【摘要】 考虑具正负系数中立型二阶差分方程:Δ(rnΔ(xn+Rnxn-k))+pnxn-l-qnxn-б=0。其中{Rn}、{pn}、{qn}、{rn}为非负实数列,rn>0。pn=pn-qn-l+k≥0,l≥б,k、l、б为自然数,给出了方程存在正解的若干充分条件,并给出了定理的应用。更多还原

【Abstract】 This Paper is concerned with the following difference equation: Δ(rnΔ(xn+Rnxn-k))+pnxn-l-qnxn-б =0 Where {Rn},{Pn},{qn} and {rn}are positive number sequences with Pn =pn-qn-l+k≥0,l≥б,k,l,б are positive integers.Sufficient conditions for the existence of positive solutions of the equation are established.Some applications are given to illustrate the main results.更多还原