Results 11 to 20 of about 7,463,510 (319)

Maximum Principles for Fractional Differential Inequalities with Prabhakar Derivative and Their Applications

Fractal and Fractional, 2022
This paper is devoted to studying a class of fractional differential equations (FDEs) with the Prabhakar fractional derivative of Caputo type in an analytical manner.
Mohammed Al-Refai, Ameina Nusseir, Sharifa Al-Sharif   +2 more
doaj   +1 more source

Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains

Journal of Differential Equations, 2021
In this paper, we consider the following non-linear equations in unbounded domains Ω with exterior Dirichlet condition: { ( − Δ ) p s u ( x ) = f ( u ( x ) ) , x ∈ Ω , u ( x ) > 0 , x ∈ Ω , u ( x ) = 0 , x ∈ R n ∖ Ω , where ( − Δ ) p s is the fractional ...
Zhao Liu, Zhao Liu
semanticscholar   +1 more source

Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences

Advanced Nonlinear Studies, 2021
This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators:
Leite Edir Junior Ferreira
doaj   +1 more source

On a free boundary value problem for the anisotropic N-Laplace operator on an N−dimensional ring domain

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂𝕉N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
doaj   +1 more source

Maximum principles for the fractional p-Laplacian and symmetry of solutions [PDF]

Advances in Mathematics, 2017
In this paper, we consider nonlinear equations involving the fractional p-Laplacian $$ (-\lap)_p^s u(x)) \equiv C_{n,s,p} PV \int_{\mathbb{R}^n} \frac{|u(x)-u(y)|^{p-2}[u(x)-u(y)]}{|x-z|^{n+ps}} dz= f(x,u).$$ We prove a {\em maximum principle for anti ...
Wenxiong Chen, Congming Li
semanticscholar   +1 more source

The uniqueness of the solution for the definite problem of a parabolic variational inequality

Journal of Inequalities and Applications, 2016
The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
doaj   +1 more source

Equivalents of maximum principles for several spaces

Topological Algebra and its Applications, 2022
According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj   +1 more source

Maximum Principles for Matrix-Valued Analytic Functions [PDF]

The American mathematical monthly, 2019
To what extent is the maximum modulus principle for scalar-valued analytic functions valid for matrix-valued analytic functions? In response, we discuss some maximum norm principles for such functions that do not appear to be widely known, deduce maximum
Alberto A. Condori
semanticscholar   +1 more source

About nondecreasing solutions for first order neutral functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Conditions that solutions of the first order neutral functional differential equation \[ (Mx)(t)\equiv x^{\prime }(t)-(Sx^{\prime })(t)-(Ax)(t)+(Bx)(t)=f(t), t\in \lbrack 0,\omega ], \] are nondecreasing are obtained.
Alexander Domoshnitsky, A. Maghakyan, S. Yanetz   +2 more
doaj   +1 more source

The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]

Systems & Control Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitruk, A. V., Kaganovich, A. M.
openaire   +1 more source