Think in clean language, and switch negative thoughts into positive solutions.
用文雅的语言来想问题，变消极的思想包袱为积极的解决方案。
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。
Using cone fixed point theorem we get the existence of one and two positive solutions.
利用锥上的不动点定理得到了一个正解和两个正解的存在性。
Aim To investigate the existence of positive solutions for impulsive neutral differential equations.
目的研究脉冲中立型微分方程正解的存在性。
Under appropriate hypotheses, the global existence and finite time blow-up of positive solutions are obtained.
在适当的假设条件下，得到了正解的整体存在性与有限时刻爆破的结论。
In chapter 3, we study the energy estimate of singular positive solutions for a class quasilinear elliptic equations.
在第三章中证明了拟线性椭圆型方程正奇异解的能量估计。
In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied.
研究了一类带有非线性边界条件的二阶非线性抛物方程正解的性质。
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。
Multiple positive solutions for a class of higher order nonlinear neutral system of difference equations are studied in this paper.
本文研究了一类高阶非线性中立型差分方程组多正解的存在性。
By using linear operator theory in L2 space, we get the distributed parameters on real line and the existence of positive solutions.
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。
Existence and nonexistence of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.
本文利用移动球面法证明了一类半线性椭圆型方程组正解的存在性与不存在性。
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。
The existence of positive solutions of the steady-state system is studied for a kind of predator-prey model under the third boundary conditions.
研究了一类捕食者-食饵模型的平衡态系统在第三边界条件下正解的存在性。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth order two-point ordinary differential equations.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
By using fixed point theorem in cone, the authors discuss the existence of positive solutions of fourth outer two-point ordinary differential equations.
应用锥上不动点定理讨论一类四阶两点边值问题正解存在性。
This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.
研究了一类高阶非线性中立型差分方程正解的存在性和渐近性。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of high order unstable type neutral differential equations.
本文研究一类不稳定型高阶中立型微分方程正解的存在性与有界振动。
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。
This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.
讨论了带变号扰动并且具有一定附加条件的临界椭圆方程的两个正解存在性。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of second order unstable type neutral differential equations.
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动。
Little attention is on questions of existence of positive solutions for BVP of singular differential equation on measure chains and the relevant papers are few.
测度链上奇异微分方程边值问题正解的存在性，研究的人较少，相应的文献也要少的多。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
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。
By the maximum principles and reflection principles, the blow-up of positive solutions of a biomathematics model was studied, and blow-up set and blow-up rate are obtained.
利用反演原理和极值原理讨论了一类生物数学模型正解的爆破现象，获得了解的爆破集和爆破率。
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。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
This thesis mainly investigates the existence of positive solutions for some class of dynamic equations on time scales by using topological degree of nonlinear functional analysis.
本文主要利用非线性泛函分析的拓扑度方法来研究时间测度上几类动力方程的正解存在性。
The present paper deals with the sufficient and necessary condition of the final positive solutions of non-linear partial-difference equations and first presents the comparison theorem.
建立关于具有连续变量非线性偏差分方程存在最终正解的充要条件。
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。
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。
应用推荐