摘要
本文证明了线性脉冲中立型微分方程 [y(t)+p(t)y(t-τ)-r(t)y(t-ρ)]′+q(t)y(t-σ)=0,t≥0,t≠t_k, y(t_k^+)-y(t_k)=b_ky(t_k),k=1,2,…正解的存在性等价于一类非脉冲中立型方程正解的存在性,应用这一结果,建立了此类线性脉冲中立型微分方程正解存在性的若干充分条件。
In this paper, we prove that the existence of positive solutions of linear impulse neutral delay differential equations
is equivalent to that of a kind of nonimpulse neutral differential equation. By this result, some sufficient conditions of existence of positive solutions of linear impulse neutral delay differential equations are obtained.
出处
《系统科学与数学》
CSCD
北大核心
2004年第1期102-109,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
山西省自然科学基金
