On the asymptotic behavior of solutions of nonlinear differential systems

被引：2
作者：
Laptinskii, V. N. [1 ]
机构：
[1] Natl Acad Sci, Inst Technol Met, Mogilyov, BELARUS
来源：
DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 02期
关键词：
Unique Solution; Asymptotic Behavior; Convergent Sequence; Unique Solvability; Singular Boundary;
D O I：
10.1134/S0012266108020080
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain constructive conditions for the unique solvability of the singular problem dx/dt f (t, x), x(infinity) = 0, where f is an element of C(0,1) ([0, infinity) x R-n, R-n).
引用
收藏
页码：213 / 218
页数：6
相关论文
共 50 条
[41]   ASYMPTOTIC POWER TYPE BEHAVIOR OF SOLUTIONS TO A NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION [J].
Ahmad, Ahmad M. ;
Furati, Khaled M. ;
Tatar, Nasser-Eddine .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[42]   Asymptotic behavior of nonlinear difference systems [J].
Agarwal, RP ;
Li, WT ;
Pang, PYH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 140 (2-3) :307-316
[43]   The asymptotic behavior of solutions for a class of differential equations [J].
Konechnaya N.N. .
Journal of Mathematical Sciences, 2007, 147 (1) :6430-6434
[44]   On the Asymptotic Behavior of Solutions of Linear Differential Equations [J].
Ukrainian Mathematical Journal, 2003, 55 (4) :679-690
[45]   Asymptotic behavior of nonoscillatory solutions to n-th order nonlinear neutral differential equations [J].
Hasanbulli, Mustafa ;
Rogovchenko, Yuri V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (04) :1208-1218
[46]   Asymptotic Behavior of Solutions of Nonlinear Fractional Differential Equations with Caputo-Type Hadamard Derivatives [J].
John R. Graef ;
Said R. Grace ;
Ercan Tunç .
Fractional Calculus and Applied Analysis, 2017, 20 :71-87
[47]   ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO-TYPE HADAMARD DERIVATIVES [J].
Graef, John R. ;
Grace, Said R. ;
Tunc, Ercan .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (01) :71-87
[48]   NEW RESULTS ON ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS [J].
Omeike, Mathew Omonigho .
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2011, 35 (01) :99-109
[49]   Asymptotic behavior of weak solutions to nonlinear thermoviscoelastic systems with constant temperature boundary conditions [J].
Shang, Chanyu .
ASYMPTOTIC ANALYSIS, 2007, 55 (3-4) :229-251
[50]   Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems [J].
Lu, Dengfeng ;
Peng, Shuangjie .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (12) :8947-8978
12345