云南大学学报(自然科学版)
雲南大學學報(自然科學版)
운남대학학보(자연과학판)
JOURNAL OF YUNNAN UNIVERSITY(NATURAL SCIENCES)
2002年
3期
161-163,166
,共4页
单调解%非线性%时滞微分方程%判据%比较定理
單調解%非線性%時滯微分方程%判據%比較定理
단조해%비선성%시체미분방정%판거%비교정리
monotone solution%nonlinear%delay differential equation%existence criteria%comparison theorem
运用黎卡提变换研究了一类非线性时滞微分方程,得到了它的单调解存在性的充要条件,并应用这些条件获得了这类方程单调解存在性的几个判据与比较定理.
運用黎卡提變換研究瞭一類非線性時滯微分方程,得到瞭它的單調解存在性的充要條件,併應用這些條件穫得瞭這類方程單調解存在性的幾箇判據與比較定理.
운용려잡제변환연구료일류비선성시체미분방정,득도료타적단조해존재성적충요조건,병응용저사조건획득료저류방정단조해존재성적궤개판거여비교정리.
By means of a Riccati-type transformation, a class of nonlinear delay differential equation is investigated and necessary and sufficient conditions are obtained for the existence of monotone solution of a nonlinear delay differential equation. As application, several existence criteria and comparison theorems are derived.
