Existence of three positive pseudo-symmetric solutions for a one dimensional discrete p-Laplacian

Journal of Difference Equations and Applications

Volumn 10, Issue 6, 2004, Pages 529-539

  Avery, Richard ^a   Henderson, Johnny ^b  

^a DAKOTA STATE UNIVERSITY   (United States)

^b BAYLOR UNIVERSITY   (United States)

Author keywords

Cone; Difference equations; Fixed point theorems; Multiple solutions; One dimensional p Laplacian

Indexed keywords

EID: 2642576430     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190410001667959     Document Type: Article

References (7)

1. R. I. Avery, A generalization of the Leggett-Williams fixed point theorem, MSR Hot-Line 2 (1998), 9-14.
2. R. I. Avery and J. Henderson, Three symmetric positive solutions for a second order boundary value problem, Appl. Math. Lett. 13 (2000), 1-7.
3. R. I. Avery and J. Henderson, Three symmetric positive solutions for a one dimensional p-Laplacian, J. Math. Anal. Appl. 277 (2003), 395-404.
4. D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988.
5. X.-M. He and W.-G. Ge, A remark on some three-point boundary value problems for the one-dimensional p-Laplacian, Z. Angew. Math. Mech. 82 (2002), 728-731.
6. J. Henderson and H. B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc. Am. Math. Soc. 128 (2000), 2373-2379.
7. R. W. Leggett and L. R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana Univ. Math. J. 28 (1979), 673-688.