摘要
利用Lebesgue控制收敛定理,研究下列高阶非线性中立时滞微分方程[x(t)-pxα(t-τ)](n)+(-1)n+1∑k的非振动解的存在性,并获得了相应非振动解的迭代逼近序列.
Using the lebesgue′s dominated convergence theorem,the existence of nonoscillatory solutions for a class of higher order nolinear neutral delay differential equation is obtained.In addition,the iterative approximation sequences of corresponding nonoscillatory solutions are obtained.
出处
《太原师范学院学报（自然科学版）》
2010年第3期6-8,共3页
Journal of Taiyuan Normal University:Natural Science Edition
基金
数学天元基金(10826080)
山西省青年科技基金(2009021001-1)
关键词
中立型时滞微分方程
非振动解
控制收敛定理
neutral differential equation
nonoscillatory solution
dominated convergence theorem
