一类具有可积系数的四阶J-对称微分算子的本质谱  

On the essential spectrum of a class of fourth-order J-symmetry differential operator with integrable coefficients

作　　者：彭艳伟 王万义[1] 邱洁[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：《纺织高校基础科学学报》2014年第1期87-90,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10961019);内蒙古师范大学研究生科研创新基金项目(GXJJS12031)

摘　　要：利用算子直和分解的方法和二次型比较的方法,研究了一类具有可积系数的四阶J-对称微分算子的本质谱,得到了其本质谱的存在范围,并且给出了与之相对应的离散谱的存在范围.将具有可积系数的二阶J-对称微分算子的本质谱推广到四阶,使其得到更广泛的应用.最后,对于这类具有可积系数的四阶J-对称微分算子的本质谱提供了简明的实例.By using the method of direct sum decomposition for operator and quadratic comparison ,the es-sential spectrum of a class of fourth-order J-symmetric differential operator with integrable coefficients is studied .T he existent range of essential spectrum and available scope of discrete spectrum are given .In addition ,the essential spectrum of a class of second-order J-symmetric differential operator with integra-ble coefficients to fourth-order is extended .At last ,a simple example about the essential spectrum of a class of fourth-order J-symmetric differential operator with integrable coefficients is given .

关 键 词：微分算子 J-对称 本质谱 

分 类 号：O175.3[理学—数学]