一类时滞微分方程的渐近性(英文)

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。     

微齿喜马拉雅低额溞生长及种群增长的研究

于1990年6月在哈尔滨市东北林业大学实验林场一水池中采到微齿喜马拉雅低额，根据实验结果应用生物统计学方法对它的生长和种群增长进行研究。结果表明，在不同温度条件下性成熟时间与水温的关系为，雌性（10-30℃）：h=8072t－1.313（r=0．985P＜0.01）；雄性（5－25℃）：h=1074t-0.855（r=0.9844，P＜0.01）。在20±1℃条件下，其体长增长模型为：lt=3.334-27345e－0.1117t。龄期（X）与年龄（t，d）的关系为：雌体：t=0·07l69X2＋1.3808X－l·7361；雄体：t=0.8425X2＋2.534x－l.8600。内禀增长率（rm）为0．4076。种群增长呈“logistic”型，其方程式为：     

二阶微分方程解的渐近性的讨论

(一)引言 考虑如下的二阶方程 X=X（t,x,x）其中X（t,x,x）是定义在域H：{0≤t＜ ∞,-∞＜x∞＜ ∞,-∞＜x＜ ∞}上的连续函数，且满足解的存在唯一性条件和对初值的连续依赖性条件，x(t，x,x)是关于x的不减函数。     

附录B 离散谱模式统一需要的传播算子

对于一个标量场S（x,t）,应用平流方程式（）S=0 的数值方法,已经成为许多研究的课题。其目的在笛卡几坐标或其它一些离散的网格上设计一个有限差分的数值方法,使得以速度v传播的初始场模拟有最小的扩散（例如,单个网格点“δ函数”）。然而,对于更一般的辐射输送方程（）F（f,θ,x,t）=0,群速是频率f和传播方向θ的函数,如果应用谱的离散方程式的话,则把数值平流算子的扩散估计到最低是不可能的。     

四阶奇异边值问题无穷多个正解存在性的一个注记

本文考虑四阶奇异边值问题x( 4 ) =λa(t) f (t,x(t) ) ,0 相似文献   

一类概周期竞争系统的灭种问题

本文研究以下竞争模型: (S’=d(S’+dc(t))-SD(t)S-sum from i=1 to n(mi/yi)fi(s)Xi X’_i=mifi(s)Xi-Di(t)Xi i=1,2,…,n) 其中s’>b>0,D(t)(>0),Di(t)(>0)和e(t)都是概周期函数,|e(t)|<1,)D(t)dt=d.mi>0,fi(s)是连续增加函数,且fi(0)=0,fi(+∞)=1。我们得到了一系列种群由于缺少营养物质或竞争而灭种的充分条件。进一步,我们也说明了在竞争中取胜的种群将永远生存下去。 作为一个特例,对带有概周期系统的Michaelis-Menten系统,本文给出了关于种群灭种的较为简易的鉴别法。     

一阶非线性泛函方程解的振动性(英文)

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。     

0903号台风“莲花”的风结构分析

通过对0903号台风“莲花”在登陆福建晋江并沿着海岸线北上过程中的沿海自动站逐时实况风场资料的分析,研究了该台风的风结构状况,得到以下结论：（1）台风近中心最大风速预报值比实测风速偏小,台风7级风半径则比实际的偏大．（2）实测2min平均风速最大值（Vmax）总体上呈减弱趋势,与时间（t）的回归方程式为：Vmax=28．9—0．61t（n=16,r=0．78,r005=0．50）．（3）台风最大风速半径（R）呈逐渐扩大的趋势,与时间（t）的回归方程式为：R=28．28—4．98t＋0．67t。（n=16,r=0．95,r0.05=0．50）．（4）台风最大风速区位于台风后部．认识台风风结构,有助于不断地提高预报的准确性．     

重量稀释的和浓缩的标准海水的电导率同盐度和温度的函数关系

在-2℃至35℃的整个海洋温度范围和0至42‰S盐度范围内测量准确已知盐度的海水样品电导率和同温度下标准海水电导率的比值R_(s.t.o)。盐度S<35‰的海水样品是由蒸馏水准确重量稀释标准海水制备的,快速蒸发标准海水制备高盐度海水样品继而重量稀释到已经确定的<35‰S范围。推导出了非常准确地表示1～42‰S和全部温度范围内的S与R_(s.t.o)关系式,即 S=f_1(R_(s.t.o)) f_2(R_(s.o,t.)t)=sum from n=0 to 5 a_1R~(a/2) △t/(1 k△t)sum from n=0 to 5 b_nR~(n/2)式中△t=t-15℃,R=R_(s.t.o),只有第一项f_1要求15℃。也确定了温度对标准海水电导率的影响,用t的四次方程非常准确地表示温度t时的电导率的比值的r_(tt)(C_(35.t.o)/C_(35.15.o)),即:(?)_t=sum from n=0 to 4 C_nt~n 这两个方程足以满足常压下所有盐度测量。     

