Results 61 to 70 of about 646,050 (293)
On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
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
A Liouville theorem for polyharmonic functions [PDF]
Suppose that \(u: \mathbb{R}^d\to \mathbb{R}\) satisfies \(\Delta^p u\equiv 0\), where \(p\in\mathbb{N}\) and \(\Delta^p\) denotes the iterated Laplacian. Further, let \(M(f,r)\) denote the mean value of a function \(f\) over the sphere of centre \(0\) and radius \(r\) in \(\mathbb{R}^d\). This note establishes that, if \(\liminf_{r\to\infty} r^{-s}M(u^
openaire +3 more sources
On qualitative analysis of an ecological dynamics with time delay
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
Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points
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
In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
doaj +1 more source
Nabla Fractional Derivative and Fractional Integral on Time Scales
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi +4 more
doaj +1 more source
Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
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
Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps
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
In this paper, we study the oscillatory behavior of solutions for a type of generalized proportional fractional differential equations with forcing and damping terms.
Jehad Alzabut +3 more
doaj +1 more source
Non-Existence Results for Stable Solutions to Weighted Elliptic Systems including Advection Terms
In this paper, we study a non-linear weighted Grushin system including advection terms. We prove some Liouville-type theorems for stable solutions of the system, based on the comparison property and the bootstrap iteration.
Suleman Alfalqi
doaj +1 more source

