Sentence examples for between the finite time from inspiring English sources

The aim of our work is to find a relation between the finite time blow-up of solutions and the positive initial energy of problem (1.1 - 1.3 1.1 - 1.3mproved convexity method.

Soufi [9] investigated a similar problem and established a relation between the finite time blow-up of solutions and the negativity of initial energy for 1 < q ≤ 2 by using a gamma-convergence argument.

Lately, by using the energy method, Gao [11] established a relation between the finite time blow-up of solutions and the positivity of initial energy of problem (1.4 - 1.5 1.4 - 1.5

For the initial boundary value problem of quasilinear parabolic equations, Liu and Wang [13] studied the local p-Laplacian equation u t = Δ p u + f ( u ), x ∈ Ω, t > 0, with homogeneous Dirichlet boundary condition, and built a relation between the finite time blow-up of solutions and the positivity of initial energy.

Recently, Niculescu and Rovenţa [14] considered the nonlocal quasilinear equation u t = Δ p u + f ( | u | ) − 1 m ∫ Ω f ( | u | ) d x, x ∈ Ω, t > 0, with the Neumann-Robin boundary condition (1.2), and established a relation between the finite time blow-up solutions and the negative initial energy, when p ≥ 2 and f belongs to a large class of nonlinearities by virtue of a convexity argument.

The fractional pathway analysis was adjusted to account for the finite time resolution of the experiments.

From the results of the convergence and parameter studies, a high correlation between the finite-time Lyapunov exponents and the contact time per period of the excitation is observed.

The finite-time transition between stationary setpoints of nonlinear SISO systems is considered as a scenario for the presentation of a new design approach for inversion-based feedforward control.

The finite-time transition between equilibrium points of the isothermal Van de Vusse CSTR model is considered as a benchmark scenario to present two design approaches of nonlinear feedforward control which do not distinguish between minimum-phase and nonminimum-phase systems in contrast to conventional system inversion techniques.

In [10], the finite-time stochastic outer synchronization between two complex dynamical networks with different topological structure was studied.

In this section, the finite-time anti-synchronization of neural networks will be studied between system (1) and system (3).