Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations

被引：0

作者：

Jin Liang

James Liu

Ti-Jun Xiao

机构：

[1] University of Science and Technology of China,Department of Mathematics

[2] James Madison University,Department of Mathematics and Statistics

来源：

Journal of Inequalities and Applications | / 2007卷

关键词：

Convergence Theorem; Singular Perturbation; Integrodifferential Equation; Singular Perturbation Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results by Fattorini (1987) and Liu (1993).

引用

共 50 条

[41] NUMERICAL-METHODS FOR SINGULAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
GAREY, LE
UTILITAS MATHEMATICA, 1986, 29 : 201 - 208
[42] NOTE ON SOLUTIONS TO A CLASS OF NONLINEAR SINGULAR INTEGRODIFFERENTIAL EQUATIONS
ABLOWITZ, MJ
FOKAS, AS
KRUSKAL, MD
PHYSICS LETTERS A, 1987, 120 (05) : 215 - 218
[43] ON INTEGRAL, DIFFERENTIAL, AND INTEGRODIFFERENTIAL EQUATIONS, PERTURBATION AND AVERAGING METHODS
ADOMIAN, G
KYBERNETES, 1995, 24 (07) : 52 - &
[44] ASYMPTOTIC SOLUTION OF A SINGLE PERTURBATION SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS
SHAPIRO, DA
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1987, (02): : 130 - 130
[45] SINGULAR PERTURBATIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH-SPACE
LIU, JH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (03) : 791 - 799
[46] NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS
BURNS, JA
HERDMAN, TL
TURI, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 145 (02) : 371 - 401
[47] NUMERICAL-METHODS FOR SINGULAR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
HAIRER, E
MAASS, P
APPLIED NUMERICAL MATHEMATICS, 1987, 3 (03) : 243 - 256
[48] SOLUTIONS OF A CLASS OF NONLINEAR SINGULAR INTEGRODIFFERENTIAL EQUATIONS WITH TRANSLATION
KHUSNUTDINOV, RS
DIFFERENTIAL EQUATIONS, 1989, 25 (02) : 232 - 238
[49] METHOD OF COLLOCATION FOR A CLASS OF NONLINEAR SINGULAR INTEGRODIFFERENTIAL EQUATIONS
MELESHKO, AN
YANOVICH, LA
DIFFERENTIAL EQUATIONS, 1992, 28 (07) : 1009 - 1015
[50] SOLUBILITY OF A PARTICULAR CLASS OF SINGULAR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
YANOVICH, LA
MELESHKO, AN
DOKLADY AKADEMII NAUK BELARUSI, 1991, 35 (11): : 965 - 966

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