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Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies
(Sage Publications, 2015)
For a new class of elastic bodies, where the linearized strain tensor is given as a function of the Cauchy stress tensor,
the problem of considering unsteady motions is studied. A system of partial differential equations ...
A pulse fishery model with closures as function of the catch: Conditions for sustainability
(2012)
We present a model of single species fishery which alternates closed seasons with pulse captures. The novelty is that the length of a closed season is determined by the remaining stock size after the last capture. The ...
The non-linear sewing lemma III: Stability and generic properties
(Walter de Gruyter GMBH, 2020)
Solutions of Rough Differential Equations (RDE) may be defined as paths whose increments are close to an approximation of the associated flow. They are constructed through a discrete scheme using a non-linear sewing lemma. ...
On SDE associated with continuous-state branching processes conditioned to never be extinct
(2012)
We study the pathwise description of a (sub-)critical continuous-state branching process (CSBP)
conditioned to be never extinct, as the solution to a stochastic differential equation driven by Brownian
motion and Poisson ...
Stability analysis of a self-cycling fermentation model with state-dependent impulse times
(John Wiley, 2014)
A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refillingwith
new fresh substrate. This article constructs amodified model of self-cycling fermenter, which is ...
Lagrangians for differential equations of any order
(1992)
In this work the inverse problem of the variational calculus for systems of differential equations of any order is analyzed. It is shown that, if a Lagrangian exists for a given regular system of differential equations, ...
Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems
(Academic Press, 2017)
In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions ...
Finite mass solutions for a nonlocal inhomogeneous dispersal equation
(Amer Inst Mathematical Sciences, 2015)
In this paper we study the asymptotic behavior of the following nonlocal inhomogeneous dispersal equation
u(t)(x, t) = integral(R) J (x-y/g(y)) u(y, t)/g(y)dy - u(x, t) x is an element of R, t > 0,
where J is an ...
Differential equations associated to algebraic functions and their solutions
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1996)
A method to find the general solution of algebraic equations, including the quintic, is presented. The procedure is essentially based on the analytical properties of the algebraic functions and leads to the solution of ...
Generic property of tonelli's method for ordinary differential equations
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1988)
In the theory of ordinary differential equations there are many methods allowing to obtain solutions of the considered equations, provided such solutions do exist.