Previous |  Up |  Next

Article

Keywords:
singular; four-point; positive solution; $p$-Laplacian
Summary:

References:
[1] Agarwal, R. P., O'Regan, D.: Nonlinear superlinear singular and nonsingular second order boundary value problems. J. Differ. Equations 143 (1998), 60-95. MR 1604959 | Zbl 0902.34015
[2] Agarwal, R. P., O'Regan, D.: Existence theory for single and multiple solutions to singular positone boundary value problems. J. Differ. Equations 175 (2001), 393-414. MR 1855974 | Zbl 0999.34018
[3] Agarwal, R. P., O'Regan, D.: Twin solutions to singular Dirichlet problems. J. Math. Anal. Appl. 240 (1999), 433-445. MR 1731655 | Zbl 0946.34022
[4] Jiang, D., Chu, J., Zhang, M.: Multiplicity of positive periodic solutions to superlinear repulsive singular equations. J. Differ. Equations 211 (2005), 282-302. MR 2125544 | Zbl 1074.34048
[5] Ha, K., Lee, Y.: Existence of multiple positive solutions of singular boundary value problems. Nonlinear Anal. 28 (1997), 1429-1438. MR 1428660 | Zbl 0874.34016
[6] Khan, R. A.: Positive solutions of four-point singular boundary value problems. Appl. Math. Comput. 201 (2008), 762-773. MR 2431973 | Zbl 1152.34016
[7] Lan, K., Webb, J. L.: Positive solutions of semilinear differential equations with singularities. J. Differ. Equations 148 (1998), 407-421. MR 1643199 | Zbl 0909.34013
[8] Liu, Y., Qi, A.: Positive solutions of nonlinear singular boundary value problem in abstract space. Comput. Math. Appl. 47 (2004), 683-688. MR 2051339 | Zbl 1070.34079
[9] Liu, B., Liu, L., Wu, Y.: Positive solutions for singular second order three-point boundary value problems. Nonlinear Anal. 66 (2007), 2756-2766. MR 2311636 | Zbl 1117.34021
[10] Ma, D., Han, J., Chen, X.: Positive solution of three-point boundary value problem for the one-dimensional $p$-Laplacian with singularities. J. Math. Anal. Appl. 324 (2006), 118-133. MR 2262460 | Zbl 1110.34016
[11] Ma, D., Ge, W.: Positive solution of multi-point boundary value problem for the one-dimensional $p$-Laplacian with singularities. Rocky Mountain J. Math. 137 (2007), 1229-1249. MR 2360295 | Zbl 1139.34018
[12] Ma, D., Ge, W.: The existence of positive solution of multi-point boundary value problem for the one-dimensional $p$-Laplacian with singularities. Acta Mech. Sinica (Beijing) 48 (2005), 1079-1088. MR 2205048 | Zbl 1124.34308
[13] Rachůnková, I., Staněk, S., Tvrdý, M.: Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations. In: Handbook of Differential Equations. Ordinary Differential Equations, Vol. 3 A. Cañada, P. Drábek, A. Fonda Elsevier (2006), 607-723. MR 2457638
[14] Wei, Z., Pang, C.: Positive solutions of some singular $m$-point boundary value problems at non-resonance. Appl. Math. Comput. 171 (2005), 433-449. MR 2192885 | Zbl 1085.34017
[15] Xu, X.: Positive solutions for singular $m$-point boundary value problems with positive parameter. J. Math. Anal. Appl. 291 (2004), 352-367. MR 2034079 | Zbl 1047.34016
[16] Zhang, X., Liu, L.: Eigenvalue of fourth-order $m$-point boundary value problem with derivatives. Comput. Math. Appl. 56 (2008), 172-185. MR 2427696 | Zbl 1145.34315
[17] Zhang, X., Liu, L.: Positive solutions of fourth-order four-point boundary value problems with $p$-Laplacian operator. J. Math. Anal. Appl. 336 (2007), 1414-1423. MR 2353024 | Zbl 1125.34018
Partner of
EuDML logo