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

[41] CONTINUOUS DEPENDENCE OF SOLUTIONS OF COUPLED SYSTEMS OF STATE DEPENDENT FUNCTIONAL EQUATIONS
Hashem, H. H. G.
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2020, 22 (02): : 121 - 135
[42] Parameter dependence of solutions of partial differential equations in spaces of real analytic functions
Bonet, J
Domanski, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (02) : 495 - 503
[43] REAL ANALYTIC PARAMETER DEPENDENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS OVER ROUMIEU CLASSES
Domanski, Pawel
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2011, 44 (01) : 79 - 109
[44] ON THE CONTINUOUS DEPENDENCE OF SOLUTIONS OF NONLINEAR EQUATIONS
FECKAN, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (02) : 578 - 596
[45] On continuous dependence of solutions of dynamic equations
Cichon, Mieczyslaw
Yantir, Ahmet
APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 : 473 - 483
[46] CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS ON THE INITIAL CONDITIONS AND BARRIER CURVES
K.G.Dishlieva
Acta Mathematica Scientia, 2012, 32 (03) : 1035 - 1052
[47] Continuous dependence and uniform stability of solutions of impulsive differential equations on impulsive moments
Angelova, J
Dishliev, A
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (05) : 825 - 835
[48] Continuous dependence on data for solutions of second order differential equations in Hilbert spaces
Apreutesei, NC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (01) : 108 - 120
[49] Continuous dependence and uniform stability of solutions of impulsive differential equations on impulsive moments
Higher Inst of Chemical Technology, Sofia, Bulgaria
Nonlinear Anal Theory Methods Appl, 5 (825-835):
[50] CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS ON THE INITIAL CONDITIONS AND BARRIER CURVES
Dishlieva, K. G.
ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 1035 - 1052

← 1 2 3 4 5 →