Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian

被引：7
|
作者：
Bors, Dorota [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
ORDINARY DIFFERENTIAL EQUATIONS; BOUNDARY-VALUE-PROBLEMS; INTEGRAL FUNCTIONALS; LOWER SEMICONTINUITY; ELLIPTIC-SYSTEMS; PARAMETERS; DEPENDENCE; OPERATOR; SPACES;
D O I：
10.1155/2014/920537
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated. The application of the results to some optimal control problem is presented. The methods applied in the paper make use of the variational structure of the problem.
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页数：10
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