共查询到20条相似文献，搜索用时 102 毫秒
1.
孔庆凯 《中国海洋大学学报(自然科学版)》1990,(3)
考虑两类带有分布型超前或滞后量的方程 (Ⅰ)x'(t)=a(t)x(t)+φ, (Ⅱ)x'(t)=a(t)x(t)-φ.其中β(t)>a(t),t+a(t)→∞(t→∞),f(x)和φ(u)是满足某些条件的非线性函数。 本文给出了方程(Ⅰ)和(Ⅱ)的所有解振动的若干充分性判定定理。作为应用,我们又讨论了如下方程的振动性,并给出了相应的判定准则。 (Ⅲ)x'(t)=a(t)x(t)+φ[sum from i=1 to n a_i(t)f(x(t+τ_i(t)))], (Ⅳ)x'(t)=a(t)x(t)-φ[sum from i=1 to n a_i(t)f(x(t+τ_i(t)))] 本文的结果是张炳根的若干结果的推广。 相似文献
2.
一类非线性中立型时滞微分方程的振动性 总被引：3，自引：0，他引：3
研究了一类非线性中立型时滞微分方程(x(t)-P(t)g(x(t-τ)))′ Q(t)h(x(t-δ))=0解的振动性,其中P,Q∈C([t0,∞),R),g,h∈C(R,R),τ>0,δ≥0。通过建立这个方程与某个线性中立型微分方程的联系导出了1个较简单的振动准则。 相似文献
3.
线性时滞微分方程解的振动准则 总被引：1，自引：0，他引：1
武冬 《中国海洋大学学报(自然科学版)》2002,32(6):1023-1029
建立线性时滞微分方程x (t) ∑ni=1 pi(t) x(t- τi(t) ) =0 , t≥ to的所有解振动的新准则。当 pi(t) ,τi(t) (i=1 ,2 ,… ,n)均为常数时 ,条件是充分必要的。 相似文献
4.
姜福德 《中国海洋大学学报(自然科学版)》1987,(3)
本文研究一类二阶非线性微分方程 X+q(t)φ(X,X)+p(t)g(X)h(X)=0的解的振动性。文[1]研究了方程 X+q(t)φ(X,X)+p(t)g (X)X~α=0的解的振动性,而文[2]研究了方程 X+p(t)g(X)h(X)=0的解的振动性。本文所得的结果包含了文[1]的全部结果及文[2]的部份结果。 相似文献
5.
武冬 《中国海洋大学学报(自然科学版)》1991,(2)
讨论了一类偶数阶时滞微分方程x~(n)(t)+p(t)f(x(g(t)))=0的振动性。通过转化到一个一阶时滞微分不等式,得到了该方程的一切解振动的一个新的充分性条件。作为n=2的情况,它包含了魏俊杰最近的结果。 相似文献
6.
作者研究差分方程Δnx (t) + p (t)Δn-1x(t) + H (t,x(g(t) ) ) =0 ,其中 P∶ D→ R,H∶ D×R→ R,0≤ p (t)≤ 1,g∶ D→ D,limt→∞t∈ Dg(t) =∞ ,D={ t0 ,t0 + 1,t0 + 2 ,… } .得到保证这个方程的一切解都振动的若干充分条件 相似文献
7.
孔庆凯 《中国海洋大学学报(自然科学版)》1992,(2)
本文讨论如下时滞型微分方程解的渐近性: u~(n)+f(t,u(t_0(t)),u′τ_1(t)),…,u~(n-1)(τ_(n-1)(t)))=0, (E)其中τ_i(t)≤t,lim τi(t)=∞,i=0,1,…,n-1,且 |f(t,u_0,u_1,…,u_(n-1))|≤sum from i=0 to n-1 φ_i(t)g_i(|u|/τ_i~(n-i-1)(t))或 |f(t,u_0,u_1,…,u_(n-1))|≥sum from i=0 to n=1 ψ_i(t)h_i(|u|/τ_i~(n-i-1)(t)) 我们关心如下两个问题: (P_1)方程(E)的所有解满足u~(n-i)(t)/t~(i-1)→α_i当t→∞,且(E)有解使得α_i≠0,i=1,2,…,n-1; (P_2)对任意的多项式sum from i=1 to n-1 (k_i/i_!)t~i,方程(E)存在一个解u(t)使得u~(m)(t)-sum from i=m to n-1 (k_i/(i-m)_!)t~(i-m)→0当t→∞,m=0,1,…,m。我们得到了一些使(P_1)及(P_2)成立的充要条件和必要条件。 相似文献
8.
