On uniqueness criteria for systems of ordinary differential equations

被引：25

作者：

Cid, JA ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Math Anal, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 281卷 / 01期

关键词：

uniqueness criteria; Cauchy problem; ordinary differential equations;

D O I：

10.1016/S0022-247X(03)00096-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some new uniqueness criteria for the Cauchy problem x'(t) = f (t, X (t)), x(t(0)) = x(0), based on the local equivalence with another initial value problem. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：264 / 275

页数：12

共 10 条

[1] AGRAWAL RP, 1993, UNIQUENESS NONUNIQUE
[2] DIFFERENTIAL-EQUATION X=F-X
BINDING, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 31 (02) : 183 - 199
[3] Cartan H, 1967, COURS CALCUL DIFFERE
[4] On first-order ordinary differential equations with nonnegative right-hand sides
Cid, JA
Pouso, RL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) : 1961 - 1977
[5] Hartman P, 1964, ORDINARY DIFFERENTIA
[6] KHARAZISHVILI AB, 2000, STRANGE FUNCTIONS RE
[7] LIPSCHITZ R, 1876, B SCI MATH ASTRONOM, V10, P149
[8] MAWHIN J, 1973, EQUATIONS DIFFERENTI, V1
[9] PEANO G., 1890, Mat. Ann., V37, P182, DOI DOI 10.1007/BF01200235
[10] REBELO C, 2000, MATH, V57, P415

← 1 →