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Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 1120-1133 (2021)
A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 949-962 (2021)
This paper is concerned with a chemotaxis system u t = Δ u m − ∇ ⋅ ( χ 1 ( w ) u ∇ w ) + μ 1 u ( 1 − u − a 1 v ) , x ∈ Ω , t > 0 , v t = Δ v n − ∇ ⋅ ( χ 2 ( w ) v ∇ w ) + μ 2 v ( 1 − a 2 u − v ) , x ∈ Ω , t > 0 , w
Autor:
Lotfi Jlali
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 898-908 (2021)
In this paper, we study the long time decay of global solution to the 3D incompressible Navier-Stokes equations. We prove that if u ∈ C ( R + , X − 1 , σ ( R 3 ) ) u\in {\mathcal{C}}\left({{\mathbb{R}}}^{+},{{\mathcal{X}}}^{-1,\sigma }\left({{\m
Autor:
Qiaozhen Zhao, Dejian Huang
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 747-759 (2021)
In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 927-939 (2021)
We study the bifurcation diagrams and exact multiplicity of positive solutions for the one-dimensional prescribed mean curvature equation − u ′ 1 + u ′ 2 ′ = λ u 1 + u p , − L < x < L , u ( − L ) = u ( L ) = 0 , \left\{\begin{array}{l}-{
Publikováno v:
Special Matrices, Vol 10, Iss 1, Pp 23-33 (2021)
In this article, we present some perturbation bounds for the Takagi vector matrix when the original matrix undergoes the additive or multiplicative perturbation. Two numerical examples are given to illuminate these bounds.
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 690-705 (2021)
In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given. Existence, uniqueness a
Autor:
Nassar H. S. Haidar
Publikováno v:
Demonstratio Mathematica, Vol 54, Iss 1, Pp 212-232 (2021)
The paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with introduction of new concepts like the smoothing operator and semi-harmonic summation. The
Publikováno v:
Nonautonomous Dynamical Systems, Vol 8, Iss 1, Pp 27-45 (2021)
In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove
Publikováno v:
Demonstratio Mathematica, Vol 54, Iss 1, Pp 68-84 (2021)
In this article, we prove the generalized Hyers-Ulam-Rassias stability for the following composite functional equation:f(f(x)−f(y))=f(x+y)+f(x−y)−f(x)−f(y),f(f\left(x)-f(y))=f\left(x+y)+f\left(x-y)-f\left(x)-f(y),whereffmaps from a(β,p)\left