一类系数中含有指数函数和幂函数的J-自伴微分算子谱的离散性  

On the Discrete Spectrum of a Class of J-self-adjoint Differential Operator of Coefficient Contains Exponential Function and Power Function

作　　者：王永乐[1] 王万义[1] 李委[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《数学的实践与认识》2013年第23期255-261,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361039)

摘　　要：运用算子直和分解法和二次型比较法研究了由2n阶复系数中含有指数函数和幂函数的微分算式所生成的J-自伴微分算子谱的离散性,得到了一类系数中含有指数函数和幂函数的J-自伴微分算子谱是离散的若干充分条件.In this paper, we use the method of direct sum position of operators and quadratic form comparison to discuss the discrete spectrum of J-self-adjoint differential operator of co- efficient contains exponential function and power function that are generated by 2th order J-symmetric differential expression of coefficient contains exponential function and power function complex-valued coefficients by using the direct sum position of operators method and quadratic form comparison method.Some sufficient condition for the discrete spectrum of a class of J-self-adjoint differential operator of coefficient contains exponential function and power function are obtained.

关 键 词：J-自伴微分算子 预解算子 本质谱 离散谱 

分 类 号：O175.3[理学—数学]