Lie point symmetries of autonomous scalar first-order Itô stochastic delay ordinary differential equations

DOI10.1007/s10959-021-01103-7zbMath1505.34123OpenAlexW3161127858WikidataQ115382011 ScholiaQ115382011MaRDI QIDQ2677012

Aminu M. Nass

Publication date: 29 September 2022

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-021-01103-7

zbMATH Keywords

Lie symmetryinfinitesimalsdelay stochastic differential equation

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Symmetries, invariants of functional-differential equations (34K04)

Cites Work

• Unnamed Item
• When is a stochastic integral a time change of a diffusion?
• Symmetries of Itô and Stratonovich dynamical systems and their conserved quantities
• Some invariant solutions of field equations with axial symmetry for empty space containing an electrostatic field
• \(W\)-symmetries of jump-diffusion Itô stochastic differential equations
• On symmetries of stochastic differential equations
• Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay
• Lie symmetry reductions and integrability of approximated small delay stochastic differential equations
• Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
• Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
• Symmetry of stochastic non-variational differential equations
• On the definition of an admitted Lie group for stochastic differential equations
• Stochastic delay differential neoclassical growth model
• Integration of stochastic ordinary differential equations from a symmetry standpoint
• Reduction and reconstruction of stochastic differential equations via symmetries
• On maximal Lie point symmetry groups admitted by scalar stochastic differential equations
• Stochastic Delay-Differential Equations
• Numerical Methods for Stochastic Delay Differential Equations Via the Wong--Zakai Approximation
• Symmetries of systems of stochastic differential equations with diffusion matrices of full rank
• Lie-point symmetries and stochastic differential equations: II
• Lie group classification of first-order delay ordinary differential equations
• Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries
• Lie point symmetries of Stratonovich stochastic differential equations
• Random Lie symmetries of Itô stochastic differential equations
• Lie-point symmetries and stochastic differential equations
• On Lie Symmetry Analysis of Certain Coupled Fractional Ordinary Differential Equations
• Symmetry analysis of space-time fractional Poisson equation with a delay
• The group classification of a scalar stochastic differential equation
• W-symmetries of Ito stochastic differential equations
• Symmetries of first‐order stochastic ordinary differential equations revisited
• Symmetry and integrability for stochastic differential equations
• Second-order delay ordinary differential equations, their symmetries and application to a traffic problem
• Einstein's vacuum field equation: Painlevé analysis and Lie symmetries
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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