Countably Many Positive Solutions for Nonlinear Singular n-Point Boundary Value Problems

Abstract

In this paper, a fixed-point theorem has been used to investigate the existence of countable positive solutions of n-point boundary value problem. As an application, we also give an example to demonstrate our results.

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Li, Z. and Shang, Y. (2014) Countably Many Positive Solutions for Nonlinear Singular n-Point Boundary Value Problems. Applied Mathematics, 5, 2264-2270. doi: 10.4236/am.2014.515220.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Ma, R. (1999) Positive Solutions for a Nonlinear Three-Point Boundary Value Problem. Electronic Journal of Differential Equations, 34, 1-8.
[2] Liu, B. (2004) Positive Solutions of Nonlinear Four-Point Boundary Value Problem. Applied Mathematics and Computation, 155, 179-203.
http://dx.doi.org/10.1016/S0096-3003(03)00770-7
[3] Chen, S.H., Hu, T., Chen, L., et al. (2005) Existence Results for n-Point Boundary Value Problem of Second Order Ordinary Differential Equations. Journal of Computational and Applied Mathematics, 180, 425-432.
http://dx.doi.org/10.1016/j.cam.2004.11.010
[4] Ma, R. (2001) Existence of Solutions of Nonlinear m-Point Boundary Value Problem. Journal of Mathematical Analysis and Applications, 256, 556-567.
http://dx.doi.org/10.1006/jmaa.2000.7320
[5] Liang, S.H. and Zhang, J.H. (2008) The Existence of Countably Many Positive Solutions for One-Dimensional p-Laplacian with Infinitely Many Singularities on the Half-Line. Applied Mathematics and Computation, 201, 210-220.
http://dx.doi.org/10.1016/j.amc.2007.12.016
[6] Xu, C., He, X. and Li, P. (2011) Global Existence of Periodic Solutions in a Six-Neuron BAM Neural Network Model with Discrete Delays. Neurocomputing, 74, 3257-3267.
http://dx.doi.org/10.1016/j.neucom.2011.05.007
[7] Ren, J., Ge, W. and Ren, X. (2005) Existence of Positive Solutions for Quasi-Linear Boundary Value Problems. Acta Mathematicae Applicatae Sinica, 21, 353-358. (in Chinese)
http://dx.doi.org/10.1007/s10255-005-0242-y

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