Triple Positive Solutions of Conjugate Boundary Value Problems

Computers and Mathematics with Applications

Volumn 36, Issue 9, 1998, Pages 19-35

  Wong, P J Y ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Boundary value problems; Positive solutions

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

CONJUGATE BOUNDARY VALUE PROBLEMS; FIXED POINT THEOREMS; TRIPLE POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0032205863     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00190-4     Document Type: Article

References (10)

1. R.P. Agarwal, Boundary Value Problems for Higher Order Differential Equations, World Scientific, Singapore, (1986).
2. R.P. Agarwal, M. Bohner and P.J.Y. Wong, On eigenvalues and eigenfunctions of discrete conjugate boundary value problems (submitted).
3. R.P. Agarwal and P.J.Y. Wong, Advanced Topics in Difference Equations, Kluwer Academic, Dordrecht, (1997).
4. G.B. Gustafson, A Green's function convergence principle, with applications to computation and norm estimates, Rocky Mountain J. Math. 6, 457-492 (1976).
5. R.I. A very, Three positive solutions of a discrete second order conjugate problem, PanAmerican Math. J. (to appear).
6. P.J.Y. Wong, Positive solutions of difference equations with two-point right focal boundary conditions, J. Math. Anal. Appl. (to appear).
7. H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Review 18, 620-709 (1976).
8. R.W. Leggett and L. R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana University Math. J. 28, 673-688 (1979).
9. D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, CA, (1988).
10. P.J.Y. Wong and R.P. Agarwal, Extension of continuous and discrete inequalities due to Eloe and Henderson, Nonlinear Analysis (to appear).