Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space

Nonlinear Analysis, Theory, Methods and Applications

Volumn 56, Issue 7, 2004, Pages 985-1006

  Guo, Dajun ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Completely continuous operator; Cone and partial ordering; Fixed point index; Impulsive integro differential equation; Measure of noncompactness

Indexed keywords

INTEGRATION; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; SET THEORY; THEOREM PROVING;

COMPLETELY CONTINOUS OPERATOR; CONE AND PARTIAL ORDERING; FIXED POINT INDEX; IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION; MEASURE OF NONCOMPACTNESS;

BOUNDARY VALUE PROBLEMS;

EID: 0742272531     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2003.10.023     Document Type: Article

References (10)

1. Banas J., Goebel K. Measures of Noncompactness in Banach Spaces. 1980;Marcel Dekker, New York/Basel.
2. Erbe L.H., Liu X.Z. Quasisolutions of nonlinear impulsive equations in abstract cones. Appl. Anal. 34:1989;231-250.
3. Guo D. Periodic boundary value problems for second order impulsive integro-differential equations in Banach spaces. Nonlinear Anal. 28:1997;983-997.
4. Guo D. Second order impulsive integro-differential equations on unbounded domains in Banach spaces. Nonlinear Anal. 35:1999;413-423.
5. Guo D. Existence of solutions for. n th order impulsive integro-differential equations in a Banach space Nonlinear Anal. 47:2001;741-752.
6. Guo D., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Academic Press, Boston.
7. Guo D., Lakshmikantham V., Liu X.Z. Nonlinear Integral Equations in Abstract Spaces. 1996;Kluwer Academic Publishers, Dordrecht.
8. Guo D., Liu X.Z. Extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces. J. Math. Anal. Appl. 177:1993;538-552.
9. Lakshmikantham V., Bainov D.D., Simeonov P.S. Theory of Impulsive Differential Equations. 1989;World Scientific, Singapore.
10. Liu X.Z. Nonlinear boundary value problems for first order impulsive integro-differential equations. Appl. Anal. 36:1990;119-130.