• 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 ...

• System of fractional boundary value problem with p-Laplacian and advanced arguments 

  Mahdjouba, Amina; Nieto Roig, Juan José; Ouahab, Abdelghani (Springer, 2021)

  In this paper, we discuss the existence and multiplicity of positive solutions for a system of fractional differential equations with boundary condition and advanced arguments. The existence result is proved via Leray–Schauder’s ...

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