On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations

Canadian mathematical bulletin

Octavian G. Mustafa¹  Ravi P. Agarwal² 

[1] Faculty of Mathematics, D.A.L., University of Craiova, Romania;Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, U.S.A.

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

DOI  :  10.4153/CMB-2011-061-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 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.

【 授权许可】

Unknown