Positive solutions for systems of nonlinear discrete boundary value problems

Existence of eigenvalues yielding positive solutions for systems of second order discrete boundary value problems (two-point, three-point and generalized three-point) are established. The results are obtained by the use of a Guo–Krasnoselskii fixed point theorem in cones.

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

[2]  Ferhan Merdivenci,et al.  Two positive solutions of a boundary value problem for difference equations , 1995 .

[3]  Haiyan Wang,et al.  Existence and multiplicity of positive solutions for elliptic systems , 1997 .

[4]  J. Henderson,et al.  Existence of a positive solution for an nth order boundary value problem for nonlinear difference equations , 1997 .

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

[6]  Hi Jun Choe,et al.  Regularity of Solutions to the Navier-Stokes Equation , 1999 .

[7]  Ravi P. Agarwal,et al.  A coupled system of difference equations , 2000, Appl. Math. Comput..

[8]  R. Ma,et al.  Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem , 2004 .

[9]  Shijie Dong,et al.  Periodic solutions for a delayed predator-prey system with dispersal and impulses , 2005 .

[10]  Hua Luo,et al.  POSITIVE SOLUTIONS TO A GENERALIZED SECOND-ORDER THREE-POINT BOUNDARY-VALUE PROBLEM ON TIME SCALES , 2005 .

[11]  Jian-Ping Sun,et al.  Existence of positive solution for second-order nonlinear discrete system with parameter, , 2005, Math. Comput. Model..

[12]  S. Ntouyas.  Chapter 6 Nonlocal Initial and Boundary Value Problems: A Survey , 2006 .

[13]  Qiaozhen Ma.  Existence of positive solutions for the symmetry three-point boundary-value problem. , 2007 .

[14]  Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance , 2007 .

[15]  J. Henderson,et al.  Positive solutions for systems of m‐point nonlinear boundary value problems , 2008 .

[16]  J. Henderson,et al.  Positive solutions for systems of generalized three-point nonlinear boundary value problems , 2008 .