Existence of positive solutions of the Cauchy problem for a second-order differential equation

被引：1

作者：

Kawasaki, Toshiharu ^{[1
]}

Toyoda, Masashi ^{[2
]}

机构：

[1] Nihon Univ, Coll Engn, Fukushima 9638642, Japan

[2] Tamagawa Univ, Marine Fac Engn, Tokyo 1948610, Japan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

Differential Equation; Banach Space; Continuous Mapping; Real Number; Integral Equation;

D O I：

10.1186/1029-242X-2013-465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the equation u"(t) = f(t, u(t), u'(t)) and prove the unique solvability of the Cauchy problem u(0) = 0, u'(0) = lambda with lambda > 0.

引用

页数：14