On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations

[摘要] We improve several recent results in theasymptotic integration theory of nonlinear ordinary differentialequations via a variant of the method devised by J. K. Hale andN. Onuchic The resultsare used for investigating the existence of positive solutions tocertain reaction-diffusion equations.

[学科分类] 数学（综合）

[关键词] asymptotic integration;Emden-Fowler differential equation;reaction-diffusion equation