Results 21 to 30 of about 2,195,788 (280)

On Factorizations of Selfadjoint Ordinary Differential Operators [PDF]

Proceedings of the American Mathematical Society, 1982
Consider an ordinary linear differential operator L L , of order
openaire   +2 more sources

Weighted Fractional Calculus: A General Class of Operators

Fractal and Fractional, 2022
We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
doaj   +1 more source

Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We characterize the domains of very general ordinary differential operators of any order, even or odd, with complex coefficients and arbitrary deficiency index.
Xiaoling Hao, Maozhu Zhang, Jiong Sun, Anton Zettl   +3 more
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Semi-boundedness of Ordinary Differential Operators

Journal of Differential Equations, 1995
The paper concerns the boundedness from below and above of very general symmetric quasi-differential operators. These operators are induced by (regular or singular) symmetric quasi-differential expressions which are generated by a certain class of matrices whose elements are only assumed to be locally integrable.
Möller, M., Zettl, A.
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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

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

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li, Gao, Xing, Rosenkranz, Markus, Markus Rosenkranz, Li Guo, Xing Gao   +5 more
core   +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

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