Doubly nonlinear periodic problems with unbounded operators

被引:8
作者
Aizicovici, S [1 ]
Hokkanen, VM
机构
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
[2] Univ Jyvaskyla, Dept Math & Stat, FIN-40014 Jyvaskyla, Finland
关键词
nonlinear evolution systems; maximal monotone operator;
D O I
10.1016/j.jmaa.2003.12.039
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The solvability of the evolution system v'(t) + B(t)u(t) f (t), v(t) is an element of A(t)u(t), 0 < t < T, with the periodic condition v(O) = v (T) is investigated in the case where A(t) are bounded, possibly degenerate, subdifferentials and B(t) are unbounded subdifferentials. (C) 2004 Published by Elsevier Inc.
引用
收藏
页码:540 / 557
页数:18
相关论文
共 14 条
[1]  
AIZICOVICI S, IN PRESS NONLINEAR A
[2]  
Aizicovici S, 1993, FUNKC EKVACIOJ-SER I, V36, P479
[3]  
Barbu V., 1976, NONLINEAR SEMIGROUPS
[4]  
BARBU V, 1986, PRECUPANU CONVEXITY
[5]  
BREZIS H., 1973, North-Holland Math. Stud., V5
[6]   IMPLICIT DEGENERATE EVOLUTION-EQUATIONS AND APPLICATIONS [J].
DIBENEDETTO, E ;
SHOWALTER, RE .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (05) :731-751
[7]  
Ekeland I., 1974, Analyse Convexe et Problemes Variationnels
[9]   AN IMPLICIT NONLINEAR TIME-DEPENDENT EQUATION HAS A SOLUTION [J].
HOKKANEN, VM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 161 (01) :117-141
[10]  
HOKKANEN VM, 1996, DIFFERENTIAL INTEGRA, V9, P745