| 两类四阶微分算子积的自伴性研究 |
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| 引用本文： | 玉林,王万义. 两类四阶微分算子积的自伴性研究[J]. 数学的实践与认识, 2014, 0(7) |
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| 作者姓名： | 玉林 王万义 |
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| 作者单位： | 内蒙古师范大学数学科学学院;包头医学院; |
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| 基金项目： | 国家自然科学基金(11361039);教育部科学技术研究重点项目(211034);内蒙古自治区自然科学基金项目(2013MS0116);内蒙古自治区高等学校科学研究项目(N10045) |
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| 摘 要： | 利用算子理论及矩阵运算方法,讨论了由两类不同的对称微分算式D~((4))+D~((2))+q_1(t)和D~((4))+q_2(t)(D=d/dt,t∈I=[a,b])生成的微分算子的积算子的自伴性,获得了积算子是自伴算子的充分必要条件.
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| 关 键 词： | 微分算子 积算子 自伴性 |
The Self-Adjointness of two Classes of 4Th-Order Differential Operators Product |
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| Abstract: | The self-adjointness of product operator L_1L_2 is investigated which operators L_i(i = 1,2) are generated by two different differential expressions D~((4) + D~((2)) +q_l(t) and D~((4))+ q_2(t)(D=d/(dt),t ε I =[a,b]) respectively.The sufficient and necessary conditions of product operator L_1L_2 which is self-adjoint are obtained with operators theory and matrix calculation method. |
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| Keywords: | differential operators product operators self-adjointness |
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