Geodesic
On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 3-14

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DOI

We improve several recent results in the asymptotic integration theory of nonlinear ordinary differential equations via a variant of the method devised by J. K. Hale and N. Onuchic The results are used for investigating the existence of positive solutions to certain reaction-diffusion equations.
DOI : 10.4153/CMB-2011-061-1
Mots-clés : 34E10, 34C10, 35Q35, asymptotic integration, Emden-Fowler differential equation, reaction-diffusion equation 
Agarwal, Ravi P.; Mustafa, Octavian G. On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 3-14. doi: 10.4153/CMB-2011-061-1
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     author = {Agarwal, Ravi P. and Mustafa, Octavian G.},
     title = {On a {Local} {Theory} of {Asymptotic} {Integration} for {Nonlinear} {Differential} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {3--14},
     year = {2012},
     volume = {55},
     number = {1},
     doi = {10.4153/CMB-2011-061-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-061-1/}
}
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