Periodic boundary value problems for first order difference equations

摘要

In this paper, existence criteria for single and multiple positive solutions of some of periodic boundary value problems for first order difference equation [left{egin{array}{ll} Delta x(k)+f(k,x(k+1))=0, & kin left[ 0,Tight] , x(0)=x(T+1), & end{array}ight.] are established by using the fixed point theorem in cones. An example is also given to illustrate the main results.