Results 211 to 220 of about 14,462 (263)

Asymptotic Behavior of the Solutions of Nonlinear Systems of Ordinary Differential Equations

Journal of Mathematical Sciences, 2015
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Evtukhov, V. M., Talimonchak, M. A.
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Classification of systems of nonlinear ordinary differential equations with superposition principles

Journal of Mathematical Physics, 1984
A system of n first-order nonlinear ordinary differential equations ẋ(t)=f(x,t) is said to admit a superposition principle if its general solution can be written as a function of a finite number m of particular solutions and n constants. Such a system can be associated with the nonlinear action of a Lie group G on a space M.
Shnider, S., Winternitz, P.
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Integration of some nonlinear systems of ordinary differential equations

Annali di Matematica Pura ed Applicata, 1972
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On stability of nonlinear systems of ordinary differential equations

Applied Mathematics and Computation, 2000
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M. M. A. El-Sheikh, A. A. Soliman, M. H. Abdalla   +2 more
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Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems

Computational and Applied Mathematics, 2023
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Narendra Kumar, Diksha Tiwari, Amit Kumar Verma, Carlo Cattani   +3 more
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Periodic Solutions of Nonlinear Nonautonomous Systems of Ordinary Differential Equations

Differential Equations, 2001
The system of differential equations \[ \dot x = (A(t) + B(t, \lambda) + F(t, x, \lambda))x, \quad \tag{1} \] is considered, where \(x\in E_n, A(t), B(t, \lambda)\) and \(F(t, x, \lambda)\) are \(n \times n\)-matrix functions \(\omega\)-periodic in \(t,\lambda\) is a parameter and \(E_s\) is an \(s\)-dimensional vector space.
Terekhin, M. T., Retyunskikh, N. V.
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Periodic Solutions of a Class of Nonlinear Systems of Ordinary Differential Equations

Differential Equations, 2004
The existence of periodic solutions of second-order differential equations has been studied permanently in the 20th century. In particular, in the last ten years, some studies were concentrated on the existence of multiple periodic solutions. The paper is also in this direction. It is based on using Lagrange multipliers in combination with the fibering
Marino, G., Toskano, R.
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Universal formats for nonlinear ordinary differential systems

Journal of Mathematical Physics, 1981
It is shown that very general nonlinear ordinary differential systems (embracing all that arise in practice) may, first, be brought down to polynomial systems (where the nonlinearities occur only as polynomials in the dependent variables) by introducing suitable new variables into the original system; second, that polynomial systems are reducible to ...
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