Existence of Positive Solutions to Periodic Boundary Value Problems forNonlinear Ordinary Differential Systems with Sign-changing Green Function

This paper deals with the periodic boundary value problems where is a constant and in which case the associated Greens function may changes sign. The existence result of positive solutions is established by using the fixed point index theory of cone mapping.

[1]  Meirong Zhang,et al.  Multiplicity of positive periodic solutions to superlinear repulsive singular equations , 2005 .

[2]  Haiyan Wang,et al.  On the number of positive solutions of nonlinear systems , 2003 .

[3]  Zhongxin Zhang,et al.  On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations , 2003 .

[4]  Lingju Kong,et al.  Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem , 2008 .

[5]  Pedro J. Torres,et al.  Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem , 2003 .

[6]  Ravi P. Agarwal,et al.  Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces , 2003 .

[7]  D. O’Regan,et al.  Positive Periodic Solutions of Systems of Second Order Ordinary Differential Equations , 2006 .

[8]  I. Rachunková,et al.  Nonlinear systems of differential inequalities and solvability of certain boundary value problems , 2001 .

[9]  G. Guseinov,et al.  On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions , 2001 .

[10]  Ruyun Ma Nonlinear periodic boundary value problems with sign-changing Greens function , 2011 .

[11]  M. N. Nkashama,et al.  Existence of multiple solutions for some nonlinear boundary value problems , 1990 .

[12]  Leo F. Boron,et al.  Positive solutions of operator equations , 1964 .

[13]  Irena Rachůnková,et al.  Existence of Nonnegative and Nonpositive Solutions for Second Order Periodic Boundary Value Problems , 2001 .

[14]  蒋达清 ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS , 1998 .