6 papers
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…
Sufficient conditions for existence of positive periodic solution of a generalized nonresident computer virus model
Aníbal Coronel, Fernando Huancas, Manuel Pinto
In this paper, we introduce a nonresident computer virus model and prove the existence of at least one positive periodic solution. The proposed model is based on a biological appro…
A local uniqueness result for an inverse problem to the system modelling nonhomogeneous asymmetric fluids
Aníbal Coronel, Marko Rojas-Medar
In this paper, we prove the local uniqueness of an inverse problem arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid in a bounded domain with sm…
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…