Extremal solutions of nonlinear first order impulsive integro-differential equations in banach spaces

Indian Journal of Pure and Applied Mathematics

Volumn 30, Issue 11, 1999, Pages 1181-1197

  Huiqin, Lu ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

Cone and partial ordering; Contraction mapping principle; Extremal solutions; Impulsive integro differential equation; Monotone iterative technique

Indexed keywords

EID: 0039446523     PISSN: 00195588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, (1985).
2. D. J. Guo and V. Lakshmikantham, Nonlinear problems in Abstract Cones, Academic Press, New York, (1988).
3. D. J. Guo, V. Lakshmikantham and X. Z. Liu, Nonlinear Integral Equations in Abstract Spaces, Kluwer Academic Publishers, Dordrecht, (1996).
4. V. Lakshmikantham, D. D. Bainor and P. S. Simeonov, Theory of Impulsive Differential Equations, World Sci. Publishin Co., Singapore, (1989).
5. X. Z. Liu and D. J. Guo, Initial value problems for first order impulsive integro-differential equations in Banach spaces, Comm. Appl. Nonlinear Anal. 2 (1995), 65-83.