Results 31 to 40 of about 328,940 (311)

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

open access: yesElectronic 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   +3 more
doaj   +1 more source

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

open access: yesOpuscula 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

Characterization of Domains of Self-Adjoint Ordinary Differential Operators II

open access: yesResults in Mathematics, 2012
We characterize the self-adjoint domains of general even order linear ordinary differential operators in terms of real-parameter solutions of the differential equation.
Xiaoling Hao   +3 more
semanticscholar   +2 more sources

Spectral Curves for Third-Order ODOs

open access: yesAxioms
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

Commuting differential operators of rank 2 with polynomial coefficients

open access: yes, 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

Correlation functions of disorder operators in massive ghost theories [PDF]

open access: yes, 2002
The two-dimensional ghost systems with negative integral central charge received much attention in the last years for their role in a number of applications and in connection with logarithmic conformal field theory.
Bernard D   +9 more
core   +2 more sources

INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER EQUATION WITH CONSTANT COEFFICIENTS

open access: yesVestnik 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

Simple Explicit Formulas for Gaussian Path Integrals with Time-Dependent Frequencies [PDF]

open access: yes, 1998
Quadratic fluctuations require an evaluation of ratios of functional determinants of second-order differential operators. We relate these ratios to the Green functions of the operators for Dirichlet, periodic and antiperiodic boundary conditions on a ...
Chervyakov, A., Kleinert, H.
core   +2 more sources

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

open access: yesJournal 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   +2 more
doaj   +1 more source

The quantum Arnold transformation [PDF]

open access: yes, 2010
By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in
Aldaya, Victor   +3 more
core   +1 more source

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