Properties of kernels and multiple positive solutions for three-point boundary value problems

Properties of kernels for a three-point boundary value problem are studied and employed to obtain some results on the existence of multiple positive solutions for the boundary value problem. These results generalize some known results.

[1]  J. Webb.  Positive solutions of some three point boundary value problems via fixed point index theory , 2001 .

[2]  J. Webb.  Remarks on positive solutions of some three point boundary value problems , 2003 .

[3]  K. Lan.  PROPERTIES OF KERNELS AND EIGENVALUES FOR THREE POINT BOUNDARY VALUE PROBLEMS , 2005 .

[4]  Kunquan Lan,et al.  Multiple Positive Solutions of Semilinear Differential Equations with Singularities , 2001 .

[5]  Ravi P. Agarwal,et al.  Positive Solutions for (p, n−p) Conjugate Boundary Value Problems , 1998 .

[6]  E. Berchio,et al.  ftp ejde.math.txstate.edu (login: ftp) SOME REMARKS ON BIHARMONIC ELLIPTIC PROBLEMS WITH POSITIVE, INCREASING AND CONVEX NONLINEARITIES , 2022 .

[7]  R. Ma,et al.  Positive solutions of a nonlinear three-point boundary-value problem. , 1999 .

[8]  K. Q. Lan,et al.  Multiple positive solutions of conjugate boundary value problems with singularities , 2004, Appl. Math. Comput..

[9]  R. Agarwal,et al.  Extension of continuous and discrete inequalities due to Eloe and Henderson , 1998 .

[10]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[11]  Ravi P. Agarwal,et al.  Multiplicity Results for Singular Conjugate, Focal, and (N, P) Problems , 2001 .

[12]  J. Henderson.  Double solutions of three-point boundary-value problems for second-order differential equations. , 2004 .

[13]  X. Shu,et al.  Multiple solutions of boundary value problem , 2006 .

[14]  Bing Liu.  Positive solutions of a nonlinear three-point boundary value problem , 2002, Appl. Math. Comput..

[15]  Weigao Ge,et al.  Triple Solutions for Second-order Three-point Boundary Value Problems , 2002 .

[16]  Ruyun Ma,et al.  Positive solutions for second-order three-point boundary value problems , 2001, Appl. Math. Lett..

[17]  Haiyan Wang,et al.  Positive solutions of nonlinear three-point boundary-value problems , 2003 .

[18]  Weigao Ge,et al.  Positive solutions for three-point boundary value problems with dependence on the first order derivative☆ , 2004 .