Finite-difference method for parameterized singularly perturbed problem.
Finite-dimensional differential algebraic groups and the Picard-Vessiot theory
We make some observations relating the theory of finite-dimensional differential algebraic groups (the ∂₀-groups of [2]) to the Galois theory of linear differential equations. Given a differential field (K,∂), we exhibit a surjective functor from (absolutely) split (in the sense of Buium) ∂₀-groups G over K to Picard-Vessiot extensions L of K, such that G is K-split iff L = K. In fact we give a generalization to "K-good" ∂₀-groups. We also point out that the "Katz group" (a certain linear algebraic...
Finiteness of bound states of general -body operators
Finiteness of the set of solutions of some boundary-value problems for ordinary differential equations
Finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures
In this paper, we investigate the finite-time adaptive outer synchronization between two complex dynamical networks with nonidentical topological structures. We propose new adaptive controllers, with which we can synchronize two complex dynamical networks within finite time. Sufficient conditions for the finite-time adaptive outer synchronization are derived based on the finite-time stability theory. Finally, numerical examples are examined to demonstrate the effectiveness and feasibility of the...
Finite-time synchronization of chaotic systems with noise perturbation
In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical...
Finite-time topological identification of complex network with time delay and stochastic disturbance
The topology identification issue of complex stochastic network with delay and stochastic disturbance is mainly introduced in this paper. It is known the time delay and stochastic disturbance are ubiquitous in real network, and they will impair the identification of network topology, and the topology capable of identifying the network within specific time is desired on the other hand. Based on these discussions, the finite-time identification method is proposed to solve similar issues problems....
First and third boundary value problems for the equation of the second order with non-continuous coefficients
First integrals for the Duffing-Van der Pol type oscillator.
First integrals for two linearly coupled nonlinear Duffing oscillators.
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems.
First order impulsive differential inclusions with periodic conditions.
First order integro-differential equations in Banach algebras involving Carathéodory and discontinuous nonlinearities.
First order linear ordinary differential equations in associative algebras.
First phases of the associated equation with parameters for the differential equation
First-order autoregressive processes with time-dependent random parameters
First-order differential equations of the hyperbolic type.
First-order differential equations with several deviating arguments: Sturmian comparison method in oscillation theroy: I.
First-order singular and discontinuous differential equations.
Five integral inequalities; an inheritance from Hardy and Littlewood.