摘要
考虑偶数阶非线性中立型微分方程,利用Lebesgue控制收敛定理获得了最终有界正解存在的一个充分必要条件.
In this paper we consider the existence for eventually positive solutions of evenorder nonlinear neutral differential equations, We use the Lebesgue＇s dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually bounded positive solutions.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第21期213-217,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2008011002-1)
山西大同大学科研基金(2011K3)
关键词
偶数阶
中立型微分方程
非线性
最终有界正解
比较定理
even-order
neutral differential equation
nonlinear
eventually bounded and pos- itive solution
comparison theorem
