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。
Sufficient criteria on uniform persistence, weak persistence and extinction of the consumer population are obtained by using mainly the comparison theorem.
主要运用比较定理得到了种群一致持续生存、弱持续生存以及绝灭的判据。
By means of the comparison theorem, and the oscillation of some non-linear partial difference equations is discussed and some concise conditions and authenticity are given.
给出系统振动的比较定理，利用比较定理讨论了一类非线性偏差分方程的振动性，给出简单的判别条件及证明。
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