Results 211 to 220 of about 4,311,587 (239)

On growing solutions of nonlinear ordinary differential equations

Mathematical Notes, 1997
The author considers the solutions of an \(m\)th-order differential equation \[ w^{(m)}= Q(r,w, \dots, w^{(m-1)}), \] satisfying the condition: \[ w^{(m-i)}(r_*)> {t_*\over(i-1)!} r_*^{i-1}, \quad \text{for }i=1,2, \dots, m. \] If \(Q\) is a Carathéodory-type function on \([r_*,+\infty [\times \mathbb{R}^m\), such that for some \(k\in\{0,1, \dots, m-2\}
openaire   +2 more sources

Stability Criteria for Nonlinear Ordinary Differential Equations

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963
The main results of this work are three sufficient conditions for the (1) stability, (2) uniform asymptotic stability in the large and (3) instability, of the equilibrium point $x = 0$ of the system of differential equations: $\dot x = f(t,x)$, $f(t,0) = 0$. Stated roughly these conditions are: The point $x = 0$ is (1) stable if $x'f(t,x)$ is a concave
openaire   +1 more source

On Nonlinear Systems of Ordinary Differential Equations

1988
The paper gives some analytical representations and numerical methods for the solutions of systems of ordinary differential equations with emphasis of the formal side, using the connection to the linear partial differential equations in the case first mentioned.
openaire   +1 more source

Piecewise homotopy methods for nonlinear ordinary differential equations

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Exact linearization of nonlinear ordinary autonomous differential equations

Programming and Computer Software, 2000
Many methods for finding exact solutions to nonlinear ordinary differential equations (ODE) are based on certain euristic rules. The author suggested a newexact linearization method that provides an algorithmic procedure for constructing exact solutions for some important classes of ODEs [1].
openaire   +2 more sources

Nonlinear Ordinary Differential Equations

2016
Martin Hermann, Masoud Saravi
openaire   +1 more source

Qualitative Analysis of Two Systems of Nonlinear First-Order Ordinary Differential Equations for Biological Systems

Mathematical Methods in the Applied Sciences, 2022
Benjamin Wacker, Jan Schlüter
exaly  

Meromorphic Solutions of Nonlinear Ordinary Differential Equations

Communications in Nonlinear Science and Numerical Simulation, 2010
Nikolay A Kudryashov
exaly  

A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P‐Type. I

Journal of Mathematical Physics, 1980
M J Ablowitz, A Ramani, H Segur
exaly  

Explicit Expressions for Meromorphic Solutions of Autonomous Nonlinear Ordinary Differential Equations

Communications in Nonlinear Science and Numerical Simulation, 2011
Nikolay A Kudryashov, Maria V Demina
exaly