Coerciveness of functional-differential equations

被引：10

作者：

Rossovskii, LE ^{[1
]}

机构：

[1] MOSCOW INST AVIAT TECHNOL,MOSCOW,RUSSIA

来源：

MATHEMATICAL NOTES | 1996年 / 59卷 / 1-2期

关键词：

D O I：

10.1007/BF02312468

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider functional-differential equations with the Dirichlet conditions and with contraction and dilatation of the arguments. Necessary and sufficient conditions are obtained under which a Garding type inequality holds. These results allow us to verify coerciveness by using a special ''symbol'' of the equation considered.

引用

页码：75 / 82

页数：8

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[1] EXISTENCE THEORY FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS AND FUNCTIONAL-DIFFERENTIAL SYSTEMS
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[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 29 (01) : 86 - 104
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[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 22 (02) : 250 - 267
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