Our conditions imposed on the nonlinear term are very easy to verify.
我们施加于非线性项的条件非常容易验证。
Here, the nonlinear term is bounded below and need not be nonnegative.
这里，非线性项是下有界的并且不需要是非负的。
Compared with the known results, our nonlinear term here is semipositone.
与现有工作相比，我们对于非线性项的要求是半正的。
The nonlinear term in the equation may have singularity and discontinuity in its variables.
方程中的非线性项关于其变量可以具有奇性和间断性。
Each subsystem contains nonlinear term and the interconnections are nonlinear and unmatched.
每个子系统都包含非线性项，且互联项是非线性非匹配的。
Our results show that the equation has at least one solution provided the nonlinear term satisfies a linear growth restriction.
我们的结论表明如果非线性项满足某种线性增长限制则该方程至少有一个解。
The existence theorem shows that the equation has at least one solution provided the nonlinear term satisfies a linear growth condition.
这个存在定理说明只要非线性项满足某种线性增长条件该方程至少有一个解。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。
Furthermore, by considering the influence of nonlinear term coefficients to Painleve property, two new types of systems with Painleve property are derived.
通过研究该方程中非线性项系数对Painleve性质的影响，我们进一步得到了两类具有Painleve性质的新方程。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation.
通过求解势流方程，获得了一个包含三阶非线性项、外激励及表面张力影响的非线性振幅方程。
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。
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。
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