ON SOLVABILITY OF SECOND-ORDER EVOLUTION INCLUSIONS WITH VOLTERRA TYPE OPERATORS

被引:0
|
作者
Perestyuk, M. O. [1 ]
Kas'yanov, P. O. [1 ]
Zadoyanchuk, N. V. [1 ]
机构
[1] Kyiv Natl Shevchenko Univ, Dept Mech & Math, UA-01033 Kiev, Ukraine
关键词
second-order evolution inclusion; Volterra type operator; pseudomonotone map;
D O I
10.18514/MMN.2008.189
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider second-order differential-operators inclusions with Volterra type operators. The problem of the existence of solutions of the Cauchy problem for the given inclusions is investigated. Important a priori estimates are obtained. An example illustrating the approach is given.
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页码:119 / 135
页数:17
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