Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.
Electronic density at the nucleus. On a conjecture of Lieb
Embedded eigenvalues and resonances of Schrödinger operators with two channels
In this article, we give a necessary and sufficient condition in the perturbation regime on the existence of eigenvalues embedded between two thresholds. For an eigenvalue of the unperturbed operator embedded at a threshold, we prove that it can produce both discrete eigenvalues and resonances. The locations of the eigenvalues and resonances are given.
Entropy considerations in the noncommutative setting.
Epi/hypo-convergence: The slice topology and saddle points approximation.
Equations with discontinuous nonlinear semimonotone operators
The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type with the discontinuous semimonotone operator . Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in are given for illustration.
Equilibrium points of random generalized games.
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Error controlled regularization by projection.
Estimation des résidus de la matrice de diffusion associés à des résonances de forme I
Even periodic solutions of higher order duffing differential equations
By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
Evolution equations governed by families of weighted operators
Exact controllability of generalized Hammerstein type integral equation and applications.
Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided...
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.
Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays.
Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays.
Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations.
Existence and multiplicity of positive solutions existence and multiplicity of positive solutions time scales.