孔庆凯 《中国海洋大学学报(自然科学版)》1983,(1)
考虑如下的二阶方程 其中X(t,x,)是定义在域H:{0≤t< ∞,-∞0,n>0,f(t)为连续函数,f(t)≠0下讨论了方程(X)的不同类型解的渐近性态,给出了各种渐近解存在的充分必要条件。 相似文献
9.
10.
魏亚男 《中国海洋大学学报(自然科学版)》2023,(4):106-110
本文利用弯曲扭转拓扑映射的不动点定理,证明了如下结果：若a(t),b(t)是连续的T-周期函数,则小阻尼Duffing型方程x″+εx′+a(t)f(x)+b(t)g(x)=0至少存在四个调和解。 相似文献
11.
A new mathematical integral representation including five integrals about the far field wave shape function of Havelock form translating-pulsating source is obtained by performing variable substitution. Constant-phase curves and propagation wave patterns are investigated by applying stationary phase analysis method to the new representation. Some findings are summarized as follows: (1) when 0< <0.25 (where is the Strouhal number), three types of stationary phase curves corresponding to three propagation wave patterns such as fan wave pattern, inner V and outer V wave patterns, are found in the integral representation. (2) When >0.25, besides three types of wave patterns such as a ring-faning wave pattern, a fan wave pattern and an inner V wave pattern, a new one called parallel wave pattern is also found which not only exists in the integrals about the ring-fan wave and fan wave, but also in the integrals whose interval is 0, . In addition, Characteristics about these parallel waves such as mathematical expressions, existence conditions, propagation directions and wave lengths are obtained, and cancellation relationships between these parallel waves are stated, which certificates the fact that there are no parallel waves existing in the far field. 相似文献
12.
城市污水与海水混合过程中有机污染物的转移 总被引：5，自引：2，他引：5
以３种不同混合体系模拟研究了城市污水与海水混合过程中有机污染物的转移。在“污水颗粒物－过滤海水”体系中，颗粒态有机物有一定的释放，释放率约在０．０２－０．０４ｄ－１之间。释放过程可用交换平衡动力学模式描述。在“天然海水－过滤污水”和“海水－污水”给 体系中，未发现有机污染和有明显的吸附或释放。在这３种混合体系中均发现化学耗氧量（ＣＯＤ）的降解现象，降解过程符合一级动力学方程，降解速率常数在０．０４ 相似文献
13.
Claire Maraldi Mathieu Mongin Richard Coleman Laurent Testut 《Deep Sea Research Part I: Oceanographic Research Papers》2009,56(6):963-973
A unique phytoplankton bloom appears every year during the austral spring/summer in the northern Kerguelen Plateau region. The Kerguelen Ocean and Plateau compared Study (KEOPS) showed that an increase in subsurface iron coming up from the seafloor through vertical mixing was responsible for the observed increase in chlorophyll-a above the plateau. We demonstrate that the bloom pattern is not a simple increase of biomass over shallow water: it is strongly influenced by the bathymetry and its spatial extent controlled by strong currents around the plateau. Here we focus on lateral mixing process to explain the particular shape of the bloom. We use the Smagorinsky [1963. General circulation experiments with the primitive equations. I. The basic experiment. Monthly Weather Review 91 (3), 99–164] formula to estimate and map fields of lateral mixing time scales (τ) due to barotropic tidal currents, barotropic atmospheric forced currents, Ekman velocities and geostrophic velocities. Results show that short time scale mixing is strongly influenced by the tides while the other processes have minor influences. Comparisons of τ and satellite chlorophyll-a images show that the spatial pattern of the bloom seems to be delimited by a barrier of high lateral mixing that is essentially due to tides. This emphasises the role played by the tides over the Kerguelen Plateau in supplying iron to the phytoplankton and containing the horizontal shape of the bloom. This is one of the first times such a link has been demonstrated, which has implications for the study of iron advection in the ocean. 相似文献
14.
