Results 21 to 30 of about 100,397 (305)

Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential

open access: yesAbstract and Applied Analysis, 2016
A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.
Aleksandr Mikhailovich Kholkin
doaj   +1 more source

Differential operators on the free algebras [PDF]

open access: yesSelecta Mathematica, 2011
25 ...
Iyer, Uma N., McCune, Timothy C.
openaire   +3 more sources

On the “splitting” effect for multipoint differential operators with summable potential

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the differential operator of the fourth order with multipoint boundary conditions. The potential of the differential operator is summable function on a finite segment.
Sergey I Mitrokhin
doaj   +1 more source

Splines and fractional differential operators [PDF]

open access: yesInternational Journal of Wavelets, Multiresolution and Information Processing, 2020
Several classes of classical cardinal B-splines can be obtained as solutions of operator equations of the form [Formula: see text] where [Formula: see text] is a linear differential operator of integral order. In this paper, we consider classes of generalized B-splines consisting of cardinal polynomial B-splines of complex and hypercomplex orders and ...
openaire   +2 more sources

On Inequalities for Differential Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
openaire   +1 more source

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

open access: yesAxioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim   +2 more
doaj   +1 more source

A Characterization of Differential Operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1967
In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators.
openaire   +1 more source

GMRES for the Differentiation Operator [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2009
We investigate using the gmres method with the differentiation operator. This operator is unbounded and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane.
openaire   +1 more source

Boundary triples and Weyl m-functions for powers of the Jacobi differential operator

open access: yes, 2020
The abstract theory of boundary triples is applied to the classical Jacobi differential operator and its powers in order to obtain the Weyl m-function for several self-adjoint extensions with interesting boundary conditions: separated, periodic and those
Frymark, Dale,
core   +1 more source

On Ulam Stability of a Partial Differential Operator in Banach Spaces

open access: yes, 2023
In this paper, we prove that, if infx∈A|f(x)|=m>0, then the partial differential operator D defined by D(u)=∑k=1nfk∂u∂xk−fu, where f,fi∈C(A,R),u∈C1(A,X),i=1,…,n,I⊂R is an interval, A=I×Rn−1 and
Diana Otrocol, Dorian Popa, Adela Novac
core   +1 more source

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