The uniform existence of the O element in these carbon-based samples is consistent with the previous reports [39, 40].
Afterwords, by using the above uniform coercive estimate, we derive local uniform existence and uniform a priori estimates of a solution of problem (1.1 - 1.3 1.1 - 1.3
Using the spectral theory of weakly convergent sequences of finite graphs, we prove the uniform existence of the integrated density of states for a large class of infinite graphs.
This rule was the first instance in Christian monastic history of the use of a cenobitic, or uniform communal, existence as the norm, the first departure from the individualistic, exclusively contemplative nature that had previously characterized religious life.
And while he signed innumerable balls during his career and until he died in 1948, there are few of his game-used bats, caps or uniforms in existence.
In the present work, we established a uniform time of existence and estimates for solutions of problem (1.1 - 1.3 1.1 - 1.3
Motivated by previous works, it is interesting to study the global existence, uniform decay, and finite time blow-up of solution to problem (1.1).
In this section we discuss the existence, uniform boundedness of global solutions, and the stability of constant equilibrium solutions for the weakly coupled reaction-diffusion system (1.3).
Again, given this expression, one easily establishes uniform convergence and existence of the limits, mathbb{Q}left y_{0}|y_{-infty}^{-1},y_{1}^{infty}right)={lim}_{m,ntoinfty} mathbb{Q}left y_{0}|y_{-m}^{-1},{y_{1}^{n}}right).
Theorem 3.1 and Theorem 4.1 indicate that the distance θ between impulse points, the values of the impulse coefficients h i k ( i = 1, 2, …, n, k ∈ Z ), and the number A of the impulse points in each interval of length 1 are harmful for the uniform persistence and existence of a unique globally asymptotically stable positive almost periodic solution for the model.
The main results obtained in this paper are completely new and the method used in this paper provides a possible method to study the uniform persistence and existence of a unique globally asymptotically stable positive almost periodic solution of the models with impulsive perturbations in biological populations.
