非饱和土中溶质迁移参数反演问题可以归结为非线性算子方程的求解问题。
Parameter inversion of solute transport inside unsaturated soils was generally solved through a nonlinear operator equation.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。
A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.
通过将问题化为非线性算子方程，推导出算子的形式导数，给出了线性化问题解的等价表达。
By reducing the MREIT problem to a nonlinear operator equation, the formal derivative of the operator and the formula of solution for linearization problem are given.
本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
我们研究含非稠定闭线性算子的积-微分方程。
Integro-differential equations with nondensely defined linear operators in Banach space was considered.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
藉助L_2空间上的线性算子理论，我们得到了这类方程的控制参数在实轴上的分布情况以及存在符合物理意义的正解的条件。
By using linear operator theory in L2 space, we get the distributed parameters on real line and the existence of positive solutions.
这组算子的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
本文引进(JM)型算子的概念，并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
A to be determined coefficient method for finding dual operators of hierarchies of non-linear evolution equations is proposed.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
This paper deals with the dual Toeplitz operators on the orthogonal complement of the Fock space.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
This paper deals with the dual Toeplitz operators on the orthogonal complement of the Fock space.
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