5 papers
New results for the Nonoscillatory Asymptotic Behavior of High Order Differential Equations of Poincaré type
Aníbal Coronel, Fernando Huancas
In this paper we study the asymptotic behavior of nonoscillatory solutions for high order differential equations of Poincaré type. We introduce two new and more weak than classical…
L-Solutions of a Nonlinear Third Order Differential Equation and Asymptotic Behavior of Linear Fourth Order Differential Equations
Aníbal Coronel, Fernando Huancas, Manuel Pinto
In this paper we prove the well-posedness and we study the asymptotic behavior of nonoscillatory -solutions for a third order nonlinear scalar differential equation. The equat…
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…
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…
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…