| 1. | Functional inequalities for fractional powers of positive definite self - adjoint operators
正定自伴算子分数幂的泛函不等式 |
| 2. | Adjoint operators of densely defined module homomorphisms on complete random inner product modules
完备随机内积模上稠定模同态的共轭算子 |
| 3. | About dirac eigenvalue problem with general two points " liner algebra , corresponding operator of which often is non - self - adjoint operator
对于一般两点线性(代数)边界条件下的dirac特征值问题，相应的算子一般说是非自伴的。 |
| 4. | The theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities . we give the computing results of maple programs by using the adjoint operator method
利用共轭算子法和逐项消去法等规范形理论研究了含有三次非线性项的四维系统的规范形，给出了利用maple符号推导程序所得到的计算结果。 |
| 5. | First we consider the spectral properties of the operator corresponding to this system and obtain that all points on the imaginary axis except for zero belong to resolvent set of the operator , zero is an eigenvalue of the operator and its adjoint operator with geometric multiplicity one
先讨论了对应于该系统的主算子的谱特征并且得到了在虚轴上除了0点外其它所有点都属于该主算子的豫解集， 0是该主算子及其共轭算子几何重数为1的特征值。 |
| 6. | The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points . for the expansion theorem of non - self - adjoint dirac operator , it is unable to use the method of integral equation . but under the linear boundary condition and unlocal boundary condition , the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method
对于非自伴dirac算子的特征展开定理已无法应用积分方程的方法，本文仍用留数方法对一个两点非自伴边界条件和一个非局部边界条件下产生的非自伴算子的特征展开问题进行了讨论，分别得到了它们的特征展开定理。 |
| 7. | The second case is 1 / 2 subharmonic resonance - principal parametric resonance and 1 : 1 internal resonance . the final case is primary resonance for the second mode - principal parametric resonance and 1 : 2 internal resonance . the adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities
第一种共振情况是主共振-主参数共振和1 ： 1内共振的情形；第二种共振情况是1 2亚谐共振-主参数共振和1 ： 1内共振的情形；第三种共振情况是第二模态主共振-主参数共振和1 ： 2内共振的情形。 |
