| 1. | Mathematical physics equa - tions printed lectures second edition in chinese
数学物理方程讲义.第2版 |
| 2. | Due to the nonlinearity of the boussinesq equa - tion , exact analytical solutions are difficult to obtain
下面将给出这个潜水面的控制方程在在某些假设条件下的解析解 |
| 3. | In this paper , we study the oscillation of the higher order differential equa tion with impulses
本文主要讨论了高阶脉冲微分方程解的振动性，得到了高阶脉冲微分方程解振动的充分条件。 |
| 4. | Because the gross - pitaevskii equa - tion , which describes bose - einstein condensation by mean - field theory , is a nonlinear schrodinger equation
由于平均场理论导致的描述玻色-爱因斯坦凝聚的gp方程是一个非线性schr ( |
| 5. | By representing the uncertain parameters as interval numbers , the governed equa tio ns of the structural system are obtained by means of the finite element method
将结构系统中的不确定性参数用区间数来表示，用有限元法建立系统的控制方程。 |
| 6. | Low - pressure , non adjustable regulators having a maximum outlet pressure of less than or equal to 200 mbar , with a capacity of less than or equa l to 4kg h , and their associated safety devices for butane , propane or t heir mixtures
用于丁烷丙烷或其混合物的容量小于或等于4kg h最大出口压力小于或等于200mbar的不可调低的调节器及其相关的安全装置 |
| 7. | In chapter three , we in - troduce the homogeneous balance method and improve some key steps in it , then by using this method we are able to obtain mul - tiple soliton solutions of some nonlinear partial differential equa - tions
第三章，讨论了利用齐次平衡法求解非线性方程孤子解的问题，并对其一个关键步骤进行改进，使其能够求解非线性方程的多孤子解。 |
| 8. | When there is nozero object in category , the generalized inverse of morphisms are studied through the equa - alizer , the necessary and sufficient conditions for generalized inverse is obtained , and the relation between the linear equation and the equalizer is presented in matrix category
当范畴不具有零对象时，以态射偶的等化子为工具讨论态射的广义逆，并在矩阵范畴中建立了齐次线性方程组的解与等化子的关系。 |
| 9. | Considering enough the property of the equa - tion , we prove existence of absorbing set of the solution in h ~ ( 1 ) by the method of changeing the higher order nonlinear term as nonnegative guadratic form and prove existence of absorbing set of the solution in h ~ ( 2 ) by the method of linear combining of energy inequality and multiform classical inequality
我们充分考虑方程的特点，将高阶非线性项化为一非负定二次型使得解在h ~ 1中的吸收集的存在性得以证明。通过能量估计的巧妙组合以及多种形式的不等式进行精细的估计以获得h “的吸收集的存在性 |
| 10. | First , in virtual of identification of flaws is a typical of in - verse problems , proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation , the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given . second , the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon . finally , indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects , meanwhile , the proof of possibility for near - field measurements and nu - merical simulation are given
由于缺陷的识别是一类典型的反问题，因而首先从时谐电磁maxwell方程和helmholz方程出发，具体地阐述了求解正散射问题的有关方法，包括各种(夹杂)边界条件下的数值解法，就解的存在性唯一性给予了肯定的回答；随后对逆散射问题的理论作了简短的回顾，包括解的唯一性以及非线性不适定积分方程的处理等；然后对均匀介质和非均匀介质的逆散射问题建立了在各种边界条件下的边界识别的指示函数方法，鉴于近场数据获得的重要性，对近场测试时边界识别的方法给予了相应的证明，并且实现了数值模拟。 |
