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- boundary value theorem 边值定理
- In this paper, a global inverse theorem is used to obtain the existence and uniquence of the solution for a nonlinear boundary value problem. 本文利用全局反函数定理讨论了一类非线性边值问题解的存在性与唯一性。
- This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones. 摘要利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。
- In this paper, we show the existence of the multiple positive solutions of a class of three-order Boundary Value Problems via the fixed point theorem on cone. 摘要利用锥拉伸与锥压缩不动点定理研究了一类三阶两点边值问题的无穷多个正解。
- Rolle's theorem is a special case of the mean value theorem. 罗尔定理是中值定理的一种特殊形式。
- The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved. 摘要本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
- The main result of this paper :Theorem 1 Under the assumption (H1) - (H4),the second-order Neumann boundary value problem (1) - (2) has positive solution. 定理1：假设条件(H_2)-(H_4)成立，则奇异非线性二阶微分方程Neumann边值问题(1)-(2)存在正解。
- ID of the partition function for this range boundary value. 该范围边界值的分区函数的ID。
- The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. 摘要利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
- The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions. 研究了一类纯量形式非线性积分微分方程周期边值问题,利用上下解法证明了解的存在性。
- We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem, the uniform validity of the asymptotic solution is proved. 本文研究了一类高阶半线性椭圆型方程奇摄动边值问题。利用比较定理,证明了渐近解的致有效性。
- A Simple Proof for the generalization of Cauchy mean value theorem is given. 给出Cauchy微分中值定理的推广的一个简单证明.
- Title： Boundary value problem for a class of second order nonlinear O.D.E. 关键词：非线性常微分方程;边值问题;解;存在性
- Boundary Value Problems in Magnetostatics with and without Magnetic Materials. 20磁性与非磁性材料之静磁学边界值问题。
- The present paper is establish the existence theorem of a class of singular boundary value problems for quasilinear ordinary differential equation with the fixed point theorem as the principal tool, and develops semilinear corresponding results. 摘要本文使用不动点定理建立了一类奇异拟线性常微分方程边值问题正解的存在性定理，发展了半线性所得相应结果。
- We obtain sufficient conditions for the existence of at least three positive solutions for the boundary value problem of a second order functional differential equation this is an application of a new fixed point theorem introduced by Avery and Peterson. 本文利用Avery和Peterson引入的新的不动点定理,得出了泛函微分方程边值问题存在三个正解的充分条件并得出了有关新结果。
- Abstract: In this paper,we discusses Comparison Theorem about someone Systems of Parabolic Boundary Value Problems,by method of Upper-down solution.In the meantime,We would discuss uniqueness of their smooth solution. 文摘:本文利用上、下解方法，讨论一类抛物型方程组的比较定理，同时讨论正则解的存在唯一性。
- Abstract: We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem,the uniform validity of the asymptotic solution is proved. 文摘:本文研究了一类高阶半线性椭圆型方程奇摄动边值问题.;利用比较定理，证明了渐近解的致有效性
- In this paper, we mainly use variational methods, including the least action principle, minimax theorem and Morse theory, to deal with the existence of solutions of discrete Hamiltonian systems with periodic boundary value conditions. This Ph. 我们利用变分理论中的最小作用原理、极小极大原理，以及Morse理论研究了离散哈密尔顿系统的周期边值问题。
- An existence theorem of solution is established for a class of fourth-ordet two-point boundary value problems with all order derivatives by using integral equation and considering the "height" of nonlinear term. 摘要通过运用积分方程并考察非线性项的“高度”对一类含有各阶导数的四阶两点边值问题建立了一个解的存在定理。
