysts, Nonlinear Anal. 30 (3) (1997) 1753-1761.
7. S. Heikkilä, V. Lakshmikantham, Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Marcel Dekker, New York, 1994.
8. S. Heikkilä, M. Kumpulainen, S. Seikkala, Uniqueness and comparison results for implicit differential equations, Dynamic Systems Appl. 7 (1998) 237-244.
9. V. Lakshmikantham, D. Bainov, P. Simeonov, Theory of Impulsive Differential Equations, World Scientific Series in Modern Applied Mathematics, vol. 6, World Scientific, Singapore, 1989.
10. S. Seikkala, S. Heikkilä, Uniqueness, comparison and existence results for discontinuous implicit differential equations, Proc. 2nd World Congress of Nonlinear Analysts, Nonlinear Anal. 30 (3) (1997) 1771-1780.