Controlling chaos in nuclear spin generator system using backstepping design.
Controlling nonuniqueness of local invariant manifolds.
Controllo a struttura variabile per equazioni di evoluzione in spazi di Banach
Convergence acceleration of shifted transformations for totally nonnegative Hessenberg matrices
We design shifted transformations based on the integrable discrete hungry Toda equation to compute eigenvalues of totally nonnegative matrices of the banded Hessenberg form. The shifted transformation can be regarded as an extension of the extension employed in the well-known dqds algorithm for the symmetric tridiagonal eigenvalue problem. In this paper, we propose a new and effective shift strategy for the sequence of shifted transformations by considering the concept of the Newton shift....
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...
Convergence and periodicity in a delayed network of neurons with threshold nonlinearity.
Convergence behaviour of solutions to delay cellular neural networks with non-periodic coefficients.
Convergence estimate for second order Cauchy problems with a small parameter
We consider the second order initial value problem in a Hilbert space, which is a singular perturbation of a first order initial value problem. The difference of the solution and its singular limit is estimated in terms of the small parameter The coefficients are commuting self-adjoint operators and the estimates hold also for the semilinear problem.
Convergence for hyperbolic singular perturbation of integrodifferential equations.
Convergence in evolutionary variational inequalities with hysteresis nonlinearities
Convergence of a mimetic finite difference method for static diffusion equation.
Convergence of Cohen-Grossberg neural networks with delays and time-varying coefficients.
Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators.
Convergence of formal solutions of first order singular partial differential equations of nilpotent type
Let (x,y,z) ∈ ℂ³. In this paper we shall study the solvability of singular first order partial differential equations of nilpotent type by the following typical example: , where . For this equation, our aim is to characterize the solvability on by using the Im P, Coker P and Ker P, and we give the exact forms of these sets.
Convergence of multistep methods for systems of ordinary differential equations with parameters
The author considers the convergence of quasilinear nonstationary multistep methods for systems of ordinary differential with parameters. Sufficient conditions for their convergence are given. The new numerical method is tested for two examples and it turns out to be a little better than the Hamming method.
Convergence of Multistep Methods for Volterra Functional Differential Equations.
Convergence of numerical methods for systems of neutral functional-differential-algebraic equations
A general class of numerical methods for solving initial value problems for neutral functional-differential-algebraic systems is considered. Necessary and sufficient conditions under which these methods are consistent with the problem are established. The order of consistency is discussed. A convergence theorem for a general class of methods is proved.
Convergence of solutions for a fifth-order nonlinear differential equation.
Convergence of solutions of certain fourth-order nonlinear differential equations.