CONTINUOUS DEPENDENCE OF SOLUTIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS ON THE SCALING PARAMETER

被引：0

作者：

Rossovskii, L. E. ^{[1
]}

机构：

[1] RUDN Univ, Dept Appl Math, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2016年 / 7卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

elliptic functional differential equations; functional differential equations with rescaling;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a functional differential equation with rescaling, we establish the Garding-type inequality uniform with respect to the scaling parameter p. This allows us to study the limit behaviour of solutions to the Dirichlet problem as p -> 1.

引用

页码：68 / 74

页数：7

共 50 条

[1] CONTINUOUS DEPENDENCE OF SOLUTIONS OF GENERALIZED LINEAR ORDINARY DIFFERENTIAL EQUATIONS ON A PARAMETER
Halas, Zdenek
MATHEMATICA BOHEMICA, 2007, 132 (02): : 205 - 218
[2] On continuous dependence of solutions of linear differential equations on a parameter in a Banach space
Fam Ngok Boi
Nguyen Tkhe Hoan
Ukrainian Mathematical Journal, 1999, 51 (2) : 311 - 318
[3] On the continuous dependence of solutions of linear systems of differential-algebraic equations on a parameter
V. F. Chistyakov
M. R. Pjescic
Differential Equations, 2009, 45 : 374 - 384
[4] On the continuous dependence of solutions of linear systems of differential-algebraic equations on a parameter
Chistyakov, V. F.
Pjescic, M. R.
DIFFERENTIAL EQUATIONS, 2009, 45 (03) : 374 - 384
[5] CONTINUOUS DEPENDENCE OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
STRAUSS, A
AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (06): : 649 - &
[6] ON THE EXISTENCE AND CONTINUOUS DEPENDENCE OF SOLUTIONS OF A CLASS OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS
PARHI, N
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (12) : 1335 - 1345
[7] UNIQUENESS AND CONTINUOUS DEPENDENCE OF THE SOLUTIONS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS AS A GENERIC PROPERTY
FAINA, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (06) : 745 - 754
[8] CONTINUOUS DEPENDENCE ON A PARAMETER OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL-EQUATIONS IN A BANACH-SPACE
BAINOV, DD
KOSTADINOV, SI
VANMINH, N
ZABREIKO, PP
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1993, 3 (04): : 477 - 483
[9] CONTINUOUS DEPENDENCE ON A PARAMETER OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL-EQUATIONS IN A BANACH-SPACE
BAINOV, DD
KOSTADINOV, SI
VANMINH, N
ZABREIKO, PP
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1993, 32 (07) : 1275 - 1280
[10] CONTINUOUS PARAMETER DEPENDENCE IN LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS
OPIAL, Z
JOURNAL OF DIFFERENTIAL EQUATIONS, 1967, 3 (04) : 571 - &

← 1 2 3 4 5 →