Results 1 to 10 of about 35 (35)
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
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
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
Convexity theory for the term structure equation
, 2008 Interest rate theory, Bond options, Convexity, Parameter monotonicity, Log-convexity, Log-concavity, Affine term structure, 91B28, 35K99, E43, G13,
Johan Tysk +3 more
core +1 more source
Partial Differential Equations in Applied MathematicsThis study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj +1 more source
Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]
, 2011 MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
core
Advances in Nonlinear AnalysisWe consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj +1 more source
Partial Differential Equations in Applied MathematicsThe Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman +6 more
doaj +1 more source
The modified BenjaminBona-Mahony equation via the extended generalized Riccati equation mapping method [PDF]
, 2012 The generalized Riccati equation mapping is extended together with the ( ) expansion method and is a powerful mathematical tool for solving nonlinear partial differential equations.
F A Abdullah +3 more
core