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1)  (Non-)Zero Boundary condition
(非)零边界条件
2)  non-local boundary condition
非局部边界条件
1.
PML technique and non-local boundary conditions for the parabolic equation;
PML技术及非局部边界条件在抛物线方程中的应用
2.
High order parabolic equation algorithm and its application to non-local boundary condition;
高阶PE算法及其在非局部边界条件中的应用
3.
Considering a reaction-diffusion equation with non-local boundary conditions in bounded regions, we have found under some conditions the solutions of the equation blow up or exist globally.
考虑在有界区域中非局部边界条件下的一个反应-扩散方程,在一定条件下,该方程的解整体存在或有限时刻爆破。
3)  time-dependent boundary condition
非定常边界条件
1.
For solving more complicated heat conduction problems with time-dependent boundary conditions,it can be beneficial and essential to transformation of heat conduction differential equation to integral one.
对微分形式的热传导方程进行积分变换,将其转变成等价的积分形式的热传导方程式,然后应用渐近序列方法于非定常边界条件下存在相变的多年冻土活动层的温度计算中,提出新的多年冻土活动层温度解析近似计算公式。
4)  nonlinear boundary condition
非线性边界条件
1.
Existence of global attractor for reaction-diffusion equations under nonlinear boundary conditions;
非线性边界条件下反应-扩散方程组全局吸引子的存在性
2.
By employing Galerkin approach,the authors have proved the existence and uniqueness of the global solutions to the equation hereinabove under nonlinear boundary condition,and proved the continuous dependence of the soluti.
考虑材料的粘性效应,建立了一类轴向载荷作用下的更一般的粘弹性梁方程,并利用G a lerk in方法,证明了该方程在非线性边界条件下整体解的存在性,解对初值的连续依赖性,整体解的唯一性。
3.
In this paper, we use the theory of differential inequalities to study the sigular perturbation for a class of higher order nonlinear equations with nonlinear boundary conditions.
文章利用微分不等式的方法,研究了一类具有非线性边界条件的高阶非线性方程的奇摄动。
5)  nonlinear boundary conditions
非线性边界条件
1.
Existence and uniqueness of nonnegative classical solution for a parabolic system with nonlinear boundary conditions;
一个具有非线性边界条件的抛物系统非负古典解的存在唯一性(英文)
2.
Global existence and blow-up problem for nonlinear parabolic equations with nonlinear boundary conditions;
具非线性边界条件的非线性抛物型方程组整体解和爆破问题
3.
The existence of the global solution for the system under some certain initial and nonlinear boundary conditions is proved use Faedo-Galerkin method.
同时考虑材料的粘性效应及非线性外阻尼,建立了一类弯曲与扭转联合作用下的有部分不同的方程组,研究了弯曲与扭转联合作用下的非线性梁方程组的初边值问题,并运用Faedo-Galerkin方法,证明了在非线性边界条件下方程组整体解的存在性。
6)  non-homogeneous boundary conditions
非齐次边界条件
1.
We study the existence of a class of nonlinear elliptic equations with non-homogeneous boundary conditions by using variational methods for the various cases that λ,μ∈R and 1<p,q<2N/(N-2).
对于一类非齐次边界条件的非线性椭圆方程,应用变分方法研究了参数λ,μ∈R以及实数p,q在1到2N/(N-2)范围内此类方程的可解性,得到了一些新的结果。
2.
By using the upper and lower solutions method,the existence of solutions was studied for a type of second-order two-points boundary value problems with p-Laplacian operator under non-homogeneous boundary conditions.
研究了一类具p-Laplace算子的二阶非线性常微分方程在非齐次边界条件下的两点边值问题。
补充资料:边界条件
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性质:当用一个微分方程描述一个化工设备的特性和各种参数间的关系时,求解这个方程必需知道这个设备的起始边界(如入口处)和终止边界(如出口处)的状态(如温度、压力、浓度等)。这些状态参数的大小称为边界条件。

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