• Analysis of the sign of the solution for certain second-order periodic boundary value problems with piecewise constant arguments 

  Buedo Fernández, Sebastián; Cao Labora, Daniel; Rodríguez López, Rosana; Tersian, Stepan A. (MDPI, 2021)

  We find sufficient conditions for the unique solution of certain second-order boundary value problems to have a constant sign. To this purpose, we use the expression in terms of a Green’s function of the unique solution ...

• Parametric Estimation of Diffusion Processes: A Review and Comparative Study 

  López Pérez, Alejandra María; Febrero Bande, Manuel; González Manteiga, Wenceslao (MDPI, 2021)

  This paper provides an in-depth review about parametric estimation methods for stationary stochastic differential equations (SDEs) driven by Wiener noise with discrete time observations. The short-term interest rate dynamics ...

• A Liouville’s Formula for Systems with Reflection 

  Codesido, Santiago; Fernández Tojo, Fernando Adrián (MDPI, 2021)

  In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an ...

• Power-series solution of compartmental epidemiological models 

  Srivastava, Hari M.; Area Carracedo, Iván Carlos; Nieto Roig, Juan José (AIMS Press, 2021)

  In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental ...

• Nonlinear differential equations with perturbed Dirichlet integral boundary conditions 

  Cabada Fernández, Alberto; Iglesias Pérez, Javier (Springer, 2021)

  This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral. The studied problem is a ...

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