참고문헌
- R. P. Agarwal and D. O'Regan, Second-order boundary value problems of singular type, J. Math. Anal. Appl. 226 (1998), no. 2, 414-430 https://doi.org/10.1006/jmaa.1998.6088
- M. K. Kadalbajoo and V. K. Aggarwal, Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline, Appl. Math. Comput. 160 (2005), no. 3, 851-863 https://doi.org/10.1016/j.amc.2003.12.004
- P. Kelevedjiev, Existence of positive solutions to a singular second order boundary value problem, Nonlinear Anal. 50 (2002), no. 8, Ser. A: Theory Methods, 1107-1118 https://doi.org/10.1016/S0362-546X(01)00803-3
- C. Li and M. Cui, The exact solution for solving a class nonlinear operator equations in the reproducing kernel space, Appl. Math. Comput. 143 (2003), no. 2-3, 393-399 https://doi.org/10.1016/S0096-3003(02)00370-3
- Y. Liu and A. Qi, Positive solutions of nonlinear singular boundary value problem in abstract space, Comput. Math. Appl. 47 (2004), no. 4-5, 683-688 https://doi.org/10.1016/S0898-1221(04)90055-7
- Y. Liu and H. Yu, Existence and uniqueness of positive solution for singular boundary value problem, Comput. Math. Appl. 50 (2005), no. 1-2, 133-143 https://doi.org/10.1016/j.camwa.2005.01.022
-
R. K. Mohanty, P. L. Sachdev, and N. Jha, An O(
$h^4$ ) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems, Appl. Math. Comput. 158 (2004), no. 3, 853-868 https://doi.org/10.1016/j.amc.2003.08.145 - A. S. V. Ravi Kanth and Y. N. Reddy, Higher order finite difference method for a class of singular boundary value problems, Appl. Math. Comput. 155 (2004), no. 1, 249-258 https://doi.org/10.1016/S0096-3003(03)00774-4
- A. S. V. Ravi Kanth and Y. N. Reddy, Cubic spline for a class of singular two-point boundary value problems, Appl. Math. Comput. 170 (2005), no. 2, 733-740 https://doi.org/10.1016/j.amc.2004.12.049
- J. Wang, W. Gao, Z. Zhang, Singular nonlinear boundary value problems arising in boundary layer theory, J. Math. Anal. Appl. 233 (1999), no. 1, 246-256 https://doi.org/10.1006/jmaa.1999.6290
- X. Xu and J. Ma, A note on singular nonlinear boundary value problems, J. Math. Anal. Appl. 293 (2004), no. 1, 108-124 https://doi.org/10.1016/j.jmaa.2003.12.017
- X. Zhang and L. Liu, Positive solutions of superlinear semipositone singular Dirichlet boundary value problems, J. Math. Anal. Appl. 316 (2006), no. 2, 525-537 https://doi.org/10.1016/j.jmaa.2005.04.081
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