Results 51 to 60 of about 651,324 (288)

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

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

On the Liouville Theorem for Harmonic Maps [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
Suppose M M and N N are complete Riemannian manifolds; M M with Ricci curvature bounded below by − A - A , A ⩾ 0 A \geqslant 0 , N N with sectional curvature bounded above by a positive constant K
openaire   +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

Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points

open access: yes, 2014
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
core   +1 more source

On qualitative analysis of an ecological dynamics with time delay

open access: yesAsian Journal of Control, EarlyView.
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley   +1 more source

On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators

open access: yesCumhuriyet Science Journal, 2019
In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
doaj   +1 more source

Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps

open access: yes, 2014
This paper is a study of harmonic maps from Riemannian polyhedra to (locally) non-positively curved geodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functions and harmonic maps under two different assumptions ...
Sinaei, Zahra
core   +2 more sources

A Lot of “Counterexamples” to Liouville's Theorem

open access: yesJournal of Mathematical Analysis and Applications, 1996
We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions and, in addition, limz→∞ exp(|z|α) f(j)(z) = 0 on any plane strip for every f ∈ M and for every derivation index j.
openaire   +4 more sources

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

open access: yesAsian Journal of Control, EarlyView.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari   +2 more
wiley   +1 more source

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