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

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作者
Toshiharu Kawasaki
Masashi Toyoda
机构
[1] Nihon University,College of Engineering
[2] Tamagawa University,Marine Faculty of Engineering
关键词
Differential Equation; Banach Space; Continuous Mapping; Real Number; Integral Equation;
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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)=λ with λ>0.
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