Almost automorphic solutions to some differential equations in Banach spaces.
Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with.
Alternative analysis generated by a differential equation.
An operational procedure for Hankel type integrals.
Analog solution of a given problem in the back time
Analysis of Adomian series solution to a class of nonlinear ordinary systems of Raman type.
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 the self-similar solutions of a generalized Burgers equation with nonlinear damping.
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.
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.
Application du principe du dernier multiplicateur à l'intégration d'une équation différentielle du second ordre
Application of the Laplace transform to simulating continuous systems
Approximation of analytic functions by Kummer functions.
Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form
Associated transforms for solution of nonlinear equations.
Asymptotic properties of one differential equation with unbounded delay
We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.
Asymptotische Eigenschaften der Differentialgleichung
Asymptotische Eigenschaften der Lösungen des Systems
Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung