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math.CA2014
Asymptotic Integration of a Linear Fourth Order Differential Equation of Poincaré Type
Anibal Coronel, Fernando Huancas, Manuel Pinto
This article deals with the asymptotic behavior of fourth order differential equation where the coefficients are perturbations of linear constant coefficient equation. We introduce…
math.FA2014
The proof of three power-exponential inequalities
Anibal Coronel, Fernando huancas
In this paper we prove three power-exponential inequalities for positive real numbers. In particular, we conclude that this proofs give affirmatively answers to three, until now, o…
math.MG2014
A proof of the three geometric inequalities conjectured by Yu-Dong Wu and H.M. Srivastava
Anibal Coronel, Fernando Huancas
In this short note the authors give answers to the three open problems formulated by Wu and Srivastava [{\it Appl. Math. Lett. 25 (2012), 1347--1353}]. We disprove the Problem 1, b…