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  nonlocal
     In this paper, we consider a third order nonlocal boundary value problem x'"(t) = f(t,x(t),x'(t),x"(t)), t ∈ (0,1), x(0) = 0, x"(0) = 0, z'(1) =(?)
     本文考虑一类三阶非局部边值问题x”’(t)=f(t,x(t),x'(t),x”(t)),t∈(0,1), x(0)=0,x''(0)=0,x'(1)=(?)
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     By using comparison principle the conditions on the global existence and finite time blow-up of nonnegative solutions are obtained for a nonlocal reaction-diffusion system:u_t-Δu=∫_Ωu m_1dx∫_Ωv n_1dx v_t-Δv=∫_Ωu m_2dx∫_Ωv n_2dx
     运用比较原理获得了一类非局部源的反应扩散系统:ut-Δu=∫Ωum1dx∫Ωvn1dx,vt-Δv=∫Ωum2dx∫Ωvn2dx非负解整体存在和有限时间爆破的条件.
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     Application of nonlocal friction in thinning flanging
     非局部摩擦在变薄翻边成形工序中的应用
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     The solution of the perturbed problem(Ⅱ) for quasilinear parabolic nonlocal boundary value problem(Ⅰ) is discussed. Existence and uniqueness for the perturbed problem(Ⅱ) are obtained in w~(1,2)(0,T,V)∩L~2(0,T,V).
     讨论了拟线性抛物非局部边值问题(Ⅰ)的摄动问题(Ⅱ),证明了(Ⅱ)在w1,2(0,T,V)∩L2(0,T,V)存在惟一广义解.
短句来源
     The upper and lower solution method is established for the nonlocal problem of the first order ordinary differential equation x′(t)=f(t,x(t)), a. e . t∈[0,T], x(0)=∑mk=1a_kx(t_k)=c_0.
     建立了一阶常微分方程非局部问题x′(t)=f(t,x(t)), a e t∈[0,T],x(0)=∑mk=1akx(tk)=c0的上下解方法.
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  nonlocalized
     A CLASS OF PARABOLIC EQUATIONS WITH NONLOCALIZED NONLINEAR TERM
     一类含非局部非线性项的抛物方程
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     This paper deals with the initial-boundary value problems for a class of parabolic equations with nonlocalized nonlinear term subject to the Dirichlet bourdary Conditions. The local estimates and the blow up properties of the solutions in a finite time are obtained.
     本文研究一类含非局部非线性项的抛物方程具Dirichlet边界条件的初边值问题,得到了解的局部估计及解在有限时间内的爆破性质。
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  “非局部”译为未确定词的双语例句
     Hahn-Banach Extension Property on Non Locally Convex Topological Linear Spaces
     非局部凸拓扑线性空间中的Hahn Banach延拓性
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     The simulation results show that the new reactor is suitable for industrial heat recovery with rapid and uniform process,and the operating cycle is less than 0.5 h.
     采用有限容积法对描述反应器动态过程的非局部热平衡模型进行了离散求解,模拟结果证明新型反应器的工作过程较为快速和均匀,操作周期在0.5 h内,适用于工业热能的回收利用;
短句来源
     Nonlinear and Non-local Boundary Value Problem of Wave Equations
     波动方程的非线性、非局部边值问题
短句来源
     Hahn-Banach Extension Property and Banach Envelope of Non-locally Convex Spaces
     非局部凸空间的Hahn-Banach定理及Banach包络
短句来源
     In this paper, we prove an existence theorem of solutions of a kind of nonlinear and non local boundary value problem of wave equations by Galerkin′s method.
     用 Galerkin方法证明了波动方程的一类非线性非局部边值问题的解的存在性定理 .
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  nonlocal
The singularly perturbed nonlocal boundary value problems for higher order nonlinear elliptic equations
      
In this paper, a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.
      
The blow-up properties for a degenerate semilinear parabolic equation with nonlocal source
      
This paper deals with the blow-up properties of the positive solutions to the nonlocal degenerate semilinear parabolic equation ut - (xaux)x=∫0af(u)dx in (0,a) × (0,T) under homogeneous Dirichlet conditions.
      
