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

被引：0

作者：

Toshiharu Kawasaki

Masashi Toyoda

机构：

[1] Nihon University,College of Engineering

[2] Tamagawa University,Marine Faculty of Engineering

来源：

Journal of Inequalities and Applications | / 2013卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

下载

共 50 条

[1] Existence of positive solutions of the Cauchy problem for a second-order differential equation
Kawasaki, Toshiharu
Toyoda, Masashi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[2] Existence of solutions of a second-order impulsive differential equation
Zhiguo Luo
Jingli Xie
Guoping Chen
Advances in Difference Equations, 2014
[3] Existence of solutions of a second-order impulsive differential equation
Luo, Zhiguo
Xie, Jingli
Chen, Guoping
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[4] On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem
Periago, F
Straub, B
STUDIA MATHEMATICA, 2003, 155 (02) : 183 - 193
[5] Sharp conditions for the existence of positive solutions for a second-order singular impulsive differential equation
Zhang, Xuemei
Tian, Yafang
APPLICABLE ANALYSIS, 2022, 101 (01) : 1 - 13
[6] Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
Zhao, Zhiliang
Liang, Juhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 614 - 634
[7] ON EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A BOUNDARY VALUE PROBLEM FOR AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION
LASOTA, A
OPIAL, Z
COLLOQUIUM MATHEMATICUM, 1967, 18 : 1 - &
[8] Existence of positive solutions for a second-order ordinary differential system
Cheng, XY
Zhong, CK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (01) : 14 - 23
[9] Existence and multiplicity of positive solutions for second-order differential systems
Xu, Housheng
Zhang, Tongshan
Ma, Guangtao
Zhang, Qingling
Shenyang Jianzhu Daxue Xuebao (Ziran Kexue Ban)/Journal of Shenyang Jianzhu University (Natural Science), 2007, 23 (06): : 1053 - 1056
[10] Cauchy Problem for a Second-Order Ordinary Differential Equation with a Continual Derivative
Efendiev, B. I.
DIFFERENTIAL EQUATIONS, 2011, 47 (09) : 1378 - 1383

← 1 2 3 4 5 →