Unstable periodic wave solutions of nerve axion diffusion equations.
Upper estimate of the interval of existence of solutions of a nonlinear Timoshenko equation.
Upper Hausdorff dimension estimates for invariant sets of evolutionary systems on Hilbert manifolds
We prove a generalization of the Douady-Oesterlé theorem on the upper bound of the Hausdorff dimension of an invariant set of a smooth map on an infinite dimensional manifold. It is assumed that the linearization of this map is a noncompact linear operator. A similar estimate is given for the Hausdorff dimension of an invariant set of a dynamical system generated by a differential equation on a Hilbert manifold.
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations.
Upper semicontinuity of random attractors for non-compact random dynamical systems.