Triple solutions to boundary value problems on time scales

Applied Mathematics Letters

Volumn 13, Issue 4, 2000, Pages 7-11

  Agarwal, R P ^a   O'Regan, D ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Differential equations on time scales; Leggett Williams Fixed Point Theorem; Multiple solutions

Indexed keywords

EID: 0039248253     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00200-1     Document Type: Article

References (13)

1. R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results in Mathematics 35, 3-22, (1999).
2. R.P. Agarwal, M. Bohner and P. Wong, Sturm-Liouville eigenvalue problems on time scales, Applied Mathematics and Computation 99, 153-166, (1999).
3. R.P. Agarwal and D. O'Regan, Nonlinear boundary value problems on time scales, Nonlinear Analysis (to appear).
4. B. Aulbach and S. Hilgar, Linear dynamic processes with inhomogeneous time scale, In Nonlinear Dynamics and Quantum Dynamical Systems, Akademie Verlag, Berlin, (1990).
5. L.H. Erbe and A. Peterson, Green's functions and comparison theorems for differential equations on measure chains, Dynamics of Continuous, Discrete and Impulsive Systems 6, 121-138, (1999).
6. L.H. Erbe and A. Peterson, Positive solutions for a nonlinear differential equation on a measure chain, Mathl. Comput. Modelling (to appear).
7. S. Hilgar, Analysis on measure chains - A unified approach to continuous and discrete calculus, Results in Mathematics 18, 18-56, (1990).
8. B. Kaymakcalan, V. Lakshmikantham and S. Sivasundaram, Dynamical Systems on Measure Chains, Kluwer Acad., Dordrecht, (1996).
9. D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, CA, (1988).
10. R.W. Leggett and L.R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana Math. J. 28, 673-688, (1979).
11. R.P. Agarwal, D. O'Regan and P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Acad., Dordrecht, (1999).
12. D. Anderson, R.I. Avery and A.C. Peterson, Three positive solutions to a discrete focal boundary value problem, J. Comput. Appl. Math. 88, 103-118, (1998).
13. P.J. Wong and R.P. Agarwal, Criteria for multiple solutions of difference and partial difference equations subject to multipoint conjugate conditions, Nonlinear Analysis (to appear).