Existence of positive solutions for boundary-value problems of second-order delay differential equations

The paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of second-order delay differential equations. The main results in this paper extend some of the existing literature. The proofs are based on a fixed-point theorem in cones.

[1]  D. Hai,et al.  Existence results for superlinear semipositone BVP’s , 1996 .

[2]  D. Jiang,et al.  Existence of positive solutions for boundary value problems of second-order functional-differential equations. , 1998 .

[3]  Wengpeixuan.  BOUNDARY VALUE PROBLEMS FOR SECOND ORDER MIXED-TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS , 1997 .

[4]  R. Shivaji,et al.  Multiple positive solutions for a class of semilinear elliptic boundary value problems , 1999 .

[5]  Zhaoli Liu,et al.  Multiple Positive Solutions of Nonlinear Two-Point Boundary Value Problems , 1996 .

[6]  Peixuan Weng,et al.  Existence of positive solutions for boundary value problem of second-order FDE , 1999 .

[7]  Johnny Henderson,et al.  Positive Solutions for Nonlinear Eigenvalue Problems , 1997 .

[8]  Haiyan Wang,et al.  On the existence of positive solutions of ordinary differential equations , 1994 .

[9]  R. Shivaji,et al.  Positive Solutions for a Class of Nonlinear Boundary Value Problems with Neumann)Robin Boundary Conditions , 1999 .

[10]  A. M. Fink,et al.  Eigenvalues of generalized Gelfand models , 1993 .

[11]  Daqing Jiang,et al.  Multiple positive solutions for boundary value problems of second-order delay differential equations , 2002, Appl. Math. Lett..

[12]  P. Weng,et al.  Boundary value problems for second order mixed-type functional differential equations , 1997 .

[13]  A. Castro,et al.  Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities , 2000 .

[14]  K. Schmitt,et al.  Positive Solutions of Quasilinear Boundary Value Problems , 1998 .

[15]  Yong-Hoon Lee,et al.  Existence of multiple positive solutions of singular boundary value problems , 1997 .

[16]  W. Ames,et al.  Nonlinear problems in abstract cones , 1988 .

[17]  Qingkai Kong,et al.  Boundary value problems for singular second-order functional differential equations , 1994 .

[18]  D. D. Hai,et al.  An existence result on positive solutions for a class of p-Laplacian systems , 2004 .

[19]  J. Henderson,et al.  Positive solutions and nonlinear eigenvalue problems for functional differential equations , 1999 .