Results 21 to 30 of about 138,809 (284)

Differential difference inequalities related to parabolic functional differential equations [PDF]

Opuscula Mathematica, 2010
Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
doaj   +1 more source

Commuting differential operators of rank 2 with polynomial coefficients

, 2015
In this paper we study self-adjoint commuting ordinary differential operators with polynomial coefficients. These operators define commutative subalgebras of the first Weyl algebra.
Oganesyan, Vardan
core   +1 more source

Spectral Curves for Third-Order ODOs

Axioms
Spectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
doaj   +1 more source

INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER EQUATION WITH CONSTANT COEFFICIENTS

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
In this paper we construct an explicit representation of the solution of the Cauchy problem for ordinary differential equation of fractional order with Dzhrbashyan-Nersesyan operators.
Bogatyreva F. T.
doaj   +1 more source

Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations

Journal of Function Spaces, 2021
In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. We also discuss the case of monotone random operators in ordered Banach spaces.
Adil El-Ghabi, Abdelmjid Khchine, Mohamed Aziz Taoudi   +2 more
doaj   +1 more source

Constructive factorization of LPDO in two variables

, 2005
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy, D. Grigoriev, E. A. Kartashova, E. Beke, E. Landau, J. Apel, M. Bronstein, R. Beals, S. P. Tsarev   +8 more
core   +1 more source

New Results on $\mathbf{(}\mathit{r}\mathbf{,}\mathit{k}\mathbf{,}\mathit{\mu }\mathbf{)}$-Riemann–Liouville Fractional Operators in Complex Domain with Applications

Fractal and Fractional
This paper introduces fractional operators in the complex domain as generalizations for the Srivastava–Owa operators. Some properties for the above operators are also provided.
Adel Salim Tayyah, Waggas Galib Atshan
doaj   +1 more source

Darboux transformations for differential operators on the superline

, 2015
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of ...
Hill, Sean, Shemyakova, Ekaterina, Voronov, Theodore   +2 more
core   +1 more source

Bispectral commutative ordinary differential operators.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1993
Let \(A\) be a commutative algebra of ordinary differential operators. We say \(A\) is bispectral if there is a family \(\psi(x,z)\) of joint eigenfunctions for the operators in \(A\) that also satisfies a differential equation of the form \(\Lambda\psi= \theta(x)\psi\), where \(\Lambda\) is some ordinary differential operator in the spectral parameter
openaire   +1 more source

Criterion‐Related Validity of the Neuropsychological Quick Assessment for Screening Cognitive, Motor, and Behavioral Impairments in Patients With Pediatric Brain Tumors: An Observational Pilot Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata, Keita Ueda, Tsukasa Ueno, Katsutsugu Umeda, Kentaro Ueno, Kanade Tanaka, Noyuri Nishida, Rie Yamawaki, Megumi Nukui, Yoshiki Arakawa   +9 more
wiley   +1 more source