By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
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.
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。
In this paper, the author discusses the existence of solutions to initial boundary value problem of nonlinear parabolic equations and obtains the existence theorem.
讨论了一类非线性抛物型方程的初边值问题解的存在性，并得出了解的存在性定理。
Using the uniqueness theorem for boundary value problem of steady magnetic field and Weierstrass theorem, the unique choice of image electric current is discussed.
利用稳恒磁场边值问题解答的唯一性定理和维尔斯特拉斯定理讨论了镜象电流选择的唯一性。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
By making use of monotone iterative technique, the iterative scheme and existence theorem of positive solution are established for a nonlinear second-order boundary value system.
利用单调迭代方法对一个非线性二阶边值系统建立了正解的迭代格式和存在性定理。
A fixed point theorem in cone is used to study the existence of normal solution of second-order periodic boundary value problems.
利用锥不动点定理研究了一类二阶非线性周期边值问题正解的存在性。
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.
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。
By using the fixed point theorem on cone, this paper studies the existence of positive solutions for first order periodic boundary value problem with impulses.
利用锥上的不动点定理讨论了一阶脉冲微分方程周期边值问题的正解的存在性。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
In this paper an existence and uniqueness theorem for non-linear two-point boundary value problem is proved by means of Kantorovich 's theorem.
本文利用康托·洛维奇定理证明了非线性两点边值问题的一个存在唯一性定理。
By using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the initial boundary value problem is studied.
利用多重尺度法和比较定理，研究了初始边值问题解的渐近性态。
This paper presents a new existence theory for positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones.
运用锥不动点定理，给出了二阶离散周期边值问题正解的新的存在性定理。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
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。
By using the fixed-point theorem of cone expansion-compression type with norm, we study the existence of positive pseudo-symmetric solutions to a four-point boundary value problem.
利用范数形式的锥拉伸与压缩不动点定理，研究了一类四点边值问题拟对称正解的存在性。
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.
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 consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
The influence of double layer for scalar potential, the double layer universal solutions of scalar potential and the only theorem of boundary value problem are discussed.
论述了偶层对标势的影响及有偶层存在时标势的普遍解和边值问题的唯一性定理。
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.
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 global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
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。
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