黄、渤海水温垂直结构数值预报方法的研究 Ⅱ.二维数值预报模式

文中根据黄、渤海区水温资料建立了无维深度η和无线温度θ_T以及相应的水温垂直剖面的相似函数θ_T=f(η).在此基础上,设:上均匀层厚度h=h(x,y,t)、表层水温T_s=T_s(x,y,t)、上均匀层以下的温度T_z=T_s(x,y,z,t)、底层温度T_H=T_H(x,y,t)、流速分量u=u(x,y,t)、v=v(x,y,t)和海面起伏ζ=ζ(x,y,t),提出了水温垂直结构的二维数值预报模式,模式的求解是用“ADI”和“HN”法进行.文中引列了预报时效为4天的试报结果,效果是令人满意的.     

Model of the post-Cenozoic evolution of the cryolithozone of the shelf of the western part of the Laptev Sea

The analysis of the structure of the cryolithozone, facies, and thicknesses of the Quaternary sediments and the results of the physicochemical mathematical modeling of the modern shelf of the western part of the Laptev Sea support the influence of the Late Pleistocene glaciations on the heat conditions and the distribution of the permafrost in the area. A ～200-m thick glacier formed under aerial conditions from atmospheric precipitation represented the metamorphosed snow cover. According to the modeling, the long-living (from 60?50 to 10?4 ky) glacier reduced the thickness of the permafrost rocks in the reviewed shelf area for 280–360 m. The Holocene marine transgression additionally decreased the thickness from 50–140 m on the inner shelf to 220–350 m on the outer shelf. The modern submarine cryolithozone 450-0 m thick is wide-spread in the studied region from the coast to the shelf boundary (isobaths of 130–140 m), where it pinches out at a distance of ～380 km from the coast at a depth of ～250 m above the sea level.     

Investigation of the mechanism of the long-term evolution of the carbon cycle in the ecosystem of the Sevastopol bay

We analyze the components of the carbon system of the Sevastopol bay waters and the balance of main sediment-forming substances using the data of field investigations in 1998–2008. The interannual variations of total inorganic carbon and the equilibrium partial pressure of carbon dioxide in the bay water are noted. An increase in the flux of carbon dioxide into the bay and in the content of organic carbon in bottom sediments is revealed, and an explanation of this phenomenon is given. The priority accumulation of organic carbon in the sediments of the bay is established. We assess the interannual variation in the relative abundances of organic and inorganic carbon as an index of the carbon cycle stability.     

Contemporary state of the investigation of the influence of the discharge of rivers on the hydrologic structure of the Black Sea

We generalize and analyze the state of investigations of the influence of river waters on the hydrologic structure of the Black Sea. Specific features of the water, regime and hydrography of rivers flowing into the sea, data on the discharge of rivers, and intrayear and interyear variability of the discharge are presented. We discuss and analyze works studying the transformation of river waters, routes of desalinized sea waters, and their influence on the thermohaline structure and dynamic regime of the sea. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

双壳贝类血淋巴中儿茶酚胺的检测方法初步研究

研究的目的是探索一种检测双壳贝类血淋巴中儿茶酚胺含量的方法。以栉孔扇贝(Chlamysfarreri)和长牡蛎(Crassostreagigas)为实验对象,研究了取样、抗氧化剂、氧化铝用量以及Tris缓冲液用量等对实验结果的影响。结果表明,高效液相色谱电化学检测器法(HPLC-ECD)可以灵敏高效地对双壳贝类血淋巴中儿茶酚胺进行定性、定量检测。实验表明,取样时间最长不超过1.5min;还原性谷胱甘肽作抗氧化剂效果较好;前处理各试剂与血样量的最适配比为血样量1.5mL,Tris缓冲液(1.5mol/L,pH8.6)1mL和氧化铝25mg;水洗后离心并尽可能吸干氧化铝中的水分。去甲肾上腺素、肾上腺素和多巴胺的回收率分别为53%~69%、47%~73%和48%~56%。     

