The relation between sign-changing solution and positive-negative solutions for nonlinear operator equations and its application

Acta Mathematica Scientia

Volumn 24, Issue 3, 2004, Pages 463-468

  Zhang, Kemei ^a   Sun, Jingxian ^b  

^a QUFU NORMAL UNIVERSITY   (China)

^b JIANGSU NORMAL UNIVERSITY   (China)

Author keywords

Cone; Fixed pointindex theory; Uniformly positive operator

Indexed keywords

EID: 8744261751     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30170-4     Document Type: Article

References (7)

1. Amann H. Multiple positive fixed points of asymptotically linear maps. J Func anal, 1974, 17: 174-213
2. Deimling K. Nonlinear functional analysis. New York: Springer-Verlag, 1985
3. Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach Spaces. SIAM Review, 1976, 18: 620-709
4. Guo Dajun, Lakshmikantham V. Nonlinear problems in abstract cones. Boston: Academic Press, Inc, 1988
5. Sun Jingxian. Some new fixed point theorems of increasing operators and applications. Appl Anal, 1991, 42(2): 263-274
6. Amann H. On the number of solutions of nonlinear equations in ordered banach spaces. J Func Anal, 1972, 11: 346-384
7. Zhang Kemei. The solution of nonlinear non-monotone operator equation. Acta Math Sci, 1998, 18(2): 164-168