Analysis of Adomian series solution to a class of nonlinear ordinary systems of Raman type.
Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects.
Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry
Here we present basic ideas and algorithms of Power Geometry and give a survey of some of its applications. In Section 2, we consider one generic ordinary differential equation and demonstrate how to find asymptotic forms and asymptotic expansions of its solutions. In Section 3, we demonstrate how to find expansions of solutions to Painlevé equations by this method, and we analyze singularities of plane oscillations of a satellite on an elliptic orbit. In Section 4, we consider the problem of local...
Analysis of stability problems via matrix Lyapunov functions.
Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis
Tuberculosis (TB) remains a major global health problem. A possible risk factor for TB is diabetes (DM), which is predicted to increase dramatically over the next two decades, particularly in low and middle income countries, where TB is widespread. This study aimed to assess the strength of the association between TB and DM. We present a deterministic model for TB in a community in order to determine the impact of DM in the spread of the disease....
Analysis of the linearly implicit mid-point rule for differential- algebraic equations.
Analysis of the self-similar solutions of a generalized Burgers equation with nonlinear damping.
Analytic enclosure of the fundamental matrix solution
This work describes a method to rigorously compute the real Floquet normal form decomposition of the fundamental matrix solution of a system of linear ODEs having periodic coefficients. The Floquet normal form is validated in the space of analytic functions. The technique combines analytical estimates and rigorous numerical computations and no rigorous integration is needed. An application to the theory of dynamical system is presented, together with a comparison with the results obtained by computing...
Analytic solution of Riccati equations occurring in open-loop Nash multiplayer differential games.
Analytic solution of transcendental equations
A decomposition technique of the solution of an n-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
Analytic solutions of -th order differential equations at a singular point.
Analytic solutions of nonlinear neutral and advanced differential equations.
Analytical solution of a class of coupled second order differential- difference equations.
Analytical solution of linear ordinary differential equations by differential transfer matrix method.
Analyticity of the maximal solution of an abstract parabolic equation
Studia l’analiticità della soluzione massimale di una equazione parabolica astratta in spazi di Banach.
Another approach to the theory of differential inequalities realtive to changes in the initial times.
Another proof of Borůvka's criterion on global equivalence of the second order ordinary linear differential equations
Another representation for the maximal Lie algebra of in terms of operators.
Antitone operators and ordinary differential equations
Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential.
In [FS1] we announced a precise asymptotic formula for the ground-state energy of a non-relativistic atom. The purpose of this paper is to establish an elementary inequality that plays a crucial role in our proof of that formula. The inequality concerns the Thomas-Fermi potentialVTF = -y(ar) / r, a > 0, where y(r) is defined as the solution of⎧ y''(x) = x-1/2y3/2(x),⎨ y(0) = 1,⎩ y(∞) = 0.