黄河入海径流对河口海域盐度影响研究

为研究黄河入海径流变化条件下河口附近海域盐度扩散特征,以更好地保护河口海域生物资源多样性,本文以黄河下游利津水文站的长序列实测径流数据资料为基础,利用近海水动力模型FVCOM,分析径流变化对黄河口海域盐度的影响规律。结果表明：黄河口与莱州湾之间存在顺时针的环流系统,在余流作用以及涨落潮方向的影响下,黄河冲淡水长期向莱州湾扩散;丰水期黄河冲淡水几乎影响了整个莱州湾,27盐度锋可以到达莱州湾中部,27等盐线的表层包络面积为2 665.61 km²,占莱州湾的1/4左右,枯水期低盐度水只有向南扩散的趋势,27以下的低盐度水集中分布在黄河口门附近,27等盐线的表层包络面积只有199.65 km²;5月份,随着入海径流量增加,27等盐线扩散的范围、距离、方向都会发生明显变化。在对近海生物资源有迫切保护需求的情景下,适当减少其他用水户供水量以增加入海生态径流量,可以有效改善黄河口海域附近的盐度情况,为生物资源的生长繁殖创造良好条件。     

Modelling of the ecosystem of the Black-Sea shelf zone near the estuary of the Danube

We analyze the results of numerical calculations performed according to the three-dimensional interdisciplinary model of an ecological system of the Black-Sea shelf zone near the estuary of the Danube. The complete system of equations of hydrothermodynamics is solved together with transport equations of the advection-diffusion-reaction type used to describe the transformation of a substance (nitrogen) between the components of the characteristic vectors of the ecosystem: plankton, detritus, and biogenic elements (nitrates). We describe the distinctive features of the circumcontinental distribution of components obtained as a result of numerical experiments and present arguments for the conclusion that the ecosystem of the Danube estuary water area plays the role of a buffer zone between the press of the Danubian biogenic pollutions and the neighbouring areas of the shelf zone and open sea. Translated by Peter V. Malyshev and Dmitry V. Malyshev     

The influence of the bottom contour on the deformed state of the ice cover due to the motion of the submarine

The authors have previously determined that the effectiveness and failure pattern of the ice cover caused by flexural-gravity waves generated by a submerged body motion near the bottom ice can greatly depend on the depth of the water area. In its turn, the presence of a ledge on the ice surface may affect a wave propagation pattern. This paper presents an experimental study of the bottom contour influence on the deflection and length of flexural-gravity waves. The authors describe a numerical model for the analysis of the deformed state of ice caused by hydrodynamic loads due to a submarine motion, taking into account the bottom contour. The experiments are carried out in the ice tank. The results of calculations and experiments are compared.     

Relationship between the path of the Kuroshio in the south of Japan and the path of the Kuroshio Extension in the east

A relationship between paths of the Kuroshio and Kuroshio Extension (KE) is investigated, using the satellite-derived altimetry dataset of 1993–2008. When the Kuroshio takes the nearshore nonlarge meander path or typical large meander path and resultantly goes through the deeper channel (about 2500 m) of the Izu-Ogasawara Ridge, the KE path adopts a relatively stable state with the two quasi-stationary meanders. On the other hand, when the Kuroshio takes the offshore nonlarge meander path and then passes over the shallower part of the Ridge (about 1000 m), the KE path tends to be convoluted, i.e., an unstable state.     

Dynamics of the ice cover and peculiarities of the ice transportation of the sediments at the tidal flats of the Kandalaksha Gulf of the White Sea

Ten years of semistationary studies of the interaction of the ice cover and the coastal relief of the Kandalakhsa Gulf in the White Sea allowed us to reveal the peculiarities of these processes in the warm and cold years and the mechanisms of the origination of ice forms, including ice tents, which govern the character of the tidal flats. Three dynamic fast ice zones are distinguished by their geomorphological location, morphology, and ice dynamics. The dependence of the mechanisms and volumes of the enrichment of the fast ice in the sediments on the coastal zone??s relief was established. At the coast of the Kindo Peninsula (Velikaya Salma Strait), the ice mostly contains fine-sandy sediments. Coarser sediments, including boulders, are occasional and frozen into the ice at the contact of the fast ice and the bottom. At the expense of the ice??s spreading by 4?C6 times in the warm years and 2?C4 times in the cold years, several thousand tons of sediments mostly from the tidal flat??s surface (100?C700 m³ from 1 km of coast in the wide tidal flats and <50 m³ on the steep coasts) are delivered to the water area.     

北黄海海域大气湍流强度特征及风速标准差相似性分析

根据国家海洋局"908"专项北黄海海区海洋气象观测资料,计算了2007～2008年间该海区4个不同季节的大气湍流强度并与其他海区及陆地下垫面大气湍流值相比较.北黄海海区大气湍流强度量级为10-2,比陆地下垫面大气湍流强度低一个量级.由于海洋的特殊性质,对秋季大气湍流强度日变化的分析发现,在大气湍流强度的影响因素中,海洋的热力作用相对较大.对水平方向风速标准差是否满足Monin-Obukhov相似关系进行了探讨,数据显示,在不稳定层结下冬季水平方向无量纲风速标准差与Z/L的关系,基本满足1/3次方律.秋冬在不稳定层结下垂直方向风速标准差满足Monin-Obukhov相似理论.