Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
It is meaningful to study solutions to closed boundary value problems for equations of mixed type, which is closely related to physical phenomena.
混合型方程的封闭边界值问题的解的研究是很有意义的，它与物理现象紧密联系在一起。
These results can be applied to study the existence of the radial solutions for the elliptic boundary value problems.
这些结果能被用来研究椭圆边值问题径向对称解的存在性。
This paper proves the existence and stability of global bounded generalized solutions of initial boundary value problems for a kind of reaction-diffusion systems.
本文证明了一类反应扩散方程组初边值问题整体有界广义解的存在性和唯一性。
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。
In this paper we discussed the existence and uniqueness theorems for third-order boundary value problems, using the method of upper and lower solutions.
本文利用上、下解方法证明了两类三阶边值问题解的存在性和唯一性。
Studies the existence for two-point boundary value problems of two fourth-order nonlinear equations by using the theories of upper and lower solutions.
利用上下解理论研究了两类四阶非线性方程两点边值问题解的存在性。
In this paper some oscillation criteria are established for solutions of a class of neutral hyperbolic boundary value problems.
本文建立一类中立型双曲方程边值问题解的振动准则。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
In this paper some oscillation criteria are established for solutions of boundary value problems of a class of partial differential equations with deviating arguments.
本文建立了一类带偏差变元的偏微分方程边值问题解的振动准则。
Finally the main results are used to establish some existence results for positive solutions of integral boundary value problems for ordinary differential equations.
把所得结果应用于研究常微分方程积分边值问题正解的存在性，所得结果推广和本质上改进了马如云等作者最近的一些结果。
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。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
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。
By using fixed point index theory in a cone, we study the existence of positive solutions of boundary value problems for systems of nonlinear second order singular differential equations.
使用锥上拓扑度理论，研究二阶非线性奇异微分方程组两点边值问题正解的存在性。
By using critical point theory, we obtain some conditions for the existence of multiple solutions on boundary value problems of a discrete generalized Emden-Fowler equation.
应用临界点理论，获得了一类离散广义Emden - Fowler方程边值问题存在多个解的条件。
By using critical point theory, we obtain some conditions for the existence of multiple solutions on boundary value problems of a discrete generalized Emden-Fowler equation.
应用临界点理论，获得了一类离散广义Emden - Fowler方程边值问题存在多个解的条件。
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