Monotone solutions of second-order nonlinear differential equations

doi:10.1016/S0893-9659(99)00210-4

Applied Mathematics Letters

Volume 13, Issue 4, May 2000, Pages 65-70

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Abstract

Necessary and sufficient conditions are obtained for existence of monotone solutions of a nonlinear differential equation. As applications, several existence criteria and comparison theorems are derived.

Keywords

Monotone solution

Nonlinear differential equations

Comparison theorem

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^∗: Supported by the NSF of Gansu Province (ZS981-A25-010-Z) and the Science Foundation of Gansu University of Technology.

^†: Supported by the NSFC (19671040).