Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity.
Convergence and periodicity in a delayed network of neurons with threshold nonlinearity.
Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks.
Valuation for an American continuous-installment put option on bond under Vasicek interest rate model.
Almost sure exponential stability of delayed cellular neural networks.
Convergence and periodicity of solutions for a class of difference systems.
Periodic solutions for planar systems with time-varying delays.
New results of a class of two-neuron networks with time-varying delays.
Anti-periodic solutions for a class of third-order nonlinear differential equations with a deviating argument.
An efficient algorithm for adaptive total variation based image decomposition and restoration
With the aim to better preserve sharp edges and important structure features in the recovered image, this article researches an improved adaptive total variation regularization and H −1 norm fidelity based strategy for image decomposition and restoration. Computationally, for minimizing the proposed energy functional, we investigate an efficient numerical algorithm-the split Bregman method, and briefly prove its convergence. In addition, comparisons are also made with the classical OSV (Osher-Sole-Vese)...
Periodic solutions for some delay differential equations appearing in models of power systems
The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.
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