Positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence

[1] R.P. Agarwal and D.O’Regan, Existence theory for single and multiple solutions to singular positone boundary value problems, Jour. Differential Equations, 175(2001), 393-414.10.1006/jdeq.2001.3975Search in Google Scholar

[2] R.P. Agarwal and D.O’ Regan, A survey of recent results for initial and boundary value problems singular in the dependent variable, Original Re- search Article Handbook of Differential Equations: Ordinary Differential Equations, 1(2000), 1-68.Search in Google Scholar

[3] J.V. Baxley, A singular nonlinear boundary value problem: membrane response of a spherical cap, SIAM J. Appl. Math., 48(1988), 497-505.10.1137/0148028Search in Google Scholar

[4] L.E. Bobisud, J.E. Calvert and W.D. Royalty, Some existence results for singular boundary value problems, Differential Integral Equations, 6 (1993), 553-571.10.57262/die/1370378429Search in Google Scholar

[5] K. Deimling, Nonlinear functional analysis, Springer Verlag, New York, 1985.10.1007/978-3-662-00547-7Search in Google Scholar

[6] D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, 1988.Search in Google Scholar

[7] CH. P. Gupta, S. K. Ntouyas and P. CH. Tsamatos, Existence results for m-point boundary value problems, Differential Equations Dynam. Sys- tems, 2(1994), 289-298.Search in Google Scholar

[8] CH. P. Gupta and S. I. Trofimchuk, Solvability of a multi-point boundary value problem and related a priori estimates, Canad. Appl. Math. Quart., 6(1998), 45-60.Search in Google Scholar

[9] L.Hu, Positive solutions for singular boundary value problems involving integral conditions, Boundary Value Problems, 2012(2012), 1-1410.1186/1687-2770-2012-72Search in Google Scholar

[10] V.A. Il’in, E.I. Moiseev, Nonlocal boundary value problems of the first kind for a SturmCLiouville operator in its differential and finite difference aspects, Differ. Equat., 23(1987), 803-810.Search in Google Scholar

[11] V.A. Il’in, E.I. Moiseev, Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator, Differ. Equat., 23(1987), 979C987.Search in Google Scholar

[12] G. Infante and J. R. L. Webb, Positive solutions of some nonlocal boundary value problems, Abstr. Appl. Anal., 2003(2003), 1047-1060.10.1155/S1085337503301034Search in Google Scholar

[13] C. Ji, B.Yan, Positive solutions for second-order singular three-poin boundary-value problems with sign-changing nonlinearities, Electronic Journal of Differential Equations, 2010(2010), 1-9.Search in Google Scholar

[14] J. Jiang, L. Liu and Y. Wu, Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions, Abstract and Applied Analysis, 2012(2012), 1-21.Search in Google Scholar

[15] G. L. Karakostas and P. CH. Tsamatos, Existence of multiple positive solutions for a nonlocal boundary value problem, Topol. Methods Nonlinear Anal., 19(2002), 109-121.10.12775/TMNA.2002.007Search in Google Scholar

[16] G. L. Karakostas and P. CH. Tsamatos, Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems, Electron. J. Differential Equations, 2002(2002), 1-17.Search in Google Scholar

[17] R. Ma, Existence theorems for a second order m-point boundary value problem, J. Math. Anal. Appl., 211(1997), 545-555.10.1006/jmaa.1997.5416Search in Google Scholar

[18] R. Ma, Positive solutions of a nonlinear m-point boundary value problem, Comput. Math. Appl. 42(2001), 755-765.10.1016/S0898-1221(01)00195-XSearch in Google Scholar

[19] D.O’Regan, Existence theory for nonlinear ordinary differential equations, Kluwer Acad. Publ., Dordrecht, 1997.10.1007/978-94-017-1517-1Search in Google Scholar

[20] S. Taliaferro, A nonlinear singular boundary value problem, Nonlinear Analysis, 3(1979), 897-904.10.1016/0362-546X(79)90057-9Search in Google Scholar

[21] J. R. L. Webb, Optimal constants in a nonlocal boundary value problem, Nonlinear Anal., 63(2005), 672-685.10.1016/j.na.2005.02.055Search in Google Scholar

[22] J. R. L. Webb and G. Infante, Positive Solutions of Nonlocal Boundary Value Problems: A Unified Approach, Oxford Journals Mathematics & Physical Sciences Journal London Mathematical Society, 74(2006), 673-693.10.1112/S0024610706023179Search in Google Scholar

[23] J. R. L. Webb and K. Q. Lan, Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type , Topol. Methods Nonlinear Anal. 27 (2006), 91-115.Search in Google Scholar

[24] J. R. L. Webb and G. Infante, Positive solutions of nonlocal boundary value problems involving integral conditions, Nonlinear Differential Equations and Applications, 15(2008), 45-67.10.1007/s00030-007-4067-7Search in Google Scholar