共查询到19条相似文献，搜索用时 140 毫秒
1.
张若军 《中国海洋大学学报(自然科学版)》2003,33(4):634-638
本文讨论了一类非线性二阶常微分方程 (um+ 1(x) )″+(x- 1) p(x) u′(x) =0 ;x∈ (0 ,1],m>0 ,非平凡解的存在问题 ,用非线性算子方法证明了非平凡解的存在性以及惟一性。从而使W.OKRASINSKI发表于《数学分析与应用》的论文“一类非线性常微分方程的非平凡解”中的部分结果成为本文的 1个推论。 相似文献
2.
本文研究一类奇异变系数拟线性抛物型不等式柯西问题中解在某个带参数的函数空间中的非线性Liouville定理。通过构造适当的试验函数来建立Universal估计值(不依赖于初始值),从而得到在适当的临界指数范围内非负非平凡整体弱解的非存在性结论。 相似文献
3.
本文利用对称性临界点原理,在无界的柱形区域上,得到一类带Hardy-Sobolev项的p-Laplace方程的非平凡解的存在性。所得结果推广补充了已有的结论。 相似文献
4.
该文采用化为积分方程组的方法 ,利用锥上不动点指数计算 ,在不要求非线性项 f (x,u)非负的情况下 ,证明 Hammerstein型非线性积分方程 φ(x) =∫Gκ(x,y) f (y,φ(y) ) dy非平凡解和多解存在性的一些新的结果。此结果可用来证明非线性常微分方程两点边值问题解的存在性。 相似文献
5.
《中国海洋大学学报(自然科学版)》2015,(5)
研究一类具有奇异变系数的强p-强制拟线性抛物型不等式中解的非线性Liouville定理。通过适当构造试验函数法来建立universal估计值(不依赖于初始值),从而得出在适当的临界指数范围内非负非平凡整体弱解的非存在性结论。 相似文献
6.
研究圆锥区域中变系数半线性抛物型微分不等式及其耦合不等式组的刘维尔型定理.先给出弱解的定义,再利用构造试验函数法建立不依赖于初始值的解的universal估计,最后得到非负非平凡整体弱解的在适当的临界指数范围内不存在的结论,此种方法的主要特点是不用比较原理和极值原理. 相似文献
7.
本文中,研究具有奇异势和奇异系数非局部源项的多孔介质方程柯西问题。基于试验函数法,证明了问题整体解的非存在性。 相似文献
8.
讨论了中立型差分方程Δ(xn-λxn-k) pnf(xg(n))=0的非振动解。首先证明可以根据非振动解{xn}当n→∞时的渐近性质把非振动解分成两类;其次分别给出存在这两类非振动解的充分条件;最后给出例子说明定理的应用。 相似文献
9.
研究一维全局最优化问题的确定性求解方法。运用逐次建立目标函数的线性下界函数,将不含全局最优解的子区域删除,并基于非精确搜索结合下降算法而得出非精确搜索一维全局最优化方法,使计算量减少且使迭代收敛加快。迭代结束时该算法得到一维全局最优化问题的ε－全局最优解。该方法具有有限收敛性且不需精确的局部优化过程。文中的数值实例表明该算法的有效性。 相似文献
10.
分别采用非差无电离层组合模型与非差非组合模型进行批量静态定位解算,对比两者的定位精度以及ZPD估计精度。设计并实现两种模型的并行解算方法,提高非差模型的计算效率。大网数据实验结果表明,两种模型定位精度基本一致,非差非组合ENU的3个方向平均偏差为(4.2,2.8,6.6)mm,组合模型的平均偏差为(4.0,2.8,6.3)mm,但非差非组合模型的解算更加耗时,约是组合模型计算时间的1.4倍。多核环境下,两种模型的并行解算效率均比传统串行模型得到了提高。结果表明,双核并行和四核并行的计算效率比单核串行计算均分别提高了40%和60%以上。 相似文献
11.
本文研究在圆环区域上带梯度项和完全非线性项的半线性椭圆型方程边值问题径向大解的爆破速率。在证明一些重要极限的基础上,与常微分方程分析法相结合得到了当完全非线性项满足Keller-Osserman条件,梯度项的指数范围分别在0～1和大于2时径向大解的爆破速率及在加强的条件下大解边界行为的第二次影响. 相似文献
12.
