Eigenvalues of a system of Fredholm integral equations

Mathematical and Computer Modelling

Volumn 39, Issue 9-10, 2004, Pages 1113-1150

  Agarwal, R P ^a   O'Regan, D ^b   Wong, Patricia J Y ^c  

^a FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c Sch Elec Electron Eng   (Singapore)

Author keywords

Boundary value problems; Constant sign solutions; Eigenvalues; System of Fredholm integral equations

Indexed keywords

EID: 3543106806     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(04)90536-5     Document Type: Article

References (26)

1. Agarwal R.P., Meehan M., O'Regan D. Nonlinear Integral Equations and Inclusions. 2001;Nova Science Publishers, Hungtington, NY
2. Meehan M., O'Regan D. Positive solutions of singular and nonsingular Fredholm integral equations. J. Math. Anal. Appl. 240:1999;416-432
3. Meehan M., O'Regan D. Multiple nonnegative solutions of nonlinear integral equations on compact and semi-infinite intervals. Applicable Analysis. 74:2000;413-427
4. Erbe L.H., Hu S., Wang H. Multiple positive solutions of some boundary value problems. J. Math. Anal. Appl. 184:1994;640-648
5. Erbe L.H., Wang H. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc. 120:1994;743-748
6. Lian W., Wong F., Yeh C. On the existence of positive solutions of nonlinear second order differential equations. Proc. Amer. Math. Soc. 124:1996;1117-1126
7. Agarwal R.P., O'Regan D., Wong P.J.Y. Constant-sign solutions of a system of Fredholm integral equations. Acta Applicandae Mathematicae. 80:2004;57-94
8. Agarwal R.P., O'Regan D., Wong P.J.Y. Positive Solutions of Differential, Difference and Integral Equations. 1999;Kluwer, Dordrecht
9. Agarwal R.P., Wong P.J.Y. Advanced Topics in Difference Equations. 1997;Kluwer, Dordrecht
10. Krasnosel'skii M.A. Positive Solutions of Operator Equations. 1964;Noordhoff, Groningen
11. O'Regan D., Meehan M. Existence Theory for Nonlinear Integral and Integrodifferential Equations. 1998;Kluwer, Dordrecht
12. Agarwal R.P., Bohner M., Wong P.J.Y. Positive solutions and eigenvalues of conjugate boundary value problems. Proc. Edinburgh Math. Soc. (Series 2). 42:1999;349-374
13. Eloe P.W., Henderson J. Positive solutions and nonlinear multipoint conjugate eigenvalue problems. Elec. J. Diff. Eqns. 3:1997;1-11
14. Eloe P.W., Henderson J. Positive solutions and nonlinear (k, n - k) conjugate eigenvalue problems. Diff. Eqns. Dyn. Sys. 6:1998;309-317
15. Wong P.J.Y., Agarwal R.P. On eigenvalues and twin positive solutions of (n,p) boundary value problems. Functional Differential Equations. 4:1997;443-476
16. Wong P.J.Y., Agarwal R.P. Eigenvalue characterization for (n,p) boundary value problems. J. Australian Math. Soc. (Series B). 39:1998;386-407
17. Wong P.J.Y., Agarwal R.P. Eigenvalues of Lidstone boundary value problems. Applied Mathematics and Computation. 104:1999;15-31
18. Wong P.J.Y., Agarwal R.P. On two-point right focal eigenvalue problems. Zeitschrift für Analysis und ihre Anwendungen. 17:1998;691-713
19. Wong P.J.Y., Agarwal R.P. Extension of continuous and discrete inequalities due to Eloe and Henderson. Nonlinear Analysis: Theory, Methods and Applications. 34:1998;479-487
20. Wong P.J.Y. Sharp inequalities for solutions of multipoint boundary value problems. Mathl. Ineq. Applic. 3:2000;79-88
21. Wong P.J.Y., Agarwal R.P. Generalized multipoint conjugate eigenvalue problems. Mathl. Comput. Modelling. 32:(5/6):2000;733-745
22. Jiang D., Liu H. Existence of positive solutions to second order Neumann boundary value problems. J. Math. Research & Exposition. 20:2000;360-364
23. Wong P.J.Y. Solutions of constant signs of a system of Sturm-Liouville boundary value problems. Mathl. Comput. Modelling. 29:(9):1999;27-38
24. Wong P.J.Y., Agarwal R.P. Eigenvalues of boundary value problems for higher order differential equations. Mathematical Problems in Engineering: Theory, Methods and Applications. 2:1996;401-434
25. Wong P.J.Y., Agarwal R.P. On eigenvalue intervals and twin eigenfunctions of higher order boundary value problems. J. Comp. Appl. Math. 88:1998;15-43
26. Jiang D. On the existence of positive solutions to second order periodic boundary value problems. Mathematica Acta Scientia. 18:1998;31-35