高阶非线性中立型方程正解的存在性

THE EXISTENCE OF POSITIVE SOLUTIONS FOR HIGH ORDER NONLINERAR NEUTRAL DIFFERENTIAL EQUATIONS

研究方程 [x(t) - ti=1Ci(t)x(t-γi(t) ) ](n) +( -1 ) n+ 1f(t,x(t-σ1(t) ) ,… ,x(t-σm(t) ) ) =0 正解的存在性 ,并将主要结论定理应用于具体例子 .

The authors discuss the existence of positive solutions to the following equation: [x(t)-li=1C i(t)x(t-γ i(t))] (n) +(-1) n+1 f(t,x(t-σ 1(t)),…,x(t-σ m(t)))=0 The sufficient conditions are arrived for this system. The main theorem is illustrated by two examples.