13.
14.
Karl Killian 《Marine Geodesy》2013,36(4):323-335
Let A,B,C denote three mainland‐stations whose positions are unknown. Let D,E,F denote the positions of a moving ship at three different moments of time. At any of the locations D,E,F, the three azimuths to the target‐stations A,B,C are measured. The problem is to determine from these nine measurements the mutual positions of all stations A,B,C,D,E,F up to a common shift and a change of scale. The problem was formulated by J. H. Lambert in 1765. He also specified a mathematical solution. In this paper so‐called “critical configurations”; are investigated. It is shown that there are nontrivial configurations of the six stations A to F, such that solution of the problem is not unique (critical configuration of the first kind). There is a larger set of configurations, such that the linearized problem admits of an infinity of solutions (critical configurations of the second kind). In the latter case, the original nonlinear problem may be solvable, but the solution is highly unstable with respect to perturbations of the measurements. The main result obtained is as follows. If all stations A to F are located on a second degree curve, i.e., on a conic section, then the configuration is critical, at least of the second kind. The configuration continues to be critical if arbitrarily many observations and target‐points are added which are all situated on the second‐degree curve. 相似文献
15.
The authors of the present paper have suggested an iterative scheme to calculate the nonlinear wave profiles [Jang and Kwon, 2005. Application of nonlinear iteration scheme to the nonlinear water wave problem: Stokes wave. Ocean Engineering 32, 1862–1872]. The scheme was shown to be good for estimating nonlinear wave profiles. In the study, the iterative scheme is applied to the wave-diffraction problem by a long breakwater to calculate a diffracted wave by the breakwater. The iterative solution of diffraction was compared with the linear solution of Sommerfeld, 1896. [Mathematische Theoried der Diffraction. Mathematical Annals 47, 317–374]. For a small wave slope, the two solutions were in good agreement. However, the scheme enabled us to observe the nonlinear behaviors of a beating phenomenon and of wave profile such as Stokes’ wave for a relatively large wave slope: as the wave slope becomes larger, we can examine the nonlinear wave characteristics of the actual shapes of waves, i.e., the crests are steeper and the troughs are flatter. 相似文献
16.
Within the framework of the reduced-gravity model of the ocean taking into account the effect of friction in the Rayleigh form, we study the two-dimensional problem of nonlinear motions of a subsurface front of finite width. We consider the conservation laws and the character of motion of the center-of-mass of the cross section of the front and their variations caused by the losses of energy. For fields with special structure, the problem is reduced to the solution of a system of nonlinear ordinary differential equations. It is shown that the initially geostrophic frontal current decays with time according to a power law. The deviations of the initial state of the front from the state of geostrophic balance result in the generation of superinertial oscillations of the hydrodynamic fields. 相似文献
17.
一类非线性系统次优控制的灵敏度法 总被引：1，自引：0，他引：1
本文研究一类非线性定常系统的次优控制问题。通过在系统中引入 1个灵敏度参数并将系统变量关于灵敏度参数展开 Maclaurin级数 ,使求解最优控制的非线性两点边值问题化为一族线性两点边值问题。利用截取最优控制级数的有限项求得系统的次优控制律。仿真实例表明 ,该方法对非线性系统次优控制律的设计是有效的 相似文献
18.
张新丽 《中国海洋大学学报(自然科学版)》2020,50(4):145-150
本文研究了一类具有非对称项和有界扰动项的Duffing方程。当扰动项是拟周期函数时,利用典则变换和光滑拟周期扭转映射的不变曲线定理,证明了方程任意解的有界性和拟周期解的存在性。 相似文献
19.
We solve a plane problem of linear baroclinic seiches in closed rotating basins of variable depth with two-layer density stratification.
In the long-wave approximation, we get a boundary-value problem for a system of ordinary differential equations and propose
a numerical procedure for finding internal seiches. The analytic solutions of the problem are obtained for a basin of constant
depth. The numerical analysis of seiches is performed for the distributions of depth corresponding to the zonal and meridional
sections of the Black Sea and model basins including the cases of a shelf zone and an underwater ridge. It is shown that the
baroclinic seiches become more intense in shallow-water regions and that the intense longshore currents caused by Earth’s
rotation are formed in the shelf zones and over the underwater ridges. 相似文献