Results 1 to 10 of about 42 (27)

Double-phase parabolic equations with variable growth and nonlinear sources

Advances in Nonlinear Analysis, 2022
We study the homogeneous Dirichlet problem for the parabolic equations ut−div(A(z,∣∇u∣)∇u)=F(z,u,∇u),z=(x,t)∈Ω×(0,T),{u}_{t}-{\rm{div}}\left({\mathcal{A}}\left(z,| \nabla u| )\nabla u)=F\left(z,u,\nabla u),\hspace{1.0em}z=\left(x,t)\in \Omega \times ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source

Some results for a p(x)-Kirchhoff type variation-inequality problems in non-divergence form

Open Mathematics, 2023
The author of this article concerns with the existence, uniqueness, and stability of the weak solution to the variation-inequality problem. The Kirchhoff operator is a non-divergence form with space variable parameter.
Dong Yan
doaj   +1 more source

Solitary wave solutions and investigation the effects of different wave velocities of the nonlinear modified Zakharov–Kuznetsov model for the wave propagation in nonlinear media

Partial Differential Equations in Applied Mathematics, 2023
The modified Zakharov-Kuznetsov (mZK) model convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics ...
Farah Umme Afrin
doaj   +1 more source

Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem

Open Mathematics, 2023
In this article, we study a class of variational inequality problems with non-Newtonian polytropic parabolic operators. We introduce a mapping with an adjustable parameter to control the polytropic term, which exactly meets the conditions of Leray ...
Wu Tao
doaj   +1 more source

On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy

Advances in Differential Equations, 2014
In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data function.
N. Tuan, B. T. Tran, L. Long
semanticscholar   +2 more sources

On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem

International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 279-291, 1999., 1998
In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
M. Denche
wiley   +1 more source

A system of impulsive degenerate nonlinear parabolic functional‐differential inequalities

International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 59-68, 1995., 1994
A theorem about a system of strong impulsive degenerate nonlinear parabolic functional‐differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear ...
Ludwik Byszewski
wiley   +1 more source

Diffusion processes via parabolic equations: an infinitesimal approach to Lindeberg's limit theorem

Journal of Logic and Analysis, 2009
We approach infinitesimal diffusion processes via a linkage to the diffu- sion equation. By this we obtain Lindeberg's limit theorem and a Lindeberg type limit theorem for diffusion processes by an application of the underspill principle.
H. Weisshaupt
semanticscholar   +1 more source

Almost periodic solutions to systems of parabolic equations

International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 581-586, 1994., 1994
In this paper we show that the second‐order differential solution is 𝕃2‐almost periodic, provided it is 𝕃2‐bounded, and the growth of the components of a non‐linear function of a system of parabolic equation is bounded by any pair of con‐secutive eigenvalues of the associated Dirichlet boundary value problems.
Janpou Nee
wiley   +1 more source

Quasilinearization for some nonlocal problems

International Journal of Stochastic Analysis, Volume 6, Issue 2, Page 117-122, 1993., 1993
The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation ut − Lu = f(t, x, u) with nonlocal boundary conditions u(t,x)=∫Ωϕ(x,y)u(t,y)dy in this paper. The convexity of f in u is relaxed by requiring f(t, x, u) + Mu2 to be convex for some M > 0. The quadratic convergence of monotone sequence is obtained.
Yunfeng Yin
wiley   +1 more source