REFERENCES
[1] R.P. Agarwal, On fourth-order boundary value problems arising in beam analysis,
Differential Integral Equations, 26 (1989), 91-110.
[2] R.P. Agarwal and D. O’Regan, Multiplicity results for singular conjugate, focal
and (N, P) problems, J. Differential Equations, 170 (2001), 142-156.
[3] J. Chu and D. Jiang, Eigenvalues and discrete boundary value problems for
the one-dimensional p-Laplacian, J. Math. Anal. Appl., 305 (2005), 452-465.
[4] J. Chu and Z. Zhou, Positive solutions and eigenvalues of nonlocal boundary
value problems, Electron. J. Differential Equations, 86 (2005), 1-9.
[5] C. De Coster, and C. Fabry, F. Munyamarere, Nonresonance conditions for
fourth-order nonlinear boundary value problems, Internat. J. Math. Math. Sci., 17 (1994), 725-740.
[6] M.A. Del Pino and R.F. Manasevich, Existence for a fourth-order boundary
value problem under a two-parameter nonresonance condition, Proc. Amer.
Math. Soc., 112 (1991), 81-86.
[7] L. Erbe, Eigenvalue criteria for existence of positive solutions to nonlinear
boundary value problems, Math. Comp. Modelling, 32 (2000), 529-539.
[8] Z.C. Hao and L. Debnath, On eigenvalue intervals and eigenfunctions of fourthorder
singular boundary value problems, Appl. Math. Lett., 18 (2005), 543-553.
[9] G. Infante and J.R.L. Webb, Nonzero solutions of Hammerstein integral equations
with discontinuous kernels, J. Math. Anal. Appl., 272 (2002), 30-42.
[10] D. Jiang, J. Chu, and M. Zhang, Multiplicity of positive periodic solutions to
superlinear repulsive singular equations, J. Differential Equations, 211 (2005),
282-302.
[11] D. Jiang, H. Liu, and X. Xu, Nonresonant singular fourth-order boundary
value problems, Appl. Math. Lett., 18 (2005), 69-75.
[12] M.A. Krasnosel’skii, Positive Solutions of Operator Equations, Noordhoff,
Groningen, 1964.
[13] K.Q. Lan, Mulpiple positive solutions of semilinear differential equations with
singularities, J. London Math. Soc., 63 (2001), 690-704.
[14] Y.X. Li, Two-parameter nonresonance condition for the existence of fourthorder
boundary value problems, J. Math. Anal. Appl., 308 (2005), 121-128.
[15] R. Ma and H. Wang, On the existence of positive solutions of fourth-order
ordinary differential equations, Appl. Anal., 59 (1995), 225-231.
[16] E.L. Reiss, A.J. Callegari, and D.S. Ahluwalia, Ordinary Differential Equations
and Applications, Holt, Rinehart and Winston, 1976.
[17] P.J. Torres, Existence of one-signed periodic solutions of some second-order
differential equations via a Krasnoselskii fixed point theorem, J. Differential
Equations, 190 (2003), 643-662.
[18] B.G. Zhang and L. Kong, Positive solutions of fourth singular boundary value
problems, Nonlinear Stud., 7 (2000), 70-77.