ABSTRACT NON-LINEAR VOLTERRA EQUATION

被引：11
作者：
GRIPENBERG, G [1 ]
机构：
[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 34卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/BF02760883
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence, uniqueness, regularity and dependence upon data of solutions of the abstract Volterra equation u(t)+∫ 0 t a(t-s)A(u(s))ds∈f(t), t≧0 are studied in a real Banach space. The nonlinear operator A is assumed to be m-accretive and the assumptions on the kernel a do not exclude the possibility that lim t→0+ a(t)=+∞. © 1979 Hebrew University.
引用
收藏
页码：198 / 212
页数：15
相关论文
共 50 条
[11]   ASYMPTOTIC PROPERTIES OF SOLUTIONS OF NON-LINEAR ABSTRACT VOLTERRA-EQUATIONS [J].
CLEMENT, P ;
MACCAMY, RC ;
NOHEL, JA .
JOURNAL OF INTEGRAL EQUATIONS, 1981, 3 (03) :185-216
[12]   BEHAVIOR OF MAXIMALLY DEFINED SOLUTIONS OF A NON-LINEAR VOLTERRA EQUATION [J].
HERDMAN, TL .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 67 (02) :297-302
[13]   A Walsh function method for a non-linear Volterra integral equation [J].
Sloss, BG ;
Blyth, WF .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2003, 340 (01) :25-41
[14]   AN ABSTRACT LINEAR VOLTERRA EQUATION WITH A NONCONVOLUTION KERNEL [J].
KIFFE, T .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 82 (01) :51-57
[15]   AN ABSTRACT VOLTERRA EQUATION WITH APPLICATIONS TO LINEAR VISCOELASTICITY [J].
DAFERMOS, CM .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (03) :554-&
[16]   ANALYTICITY OF THE MAXIMAL SOLUTION OF AN ABSTRACT NON-LINEAR PARABOLIC EQUATION [J].
LUNARDI, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (05) :503-521
[17]   Numerical Solution of Non-linear Volterra Integral Equation of the First Kind [J].
Tair, Boutheina ;
Ghait, Mourad ;
Guebbai, Hamza ;
Aissaoui, Mohemd Zine .
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
[18]   A NON-LINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATION DESCRIBING THE STRETCHING OF POLYMERIC LIQUIDS [J].
MARKOWICH, P ;
RENARDY, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (01) :66-97
[19]   NUMERICAL-SOLUTION OF A NON-LINEAR HYPERBOLIC VOLTERRA INTEGRODIFFERENTIAL EQUATION [J].
RENARDY, M .
JOURNAL OF RHEOLOGY, 1982, 26 (06) :613-613
[20]   NON-LINEAR VOLTERRA EQUATION OF ABELS KIND AND ITS NUMERICAL TREATMENT [J].
BRANCA, HW .
COMPUTING, 1978, 20 (04) :307-324
12345