| 正则和奇异自共轭微分算子的变分公式化(英文) |
| |
| 作者姓名： | M.A.El-Gebeily |
| |
| 作者单位： | Mathematical Sciences Dept.，King Fahd University of Petroleum and Minerals. Dhahran 31261，Saudi Arabia |
| |
| 摘 要： | 1 IntroductionVariational methods offer an appealing approach to the analysis and com-putations associated with symmetric differential equations because they areclose1y connected to the under1ying physica1 principle of energy. Such methodshave been used to obtain the existence and uniqueness results, to investigateproperties of solutions 2], I61, 5], I7], and to compute solutions as welI as ei-genvalues 11, 41 fOr linear and nonlinear equations. The first step in applyinga variational me…
|
A VARIATIONAL FORMULATION FOR REGULAR AND SINGULAR SELF-ADJOINT DIFFERENTIAL OPERATORS |
| |
| M.A.El-Gebeily.A VARIATIONAL FORMULATION FOR REGULAR AND SINGULAR SELF-ADJOINT DIFFERENTIAL OPERATORS[J].微分方程年刊(英文版),2002(1). |
| |
| Authors: | MAEl-Gebeily |
| |
| Abstract: | A variational formulation for regular and singular symmetric second order differen- tial operators is obtained under very general conditions on the data of the problem. The variational form obtained is equivalent to the general self-adjoint realization of the differential operator. Two new properties of certain operators associated with the problem are also discovered. |
| |
| Keywords: | singular differential operators self-adjoint operators variational for-mulation |
| 本文献已被 CNKI 等数据库收录！ |
