A computational investigation of an integro-differential inequality with periodic potential.
A continuous version of the Filippov-Gronwall inequality for differential inclusions
We give an estimate for the distance between a given approximate solution for a Lipschitz differential inclusion and a true solution, both depending continuously on initial data.
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A fixed point approach to the stability of differential equations .
A linear inequality of Gronwall's type containing multiple integral
A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.
A new approach for solving nonlinear BVP's on the half-line for second order equations and applications
We present a new approach to solving boundary value problems on noncompact intervals for second order differential equations in case of nonlocal conditions. Then we apply it to some problems in which an initial condition, an asymptotic condition and a global condition is present. The abstract method is based on the solvability of two auxiliary boundary value problems on compact and on noncompact intervals, and uses some continuity arguments and analysis in the phase space. As shown in the applications,...
A note on higher monotonicity properties of generalized Airy functions
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Another approach to the theory of differential inequalities realtive to changes in the initial times.
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.
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.