Displaying similar documents to “Regularly varying solutions of generalized Thomas-Fermi equations”

Existence and sharp asymptotic behavior of positive decreasing solutions of a class [4pt] of differential systems with power-type nonlinearities

Jaroslav Jaroš, Kusano Takaŝi (2014)

Archivum Mathematicum

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The system of nonlinear differential equations x ' + p 1 ( t ) x α 1 + q 1 ( t ) y β 1 = 0 , y ' + p 2 ( t ) x α 2 + q 2 ( t ) y β 2 = 0 , A is under consideration, where α i and β i are positive constants and p i ( t ) and q i ( t ) are positive continuous functions on [ a , ∞ ) . There are three types of different asymptotic behavior at infinity of positive solutions ( x ( t ) , y ( t ) ) of (). The aim of this paper is to establish criteria for the existence of solutions of these three types by means of fixed point techniques. Special emphasis is placed on those solutions with both components decreasing to zero as t → ∞ , which...

A note on regularly asymptotic points

Jiří Jelínek (1996)

Commentationes Mathematicae Universitatis Carolinae

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A condition of Schmets and Valdivia for a boundary point of a domain in the complex plane to be regularly asymptotic is ameliorated.