Fixed point theorems of Rothe and Altman types about convex-power condensing operator and application

Applied Mathematics and Computation

Volumn 214, Issue 2, 2009, Pages 618-623

  Zhang, Guowei ^a   Zhang, Tongshan ^a   Zhang, Tie ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

Convex power condensing; Fixed point; Integral boundary condition

Indexed keywords

ABSTRACT SPACE; CONVEX-POWER CONDENSING; FIXED POINT; FIXED POINT THEOREMS; INTEGRAL BOUNDARY CONDITION; INTEGRAL BOUNDARY CONDITIONS;

MATHEMATICAL OPERATORS;

BOUNDARY CONDITIONS;

EID: 67649213551     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.04.033     Document Type: Article

References (17)

1. Guo D., Lakshmikantham V., and Liu X. Nonlinear Integral Equations in Abstract Spaces (1996), Kluwer Academic Publishers, Dordrecht
2. Deimling K. Nonlinear Functional Analysis (1985), Springer-Verlag, Berlin
3. Istratescu V.I. Fixed Point Theory-An Introduction (1981), D. Reidel Publishing Company, Dordrecht
4. Sun J., and Zhang X. The fixed point theorem of convex-power condensing operator and applications to abstract semilinear evolution equations. Acta Math. Sinica 48 (2005) 339-446 (in Chinese)
5. Liu L., Guo F., Wu C., and Wu Y. Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces. J. Math. Anal. Appl. 309 (2005) 638-649
6. Taylor A.E., and Lay D.C. Introduction to Functional Analysis (1980), John Wiley and Sons Inc., New York
7. Jankowski T. Differential equations with integral boundary conditions. J. Comput. Appl. Math. 147 (2002) 1-8
8. Jankowski T. Extensions of quasilinearization method for differential equations with integral boundary conditions. Math. Comput. Model. 37 (2003) 155-165
9. Yang Z. Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions. Nonlinear Anal. TMA 68 (2008) 216-225
10. Yang Z. Existence and nonexistence results for positive solutions of an integral boundary value problem. Nonlinear Anal. TMA 65 (2006) 1489-1511
11. Yang Z. Positive solutions of a second-order integral boundary value problem. J. Math. Anal. Appl. 321 (2006) 751-765
12. Feng M., Ji D., and Ge W. Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces. J. Comput. Appl. Math. 222 (2008) 351-363
13. Feng M., Du B., and Ge W. Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian. Nonlinear Anal. 70 (2009) 3119-3126
14. Zhang X., Feng M., and Ge W. Existence result of second-order differential equations with integral boundary conditions at resonance. J. Math. Anal. Appl. 353 (2009) 311-319
15. Zhang X., Feng M., and Ge W. Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces. Nonlinear Anal. 69 (2008) 3310-3321
16. Zhang X., Feng M., and Ge W. Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions. J. Comput. Appl. Math. 222 (2008) 561-573
17. Lakshmikantham V., and Leela S. Nonlinear Differential Equations in Abstract Spaces (1981), Pegamon Press, New York