126 hasil
Menampilkan 1–20 · 0,34 detik · RSS
Nonautonomous Dynamical Systems
Scopus
ISSN 2353-0626 · De Gruyter · 126 artikel di indeks
-
Artikel Jurnal
Exiting measures for random walks on infinite rooted trees
We consider conformal iterated function systems (CIFS) that are induced by an infinite rooted tree TT, which we call TT-conformal iterated function systems (TT-CIFS). We focus on the parameterized families of TT-CIFS that satisfy the trasversality condition and give a dimension formula for the…
-
Artikel Jurnal
Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques
The present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while imposing suitable assumptions on the source term…
-
Artikel Jurnal
On a fractional Cauchy problem with singular initial data
This article is dedicated to establishing the existence and uniqueness of solutions for the following problem: Dαx(t)=F(t,x(t))x(0)=x0,\left\{\begin{array}{l}{D}^{\alpha }x\left(t)=F\left(t,x\left(t))\hspace{1.0em}\\ x\left(0)={x}_{0},\hspace{1.0em}\end{array}\right. where x0{x}_{0} is the singular…
-
Artikel Jurnal
Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one. Then, we establish many interesting results on the space of such…
-
Artikel Jurnal
The impact of delay on second-order evolution equations
This article aims to exhibit new instability results on the effects of arbitrary delay on a class of second-order evolution equations involving in a Hilbert space. More precisely, we prove that arbitrary finite, large or small delay might remarkably destroy the stability of a well-behaved (stable)…
-
Artikel Jurnal
Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space
In this article, we consider a nonlinear elliptic unilateral equation whose model is −∑i=1N∂iσi(x,u,∇u)+L(x,u,∇u)+N(x,u,∇u)=μ−divϕ(u)inΩ.-\mathop{\sum }\limits_{i=1}^{N}{\partial }^{i}{\sigma }_{i}\left(x,u,\nabla u)+L\left(x,u,\nabla u)+N\left(x,u,\nabla u)=\mu -{\rm{div}}\phi…
-
Artikel Jurnal
Quasi-semigroups of operators on homogeneous time scales
This article discusses the concept of quasi-semigroups of bounded linear operators within the framework of time scales, encompassing both continuous and discrete cases. It extends the classical theory of quasi-semigroups of operators, which serves as a generalization of strongly continuous…
-
Artikel Jurnal
The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays. In addition to giving some new theorems on the existence and uniqueness of solutions to…
-
Artikel Jurnal
Existence results for some generalized Sigmoid Beverton-Holt models in time scales
In this article, we investigate some generalized Sigmoid Beverton-Holt models in time scales, and we obtain the existence and uniqueness of a globally attractive almost periodic solution to the associated dynamic equations with or without survival rates under some suitable assumptions. An example…
-
Artikel Jurnal
Optimal strategies for controlling the outbreak of COVID-19: Reducing its cost and duration
Social distancing plays an essential role in controlling the spread of an epidemic, but changing the behavior of individuals regarding social distancing is costly. In order to make a rational decision, individuals must compare the cost of social distancing and the cost of infection. People are…
-
Artikel Jurnal
Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays
In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus…
-
Artikel Jurnal
Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces
We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of resolvent operators, and the fixed point theory…
-
Artikel Jurnal
Mild solution in the α-norm for some partial integrodifferential equations involving a nonlocal condition
In this work, we investigate the existence of mild solutions in the α\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.
-
Artikel Jurnal
One-dimensional inverse problems of determining the kernel of the integro-differential heat equation in a bounded domain
The integro-differential equation of heat conduction with the time-convolution integral on the right side is considered. The direct problem is the initial-boundary problem for this integro-differential equation. Two inverse problems are studied for this direct problem consisting in determining a…
-
Artikel Jurnal
p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection
This article establishes the existence of a weak solution for a class of p(x)p\left(x)-Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by utilizing the theory of topological degree…
-
Artikel Jurnal
Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv+εP5(x,y,z,u,v)+h5(t),\begin{array}{r}\dot{x}=-y…
-
Artikel Jurnal
Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data
In this article, we study the following noncoercive quasilinear parabolic problem ∂u∂t−diva(x,t,u,∇u)+ν∣u∣s−1u=λ∣u∣p−2u∣x∣p+finQT,u=0onΣT,u(x,0)=u0inΩ,\left\{\begin{array}{ll}\frac{\partial u}{\partial t}-\hspace{0.1em}\text{div}\hspace{0.1em}a\left(x,t,u,\nabla u)+\nu {| u| }^{s-1}u=\lambda…
-
Artikel Jurnal
Generalized BDSDEs driven by fractional Brownian motion
This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter HH greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.
-
Artikel Jurnal
Mathematical modeling of the dynamics of vector-borne diseases transmitted by mosquitoes : taking into account aquatic stages and gonotrophic cycle
In this paper, we formulate a mathematical model of vector-borne disease dynamics. The model is constructed by considering two models : a baseline model of vector population dynamics due to Lutambi et al. that takes into account the development of the aquatic stages and the female mosquitoes…
-
Artikel Jurnal
On the existence of global weak solutions of a 2D sediment transport model
In the abstract, homogenize the references as follows: In this paper,we study the existence of global weak solutions of a two dimensionnal model. The model is inspired by the one studied in [Math. Models Methods Appl. Sci. 19 (2009), 477-499]. Our model is a particular case of the two-dimensionnal…