Nonlinear hydrodynamics of a twin rectangular hull under heave oscillation is analyzed using numerical methods. Two-dimensional nonlinear time-domain solutions to both inviscid and viscous problems are obtained and the results are compared with linear, inviscid frequency-domain results obtained in [26] to quantify nonlinear and viscous effects. Finite-difference methods based on boundary-fitted coordinates are used for solving the governing equations in the time domain [2]. A primitive-variables based projection method [6] is used for the viscous analysis and a mixed Eulerian–Lagrangian formulation [11] for inviscid analysis. The algorithms are validated and the order of accuracy determined by comparing the results obtained from the present algorithm with the experimental results of Vugt [22] for a heaving rectangle in the free surface. The present study on the twin-hull hydrodynamics shows that at large and non-resonant regular frequencies, and small amplitude of body oscillation, the fluid viscosity does not significantly affect the wave motion and the radiation forces. At low frequencies however the viscosity effect is found to be significant even for small amplitude of body oscillation. In particular, the hydrodynamic force obtained from the nonlinear viscous analysis is found to be closer to the linear inviscid force than the nonlinear inviscid force to the linear inviscid force, the reason for which is attributed to the wave dampening effect of viscosity. Since the wave lengths generated at smaller frequencies of oscillation are longer and therefore the waves could have a more significant effect on the dynamic pressure on the bottom of the hulls which contribute to the heave force, the correlation between the heave force and the wave elevation is found to be larger at smaller frequencies. Because of nonlinearity, the wave radiation and wave damping force remained nonzero even at and around the resonant frequencies – with the resonant frequencies as determined in [26] using linear potential flow theory. As to be expected, the nonlinear effect on the wave force is found to be significant at all frequencies for large amplitude of oscillation compared to the hull draft. The effect of viscosity on the force, by flow separation, is also found to be significant for large amplitude of body oscillation. 相似文献
15.
Sorrentino C Roy NK Chambers RC Courtenay SC Wirgin I 《Marine environmental research》2004,58(2-5):383-388
Atlantic tomcod (Microgadus tomcod) from the Hudson River (HR) are resistant at the molecular and organismic levels to the effects of exposure to dioxin-like aromatic hydrocarbon (AH) compounds, but much less so to benzo[a]pyrene (B[a]P). The aims of this study were to determine in early life-stages of tomcod exposed to B[a]P: (1) if DNA binding levels differed between fish from the HR and Miramichi River (MR), and (2) if co-exposure to chromium could modulate this genotoxic effect. After exposure to [(3)H]B[a]P alone, DNA-bound radioactivity was 5-10-fold higher in embryos and larvae of MR than HR descent. Co-exposure to chromium modulated DNA binding levels in offspring of both populations. In MR embryos, co-exposure to chromium inhibited B[a]P uptake. These results demonstrated resistance to the genotoxic effects of B[a]P in early life stages of HR tomcod at an ecologically important endpoint and suggest the ability of chromium to modulate AH-induced genotoxicity. 相似文献
16.
C. Sorrentino N. K. Roy R. C. Chambers S. C. Courtenay I. Wirgin 《Marine environmental research》2004,58(2-5):383
Atlantic tomcod (Microgadus tomcod) from the Hudson River (HR) are resistant at the molecular and organismic levels to the effects of exposure to dioxin-like aromatic hydrocarbon (AH) compounds, but much less so to benzo[a]pyrene (B[a]P). The aims of this study were to determine in early life-stages of tomcod exposed to B[a]P: (1) if DNA binding levels differed between fish from the HR and Miramichi River (MR), and (2) if co-exposure to chromium could modulate this genotoxic effect. After exposure to [3H]B[a]P alone, DNA-bound radioactivity was 5–10-fold higher in embryos and larvae of MR than HR descent. Co-exposure to chromium modulated DNA binding levels in offspring of both populations. In MR embryos, co-exposure to chromium inhibited B[a]P uptake. These results demonstrated resistance to the genotoxic effects of B[a]P in early life stages of HR tomcod at an ecologically important endpoint and suggest the ability of chromium to modulate AH-induced genotoxicity. 相似文献
17.
