Results 51 to 60 of about 646,050 (293)

A proof of Liouville’s theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire   +2 more sources

On a mixed nonlinear boundary value problem with the right Caputo fractional derivative and multipoint closed boundary conditions

open access: yesAIMS Mathematics, 2023
This paper is concerned with the study of a new class of boundary value problems involving a right Caputo fractional derivative and mixed Riemann-Liouville fractional integral operators, and a nonlocal multipoint version of the closed boundary conditions.
Bashir Ahmad   +3 more
doaj   +1 more source

Higher-dimensional solutions for a nonuniformly elliptic equation

open access: yes, 2013
We prove $m$-dimensional symmetry results, that we call $m$-Liouville theorems, for stable and monotone solutions of the following nonuniformly elliptic equation \begin{eqnarray*}\label{mainequ} - div(\gamma(\mathbf x') \nabla u(\mathbf x)) =\lambda ...
Fazly, Mostafa
core   +1 more source

New variants of fuzzy optimal control problems

open access: yesAsian Journal of Control, EarlyView.
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus   +3 more
wiley   +1 more source

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

open access: yes, 2013
We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations,
Almeida   +39 more
core   +1 more source

Liouville theorems for stable solutions of the weighted Lane-Emden system [PDF]

open access: yes, 2015
We examine the general weighted Lane-Emden system \begin{align*} -\Delta u = \rho(x)v^p,\quad -\Delta v= \rho(x)u^\theta, \quad u,v>0\quad \mbox{in }\;\mathbb{R}^N \end{align*} where $10$.
Hatem Hajlaoui, A. Harrabi, F. Mtiri
semanticscholar   +1 more source

Liouville theorems for harmonic maps [PDF]

open access: yesInventiones Mathematicae, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, EarlyView.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi   +3 more
wiley   +1 more source

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