A class of nonlinear singularly perturbed nonlocal reaction diffusion system
      
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  nonlocal models
Local and nonlocal models of over-heating are studied.
      
The application of these small spin-one condensates for compact stars is analyzed: the early onset of quark matter in the nonlocal models may help to stabilize hybrid star configurations.
      
A comparison between nonlocal models and quantum mechanics
      
Thus, spatially nonlocal models have the potential to replicate experimental systems, and should be considered in concert with other viscoelastic models of polymer-penetrant systems.
      
Cohesive cracks versus nonlocal models: Closing the gap
      
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  nonlocalized
Obtained results are compared to entropy losses theoretically calculated for benzene molecules using the models of ideal localized and nonlocalized adsorption.
      
The transfer of some nonlocalized (free) ions at the interface through the insulator, depletion of ion traps, and decomposition of neutral ion-electron associates are responsible for the peaks.
      
We confirm the previously investigated idea of spatial heat localization in the solar atmosphere in the form of HTSs during flare heating with a volume nonlocalized source.
      
These states should be nonlocalized in contradiction to a localized soliton.
      
The difference in energy between localized and nonlocalized (Bloch) states is due to zero point motion and gives information about the quantum stability of the Davydov soliton.
      
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In this paper we consider systematically, with the help of the V-function method, which broad applied in stability theory of movement, the existence and the stability of periodic solutions for system of non-linear (non-autono-mos) differential equations, and its local and non-local problems. Results,which obtained in this paper, may be consided as extension and development of works[4--10].

本文借助于在运动稳定性理论中广泛采用的V函数方法,较系统地讨论了关于非线性(非驻定)微分方程组的周期解之存在性和稳定性以及其局部的和非局部的问题。文中所得的结果是工作的推广和发展。

The present paper is mainly concerned with the nonlinear.and nonlocal boundary value problem of the second order partial differential elliptic and parabolic equations in connection with temperature control. By turning this into a problem of variational inequalities, we have considered the well-posed and growth estimation of its weak solution, by means of monotone operator theory, convex analysis and the theory of nonlinear evolution equations. The global asymptotic stability is proved when the total gain of...

The present paper is mainly concerned with the nonlinear.and nonlocal boundary value problem of the second order partial differential elliptic and parabolic equations in connection with temperature control. By turning this into a problem of variational inequalities, we have considered the well-posed and growth estimation of its weak solution, by means of monotone operator theory, convex analysis and the theory of nonlinear evolution equations. The global asymptotic stability is proved when the total gain of feedback loop is sufficiently small.

本文讨论了由温度控制中提出的二阶椭圆和抛物型偏微分方程的非线性非局部边值问题.通过把问题化为变分不等方程,利用单调算子理论、凸分析和非线性发展方程理论,研究了其弱解的适定性和增长估计.证明了当反馈因(辶回)路的总增益适当小的时候,系统是全局渐近稳定的.

The existing problems in the theory of local convection are analysed. It is shown that the effect of turbulent pressure on the structure and the vibrational stability of stars with extensive convective envelopes is not negligible. The physical significance of Henvey’s numerical instability in calculations of convective envelopes is elucidated. When the effect of turbulet pressure on hydrostatic equilibrium of stars is considered, we have to abandon the local treatment of convection. From dynamic equations of...

The existing problems in the theory of local convection are analysed. It is shown that the effect of turbulent pressure on the structure and the vibrational stability of stars with extensive convective envelopes is not negligible. The physical significance of Henvey’s numerical instability in calculations of convective envelopes is elucidated. When the effect of turbulet pressure on hydrostatic equilibrium of stars is considered, we have to abandon the local treatment of convection. From dynamic equations of correlation functions, we propose a theory of non-local convection.

本文分析了局部对流理论存在的问题。指出在研究变星脉动和具有延伸对流区的恒星内部结构时,湍流雷诺应力的作用是不可忽略的。当考虑湍流压对恒星静力平衡的影响时,则必然排斥对流的局部描述。从研究湍流关联的动力学方程出发,提出了一种非局部对流的统计理论。

 
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