Zobrazeno 1 - 10
of 1 431
pro vyhledávání: '"unbounded domain"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 4, Pp 5456-5498 (2024)
This paper is concerned with invariant measures of fractional stochastic delay Ginzburg-Landau equations on the entire space $ \mathbb{R}^n $. We first derive the uniform estimates and the mean-square uniform smallness of the tails of solutions in co
Externí odkaz:
https://doaj.org/article/0c851dedc9a244d78a6af5ab6d3711ef
Autor:
Gwinner Joachim
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 121-140 (2024)
This article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions. This interface problem involves
Externí odkaz:
https://doaj.org/article/4d47c97b822643bc8af81e5d42f436e5
Autor:
Özlem Kaytmaz
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9184-9194 (2024)
In this paper, we deal with an inverse problem of determining the source function in a kinetic equation that is considered in an unbounded domain with Cauchy data. We prove the uniqueness of the solution of an inverse problem by means of a pointwise
Externí odkaz:
https://doaj.org/article/6d1f7fec7f704d95be2aa7d964117570
Autor:
Ruonan Liu, Tomás Caraballo
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8020-8042 (2024)
In this paper, the asymptotic behavior of solutions to a fractional stochastic nonlocal reaction-diffusion equation with polynomial drift terms of arbitrary order in an unbounded domain was analysed. First, the stochastic equation was transformed int
Externí odkaz:
https://doaj.org/article/10cb269b0ed84b65a4eeaf580fc4f554
Publikováno v:
Scientific African, Vol 23, Iss , Pp e02108- (2024)
In this paper, by using the Ge and Ren extension of coincidence degree theory, we established the existence of a solution for a resonant mixed fractional order p-Laplacian boundary value problem (BVP) on the half-line. In the process, we solved the c
Externí odkaz:
https://doaj.org/article/5deddec6082e43dcadf769a2ff3124f2
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30537-30561 (2023)
In this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space $ \mathbb{R}^n $. Under a general assumption on the memory kernel $ k $, the existence
Externí odkaz:
https://doaj.org/article/b77df313eb9f4273b8193eb4d28b97f3
Autor:
Mikhail Borsuk, Damian Wiśniewski
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 33, Pp 1-20 (2023)
In this paper we consider the Dirichlet problem for quasi-linear second-order elliptic equation with the $m(x)$-Laplacian and the strong nonlinearity on the right side in an unbounded cone-like domain. We study the behavior of weak solutions to the p
Externí odkaz:
https://doaj.org/article/e4b77c1a93644e2689dc1e024abfd1eb
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 2, Pp 67-88 (2023)
We research the well-posedness of the problem without initial condition for nonlinear parabolic variational inequalities with variable time-delay. To justify our results, we impose some assumptions on the solution behavior and growth of the data-in a
Externí odkaz:
https://doaj.org/article/b01d0ee2b5bc4821a5ea9e94d83632f3
Autor:
Xiao Bin Yao
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-34 (2023)
Abstract This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on R n $\mathbb{R}^{n}$ . First, we prove the well-posedness of the equatio
Externí odkaz:
https://doaj.org/article/8b84505c4f384ef5b2bf8cb717bba79f
Publikováno v:
Fractal and Fractional, Vol 8, Iss 3, p 163 (2024)
The soliton propagation of the fractional-in-space nonlinear Schrodinger equation (NLSE) is much more complicated than that of the corresponding integer NLSE. The aim of this paper is to discover some novel fractal soliton propagation behaviors (FSPB
Externí odkaz:
https://doaj.org/article/aa030a74bed7414f9f7f3c59af540e76