Uniform exponential stability of linear almost periodic systems in Banach spaces.
Uniform exponential stability of linear periodic systems in a Banach space.
Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10] to obtain criterion for the stability of the zero solution of the infinite delay nonlinear Volterra integro-differential equation [...]
Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem
We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative.
Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay
Many models in biology and ecology can be described by reaction-diffusion equations wit time delay. One of important solutions for these type of equations is the traveling wave solution that shows the phenomenon of wave propagation. The existence of traveling wave fronts has been proved for large class of equations, in particular, the monotone systems, such as the cooperative systems and some competition systems. However, the problem on the uniqueness of traveling wave (for a fixed wave speed)...
Uniqueness of rapidly oscillating periodic solutions to a singularly perturbed differential-delay equation.
Uniqueness of solutions to integrodifferential and functional integrodifferential equations.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.