Results 61 to 70 of about 16,357 (168)

The stability of Cohen–Grossberg neural networks with time dependent delays

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations ...
Il'ya V. Boykov, Vladimir A. Rudnev, Alla I. Boykova   +2 more
doaj   +1 more source

Linearization: Geometric, Complex, and Conditional

Journal of Applied Mathematics, 2012
Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary.
Asghar Qadir
doaj   +1 more source

On non-linear boundary value problems and parametrisation at multiple nodes

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We show how a suitable interval division and parametrisation technique can help to essentially improve the convergence conditions of the successive approximations for solutions of systems of non-linear ordinary differential equations under non-local ...
András Rontó, Miklós Rontó, Varha Jana   +2 more
doaj   +1 more source

Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations

Journal of Mathematical Analysis and Applications
We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements parameterizing these systems. For each class from the constructed chain of nested gauged classes of such systems, we
Boyko, Vyacheslav M., Lokaziuk, Oleksandra V., Popovych, Roman O.   +2 more
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Evolution Equations with Liouville Derivative on $\mathbb{R}$ without Initial Conditions

Mathematics
New classes of evolution differential equations with the Liouville derivative in Banach spaces are studied. Equations are considered on the whole real line and are not endowed by the initial conditions.
Vladimir E. Fedorov, Nadezhda M. Skripka
doaj   +1 more source

Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations

Journal of Differential Equations, 1982
AbstractThis paper is concerned with linear nonautonomous systems of ordinary differential equations. A criterion for exponential separation in terms of exponential dichotomy is given. As corollaries we obtain the roughness theorem for exponential separation and the new result that an upper triangular system on a half-line is exponentially separated if
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Carleman linearization of differential-algebraic equations systems

Results in Applied Mathematics
Carleman linearization is a mathematical technique that transforms nonlinear dynamical systems into infinite-dimensional linear systems, enabling simplified analysis.
Marcos A. Hernández-Ortega, C.M. Rergis, A. Román-Messina, Erlan R. Murillo-Aguirre   +3 more
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Observer Design for a Class of Nonlinear Descriptor Systems: A Takagi-Sugeno Approach with Unmeasurable Premise Variables

Journal of Control Science and Engineering, 2015
The Takagi-Sugeno (T-S) fuzzy observer for dynamical systems described by ordinary differential equations is widely discussed in the literature.
J. Soulami, A. El Assoudi, M. Essabre, M. Habibi, E. El Yaagoubi   +4 more
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Efficient Spectral Galerkin and Collocation Approaches Using Telephone Polynomials for Solving Some Models of Differential Equations with Convergence Analysis

Mathematics
This study presents Galerkin and collocation algorithms based on Telephone polynomials (TelPs) for effectively solving high-order linear and non-linear ordinary differential equations (ODEs) and ODE systems, including those with homogeneous and ...
Ramy Mahmoud Hafez, Hany Mostafa Ahmed, Omar Mazen Alqubori, Amr Kamel Amin, Waleed Mohamed Abd-Elhameed   +4 more
doaj   +1 more source

Global solvability, stability and oscillation criteria for systems of two first-order pseudo linear ordinary differential equations

, 2020
In this paper we use the Riccati equation method with other ones to establish global solvability, stability and oscillation criteria for a class of two dimensional nonlinear systems of ordinary differential equations, which is a generalization of wide classes of second order nonlinear ordinary differential equations, studied by many authors.
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