Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 53, Issue 2, 2003, Pages 183-195

  Guo, Dajun ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Fixed point index; Integro differential equation; Multiple positive solutions; Ordered Banach space

Indexed keywords

BOUNDARY VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY;

BANACH SPACES;

NONLINEAR EQUATIONS;

EID: 0037394637     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00165-7     Document Type: Article

References (9)

1. Ambrosetti A., Brezis H., Gerami G. Combined effects of concave and convex nonlinearities in some elliptic problems. J. Funct. Anal. 122:1994;519-543.
2. Banas J., Goebel K. Measures of Noncompactness in Banach Spaces. 1980;Marcel Dekker, New York, Basel.
3. Guo D. Multiple positive solutions of impulsive nonlinear Fredholm integral equations and applications. J. Math. Anal. Appl. 173:1993;318-324.
4. Guo D. Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces. Nonlinear Anal. 41:2000;465-476.
5. Guo D. Minimal nonnegative solutions for nth order integro-differential equations in Banach spaces. Appl. Math. Comput. 113:2000;55-65.
6. Guo D., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Academic Press, Boston.
7. V. Lakshmikantham D.Guo, Liu X.Z. Nonlinear Integral Equations in Abstract Spaces. 1996;Kluwer Academic Publishers, Dordrecht.
8. Hess P. On multiple positive solutions of nonlinear elliptic eigenvalue problems. Comm. P.D.E. 6:1981;951-961.
9. Korman P., Ouyang T. Multiplicity results for two classes of boundary value problems. SIAM J. Math. Anal. 26:1995;180-189.