• 1. the comparison theorem: 比较定理

• 1.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。
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• 2.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。
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• 3.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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