Existence of positive solutions for nth-order nonlinear impulsive singular integro-differential equations in Banach spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 9, 2008, Pages 2727-2740

  Guo, Dajun ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Completely continuous operator; Cone and partial ordering; Impulsive singular integro differential equation; Measure of noncompactness; Schauder fixed point theorem

Indexed keywords

NUMERICAL METHODS; PROBLEM SOLVING;

PARTIAL ORDERING; SCHAUDER FIXED POINT THEOREM;

DIFFERENTIAL EQUATIONS;

EID: 39749103794     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.02.019     Document Type: Article

References (8)

1. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of Impulsive Differential Equations (1989), World Scientific, Singapore
2. Guo D. Existence of solutions for nth order impulsive integro-differential equations in a Banach space. Nonlinear Anal. 47 (2001) 741-752
3. Guo D. A class of nth-order impulsive integro-differential equations in Banach spaces. Computers Math. Appl. 44 (2002) 1339-1356
4. Guo D. Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space. Nonlinear Anal. 56 (2004) 985-1006
5. Guo D. Multiple positive solutions for nth-order impulsive integro-differential equations in Banach spaces. Nonlinear Anal. 60 (2005) 955-976
6. Guo D. Extremal solutions for nth-order impulsive integro-differential equations on the half-line in Banach spaces. Nonlinear Anal. 65 (2006) 677-696
7. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, Inc., Boston
8. Guo D., Lakshmikantham V., and Liu X.Z. Nonlinear Integral Equations in Abstract Spaces (1996), Kluwer Academic Publishers, Dordrecht