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线性边
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  linear boundary
     Existence-Uniqueness of Solutions of Three-Point Linear Boundary Value Problems for Nth-Order Nonlinear Differential Equation
     n阶非线性微分方程三点线性边值问题解的存在唯一性
短句来源
     In chapter one, we study the existence of positive solutions of the equation (φ(x'))' + a(t)f(x(t)) = 0, subject to linear boundary value conditions by a simple application of a fixed point index theorem in cones.
     在第一章中,通过引进一个函数φ:R→R是递增的同胚同态映射且φ(0)=0,我们利用锥上一个不动点指数定理研究方程(φ(x′))′+a(t)f(x(t))=0在线性边值条件下正解的存在性。
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     A New Type of Boundary Element Method for Linear Boundary Value Problems
     线性边值问题的一类新型边界元法
短句来源
     The integration formula is derived,some particular linear boundary problems are discussed,and corresponding formulas and methods are established.
     本文给出了这类积分方程的一般推导方法,就一些具体线性边值问题作了讨论,建立了相应的积分公式和求解方法。
短句来源
     Numerical Method for Solving Linear Boundary Value Problems by the Chebyshev Tau Method
     求线性边值问题数值解的Chebyshev τ-方法
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  “线性边”译为未确定词的双语例句
     The solvability of the following fourth order quasilinear boundry value problem y(N) =f(x,g, y′, y″), y (0) = y(1 ) = y"(0) = y″(l ) = 0 without any growth restriction on f is studied.
     给出了四阶完全拟线性边值问题y(N)=f(x,y,y′,y″),y(0)=y(1)=yn(0)=y″(1)=0不限制f增长的可解性条件。
短句来源
     This paper studies the singular second order boundary value problem ″+n-t1 ′(t)+λ(t)=0,0
     研究了二阶奇异线性边值问题"(t)+n-1t′(t)+λ(t)=0,0
短句来源
     Let a ∈ C[0,1], b ∈ C([0,1],(-∞,0)).
     设φ(t)为线性边值问题 u″+a(t)u′+b(t)u=0, u′(0)=0,u(1)=1的唯一正解.
短句来源
     In ibis paper, we proved the existence of infinite many solutions and nodal character of the solutions for singular quasilinear boundary value problems(1), (2).
     本文证明了R~+上含奇性拟线性边值问题(1),(2)的无穷多解的存在性及其波节性质。
短句来源
     Existence and Uniqueness of Solutions for Nonlinear Differential Equation Boundary Value Problems
     几类常微分方程线性边值问题
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  相似匹配句对
     ON LINEAR CONJUGATE BOUNDARY VALUE PROBLEMS
     关于线性共轭值问题
短句来源
     Linear arboricity of graphs with few edges
     数较少的图的线性荫度
短句来源
     Linear Cryptanalysis of Q Block Cipher
     Q的线性密码分析
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     Linear Prediction
     线性预测
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  linear boundary
The stability condition is formulated in terms of the eigenvalues of the linear boundary-value problem which arises in considering the question of the potential energy minimum.
      
The range of problems which can be reduced to linear boundary-value problems after the transformation of the hodograph is considerably broadened if mapping on non-single-sheet regions is admitted [1].
      
The corresponding linear boundary-value problem reduces to the solution of an integral equation of the first kind.
      
The corresponding linear boundary-value problem for perturbations has been studied mainly in the limiting cases of ideal mixing and ideal displacement.
      
Iterative algorithms for small and large Froude numbers based upon solving a linear boundary value problem in each step with subsequent updating of the shape of the free boundary are proposed.
      
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Let ΩR~n be a bounded domain.Let u and v be real valued classical solution to u_i-△u=f_1(u,v), v_i—△v=f_2(u, v), in Ω×(o, T), α_1u/v+β_1u=g_1(u, v), α_2v/v+β_2v=g_2(u, v), on Ω×(o,T), u(x, o)=u_o(x), v(x,o)=V_o(X), vhere △ is n-dlmensional Laplacian operator, v denote outward directed normal derivative. Using concavity method, we proved that under restriction to functions f_i(u,v), g_i(u,v), u_o(x), v_o(x), (i=1, 2), solutions become infinite in finite time.

半线性抛型方程组在有限时间内的blow—up现象的研究,具有实际意义,Levine[1][2][3]等人曾作过研究,在[1][2][3]中仅对半线性抛物型方程线性边值问题或线性方程非线性边值进行过研究。本文把上述问题推广到非线性抛物型方程组非线性边值的问题中去,利用凸性方法证明了在一定条件下,古典解在有限时间内解趋于无穷,并估计逸出时间。

Let ΩR~n be a bounded domain.Let u and v be real valued classical solution to u_t-△~u=f_1(u,v), v_t—△~v=f_2(u, v), in Ω×(o, T), α_1u/v+β_1u=g_1(u, v), α_2v/v+β_2v=g_2(u, v), on Ω×(o,T), u(x, o)=u_o(x), v(x,o)=v_o(x), vhere △ is n-dimensional Laplacian operator, v denote outward directed normal derivative. Using concavity method, we proved that under restriction to functions f_i(u,v), g_i(u,v), u_o(x), v_o(x), (i=1, 2), solutions become infinite in finite time.

半线性抛型方程组在有限时间内的blow-up现象的研究,具有实际意义,Levine[1][2][3]等人曾作过研究,在[1][2][3]中仅对半线性抛物型方程线性边值问题或线性方程非线性边值进行过研究。本文把上述问题推广到非线性抛物型方程组非线性边值的问题中去,利用凸性方法证明了在一定条件下,古典解在有限时间内解趋于无穷,并估计逸出时间。

In this paper,We prove the existence of nonnegative solutions of the semi- linear boundary value problem (1.3)(1.4)and discuss the parameter-dependence of these solutions.We show that an increase in the diffusion coefficients or in ratio of the different diffusion coefficients associated with the semilinear reaction diffusion system will make the distribution of the concentration of the species tend toward uniform.

本文研究的是化学反应理论中产生的一类半线性边值问题的存在性以及解对参数的依赖关系。文中证明了边值问题的非负解的存在性,并且在扩散系数大小不同的各种情况下讨论了解的大小估计。讨论表明,在半线性反应扩散中,扩散系数增大或者对应不同的反应物的扩散系数的比值增大都可促使反应物浓度的分布趋于均匀。

 
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