Abstract Differential Equation with a Spectral Parameter in the Boundary Conditions

被引：0

作者：

Denche M. ^{[1
]}

机构：

[1] Institut de Mathematiques, Universite de Constantine, Constantine

来源：

Results in Mathematics | 1999年 / 35卷 / 3-4期

关键词：

34L10; 35J05; 35P20; 47E05; Coerciveness estimate; Interpolation Space; Nonlocal Boundary Conditions; Quasi-Elliptic Equation;

D O I：

10.1007/BF03322814

中图分类号：

学科分类号：

摘要：

In the present paper, we first establish a coerciveness estimate with respect to both the space variable and the spectral parameter of a boundary-value problem for an operator differential equation with nonlocal boundary conditions containing the spectral parameter. Then, using the coerciveness estimate, we prove that the operator generated by this problem is a Fredholm, and, moreover is an isomorphism between appropriate spaces. Finally, the results obtained are applied to a class of non local problems for a quasi-elliptic partial differential equation. © 1999, Birkhäuser Verlag, Basel.

引用

页码：216 / 227

页数：11

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