Cover Image

On the solution manifolds for algebraic-delay systems

UDC 517.9 Differential equations with state-dependent delays specify a semiflow of continuously differentiable solution operators, in general, only on an associated submanifold of the Banach space $C^1([-h,0],R^n).$ We extend a recent result on the simplicity of these {\it solution manifolds} to sys...

Full description

Saved in:

Bibliographic Details
Date:	2024
Main Author:	Walther, Hans-Otto
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2024
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7663
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the solution manifolds for algebraic-delay systems
by: H.-O. Walther
Published: (2023)

Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
by: Munthe-Kaas, Hans Z., et al.
Published: (2024)

On the asymptotics of integral manifolds of singularly perturbed systems with delay
by: Cherevko, I. M., et al.
Published: (1999)

Realistic correct systems implementation
by: Goerigk, Wolfgang, et al.
Published: (2003)

The Laplace-Beltrami Operator on the Surface of the Ellipsoid
by: Volkmer, Hans
Published: (2024)

On the Hill Discriminant of Lamé's Differential Equation
by: Volkmer, Hans
Published: (2024)

Torus-Equivariant Chow Rings of Quiver Moduli
by: Franzen, Hans
Published: (2020)

Differential-algebraic equations and dynamical systems on manifolds
by: Ju. G. Krivonos, et al.
Published: (2016)

Will Informatics be able to Justify the Construction of Large Computer Based Systems? Part II. Trusted compiler implementation
by: Goerigk, Wolfgang, et al.
Published: (2003)

Expansion for a Fundamental Solution of Laplace's Equation in Flat-Ring Cyclide Coordinates
by: Bi, Lijuan, et al.
Published: (2022)

Investigation of systems of differential equations with delays and constraints imposed on the delays and derivatives of the solutions
by: Yu. Sliusarchuk
Published: (2019)

Investigation of systems of differential equations with delays and constraints imposed on the delays and derivatives of the solutions
by: Slyusarchuk, V. Yu., et al.
Published: (2019)

Reduction of ∞-Algebras of Observables on Multisymplectic Manifolds
by: Blacker, Casey, et al.
Published: (2024)

On the practical $μ$-stability of solutions of standard systems with delay
by: Martynyuk, A. A., et al.
Published: (1999)

On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: C. Jendoubi
Published: (2020)

On the theory of integral manifolds for some delayed partial differential equations with nondense domain
by: Jendoubi, C., et al.
Published: (2020)

On the solution of a linear Noetherian boundary-value problem for a differential-algebraic system with lumped delay by the method of least squares
by: S. M. Chujko
Published: (2019)

Lie-algebraic structure of integrable nonlinear dynamical systems on extended functional manifolds
by: Pritula, N. N., et al.
Published: (1997)

Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds
by: Liu, Chiu-Chu Melissa, et al.
Published: (2017)

Quadratic systems with delay
by: I. A. Dzhalladova, et al.
Published: (2013)

Representation of solutions of linear differential systems of second-order with constant delays
by: Z. Svoboda
Published: (2016)

Almost periodic solutions of systems with delay and nonfixed times of impulsive action
by: A. V. Dvornyk, et al.
Published: (2016)

Periodic solutions of “predator–prey” systems with continuous delay and periodic coefficients
by: Borzdyko, V. I., et al.
Published: (2010)

Representation of solutions of linear differential systems of second-order with constant delays
by: Svoboda, Z.
Published: (2016)

Variation formulas for solution of delay differential equations with mixed initial condition and delay perturbation
by: T. Tadumadze
Published: (2014)

Almost periodic solutions of systems with delay and nonfixed times of impulsive action
by: Dvornyk, A. V., et al.
Published: (2016)

Finding of periodic solution of the Mathieu equation with the delay
by: Yu. Ye. Bokhonov
Published: (2019)

Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind
by: Cohl, Howard S., et al.
Published: (2021)

Dichotomy on half-axes, and bounded on the whole axis solutions of linear systems with delay
by: A. A. Bojchuk, et al.
Published: (2015)

Robust stability of systems with delay
by: Mustafaeva, R., et al.
Published: (1995)

Variation formulas for solution of delay differential equations taking into account mixed initial condition and delay perturbation
by: Tadumadze, T.
Published: (2014)

On the asymptotic stability of solutions of nonlinear delay differential equations
by: C. Tunз, et al.
Published: (2020)

Classical solutions of hyperbolic IBVPs with state dependent delays
by: Czernous, W.
Published: (2010)

Special Solutions of Bi-Riccati Delay-Differential Equations
by: Berntson, B.K.
Published: (2018)

Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups
by: Calvaruso, G., et al.
Published: (2010)

Asymptotic limits of solutions of linear systems of functional-differential equations with linear and constant delays
by: H. P. Peliukh, et al.
Published: (2020)

Construction of Exponential Estimates as Solution Nonlinear System With Delays Based on Hale – Lunell Inequality
by: V. P. Martseniuk, et al.
Published: (2013)

Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
by: J. Diblik, et al.
Published: (2013)

Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
by: Diblik, J., et al.
Published: (2013)

Periodic solutions of impulsive systems with a small delay in the critical case of second order
by: Boichuk, A.A., et al.
Published: (1998)