The Mascarene Plateau lies in the south-west Indian Ocean between the islands of Mauritius and the Seychelles Bank, and is characterised by a series of shallow banks separated by deep (>1 000 m), narrow channels. The plateau acts as an obstruction to the general ocean circulation in this region, separating the westward-flowing South Equatorial Current (SEC) into two branches downstream of the plateau. In this article, we present the results of a survey conducted along the entire Mascarene Plateau during the Northeast Monsoon, in October–November 2008. In addition, data from Argo floats were used to determine the origin of water masses entering this region. The plateau contains three gaps through which branches of the SEC are channelled. The northern, central and southern gaps receive 14.93 Sv, 14.41 Sv and 6.19 Sv, respectively. Although there are differences in water-mass properties to the west and east of the Mascarene Plateau due to mixing, the SEC acts as a sharp boundary between water masses of southern and northern Indian Ocean origin. Mixing occurs in the central gap between intermediate water masses (Red Sea Water [RSW] and Antarctic Intermediate Water [AAIW]) as well as in the upper waters (Subtropical Surface Water [STSW] and Indonesian Throughflow Water [ITW]). Through the northern gap, mixing occurs between Arabian Sea High-Salinity Water (ASHSW), ITW and Tropical Surface Water (TSW), while through the southern gap, mixing occurs between STSW and ITW. North Indian Deep Water (NIDW) is present in the region but the plateau appears to have no effect on it. 相似文献
18.
Mesoscale perturbations (with a size of 100–1000 km) of wind stress magnitude, divergence and curl in the Kuroshio Extension (KE) are observed to tightly link to those of sea surface temperature (SST), and downwind and crosswind SST gradients, respectively. Based on long-term satellite observational data, their empirical relationships are established, which are further used to represent mesoscale wind stress–SST coupling in an ocean model that is based on the Regional Oceanic Modelling Systems (ROMS). The strength of mesoscale perturbations of wind stress and SST is observed to display a consistent seasonal variability, with the maximum appeared in winter while the minimum appeared in summer. This seasonal variability characteristic is also successfully simulated by ROMS with high resolution. Through comparing two experiments with and without the mesoscale wind stress–SST coupling, it is found that the mesoscale wind stress perturbation (τ MS) has a negative feedback on SST perturbation (SSTMS). Analyses of sensitivity experiments suggest that the τ MS acts to inhibit SSTMS mainly by means of surface heat flux. The τ MS –SSTMS coupling also exerts influences on the ocean mean state and seasonal variability of SST in the KE. The effect of τ MS on the SST is distinct in autumn and winter when the mesoscale perturbations are most active. Analyses of sensitivity experiments demonstrate that the τ MS can affect the long term mean SST through either way of surface heat flux or momentum flux. 相似文献
19.
通过对水库中12个围隔两次取样的叶绿素a浓度(单位:μg/L)、化学耗氧量(单位:mg·O_2/L)和塞克透明度(单位:m)的实验数据分析,求得如下回归方程: (1)[Chla]=17.60·[SD]~(-1·86) r=-0.87 (2)[Chla]=-28.85+7.32·[COD] r=0.89 (3)[COD]=6.88·[SD]~(-0·68) r=0.91本文还对这些结果进行了讨论。 相似文献
20.
A simple indirect method for the determination of organic carbon in marine particulate matter is proposed. The recommended procedure is as follows: The dried sample is ashed at 450°C for about 24 hr. The ashed sample is put into a Teflon vessel followed by a mixed solution of nitric acid, perchloric acid and hydrofluoric acid. The vessel is sealed and allowed to stand at 150°C for 5 hr. The concentrations of Si and Al in the digested solution are determined. The organic carbon content (Cal-C, %) is calculated by the following equation: Cal-C=0.52 ([CF]–0.10 [Opal]–0.03 [A-Si]), where [CF] is the combustible fraction (%), [Opal] is the biogenic-SiO2(%), and [A-Si] is the content of aluminosilicate mineral (%). 相似文献