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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
【摘要】 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 .
【Abstract】 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.
【关键词】 非线性;
中立型;
振动性;
正解;
不动点;
【Key words】 nonlinear; neutral type; oscillation; positive solution; fixed point;
【Key words】 nonlinear; neutral type; oscillation; positive solution; fixed point;
- 【文献出处】 四川大学学报(自然科学版) ,JOURNAL OF SICHUAN UNIVERSITY (NATURAL SCIENCE EDITION) , 编辑部邮箱 ,2000年02期
- 【分类号】O177.91
- 【被引频次】3
- 【下载频次】27