Existence of three solutions to integral and discrete equations via the Leggett Williams fixed point theorem

Rocky Mountain Journal of Mathematics

Volumn 31, Issue 1, 2001, Pages 23-35

  Agarwal, Ravi P ^a   O’regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035531021     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1008959665     Document Type: Article

References (9)

1. R.P. Agarwal and D. O’Regan, Lidstone continuous and discrete boundary value problems, Mem. Differential Equations Math. Phys. 19 (2000), 107-125.
2. R.P. Agarwal and D. O’regan, Multiple solutions for higher order difference equations, Comput. And Math. Appl. 37(9) (1999), 39-48.
3. R.P. Agarwal, D. O’regan and P.J.Y. Wong, Positive solutions of differential, difference and integral equations, Kluwer Acad. Publ., Dordrecht, 1999.
4. D. Anderson, R.I. Avery and A.C. Peterson, Three positive solutions to a discrete focal boundary value problem, J. Comput. Appl. Math. 88 (1998), 103-118.
5. D. Guo and V. Lakshmikantham, Nonlinear problems in abstract cones, Academic Press, San Diego, 1988.
6. 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.
7. D. O’regan and M. Meehan, Existence theory for nonlinear integral and integrodifferential equations, Kluwer Acad. Publ., Dordrecht, 1998.
8. P.J.Y. Wong and R.P. Agarwal, Criteria for multiple solutions of difference and partial difference equations subject to multipoint conjugate conditions, Nonlinear Anal. 40 (2000), 629-661.
9. P.J.Y. Wong and R.P. Agarwal, Results and estimates on multiple solutions of Lidstone boundary value problems, Acta Math. Hungar. 86 (2000), 137-168.