Showing papers in "Acta Mathematica Scientia in 2021"

TL;DR: In this article, a new formulation of solutions to special Riemann-Hilbert problems with the identity jump matrix, corresponding to the reflectionless inverse scattering transforms, is proposed and applied to construction of soliton solutions to each system in the considered nonlocal reversetime NLS hierarchies.

TL;DR: In this paper, a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral frictionless contact condition, and nonmonotone multivalued contact, and friction laws of subdifferential form is studied.

TL;DR: In this article, a new notion of S-asymptotically Bloch type periodic functions is introduced, which can be seen as a generalization of concepts of S -asymptonotically ω-periodic functions and S −asymptic ω -anti-periodics functions.

TL;DR: In this paper, a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space is presented, and a result concerned with the upper semicontinuity and measurability of the solution set of a hemivariational inequality is established.

TL;DR: This work proposes two types of weighted Lasso estimates, depending upon covariates determined by the McDiarmid inequality, and compares the performance of this method with that of former weighted estimates on simulated data, then applies it to do real data analysis.

TL;DR: In this article, the authors studied the Cauchy problem of the incompressible fractional Navier-Stokes equations in critical variable exponent Fourier-Besov-Morrey space.

TL;DR: In this paper, the authors prove the global existence and exponential decay of strong solutions to the three-dimensional nonhomogeneous asymmetric fluid equations with nonnegative density provided that the initial total energy is suitably small.

TL;DR: In this article, a nonlocal foot-and-mouth disease model in a spatially heterogeneous environment, which couples virus-toanimals and animals-to-animals transmission pathways, was proposed.

TL;DR: In this paper, it was shown that the Julia limiting direction of the entire solution f of P(z, f) + F(z)fs = 0, where F is a differential polynomial of f with entire coefficients of growth smaller than that of the whole transcendental F, with the integer s being no more than the minimum degree of all differential monomials in P(p, f).

TL;DR: In this article, the authors prove the existence of a weak hybrid approximation for the nonlinear interaction problem between an incompressible viscous fluid and a nonlinear thermoelastic plate.

TL;DR: In this paper, the authors present the existence, uniqueness, Ulam-Hyers stability and UlamHyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales, with the help of a fixed point approach.

TL;DR: In this paper, the second order mixed partial derivative of the covariance function is decomposed into two parts, one of which coincides with that of fractional Brownian motion and the other of which is bounded by (ts)β−1 up to a constant factor.

TL;DR: In this paper, the authors studied the spatial propagation of an SIR epidemic model with nonlocal diffusion and free boundaries describing the evolution of a disease, and showed that the disease will not spread if the basic reproduction number R0 < 1, or the initial infected area h0, expanding ability μ, and the initial datum S0 are all small enough when $$1 < {R_0} < 1 + {d \over {{\mu _2} + \alpha }}$$�.

TL;DR: In this article, the authors introduced and studied a (p, q)-Mellin transform and its corresponding convolution and inversion, and derived an analogue of the Titchmarsh theorem.

TL;DR: In this paper, sufficient conditions of the energy conservation for weak solutions of incompressible viscoelastic flows are given in a periodic domain in ℝ3, and the coefficient of viscosity μ = 0.

TL;DR: In this article, the exact solution of a 2 × 2 homogeneous system of quasilinear hyperbolic partial differential equations (PDEs) governing the macroscopic production was obtained using the hodograph transformation and differential constraints.

TL;DR: In this article, the dynamics analysis of a delayed HIV infection model with CTL immune response and antibody immune response is investigated by means of Lyapunov functionals and LaSalle invariance principle.

TL;DR: In this article, the case when the lower limit of the Caputo fractional derivative is fixed at the initial time of the impulse is studied, and when it is changed at the end of each interval of action of an impulse is investigated.

TL;DR: In this article, the authors established some oscillation criteria for higher order nonlinear delay dynamic equations of the form, where n ≥ 2, φ = ∣u∣γsgn(u) for γ > 0, ri(1 ≤ i ≤ n) are positive rd-continuous functions and f ∈ C(ℝ, ℝ).

TL;DR: In this article, the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities were studied. And the authors analyzed the hitting probability in different weights and gave an example in the case of subordination.

TL;DR: In this article, the authors studied the mixed radial-angular integrability of parametric Marcinkiewicz integrals along polynomial curves and proved that such operators are bounded on mixed radial angular spaces.

TL;DR: In this paper, the Δh-Gould-Hopper Appell polynomials were introduced and the determinant representation, recurrence relation, shift operators, difference equation, integro-difference equation and partial difference equation satisfied by them were obtained.

TL;DR: In this paper, the proximal relation, regionally proximal and Banach proximal relations of a topological dynamical system for amenable group actions are studied. And the authors prove that the above three relations all coincide on a Banach mean equicontinuous system generated by a group action.

TL;DR: In this article, a high-order numerical method for a space distributed-order time-fractional diffusion equation is proposed, which is proved to be unconditionally stable and convergent with the accuracy O(σ2 + τ2−β + h3), where τ and h are the time step size and the space step size, respectively.

TL;DR: Wang et al. as mentioned in this paper analyzed genomes of SARS-CoV-2 using k-mer natural vector method and compared the similarities of global SARS CoV2 genomes by a new natural metric.

TL;DR: In this paper, the authors proposed an innovation diffusion model with three compartments to investigate the diffusion of an innovation (product) in a particular region, and the model exhibits two equilibria, namely, the adopter-free and an interior equilibrium.

TL;DR: In this article, a Jacobi-collocation spectral method is developed for a Volterraintegro-differential equation with delay, which contains a weakly singular kernel, and the spectral rate of convergence for the proposed method is established in both the L∞-norm and the weighted L2-norm.

TL;DR: In this article, a new algorithm was proposed and proved that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping.

TL;DR: In this paper, the decay rates of the n-step transition probabilities of a branching process with immigration in a random environment were studied. And the large deviation principle for the sequence log Zn was established, and related large deviations were also studied.