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Displaying 1241 – 1260 of 2549

On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point

Jiří Šremr (2025)

Applications of Mathematics

We discuss Lyapunov stability/instability of both lower and upper equilibria of free damped pendulum with periodically oscillating suspension point. We recall the results of Bogolyubov and Kapitza, provide new effective criteria of stability/instability of the equilibria of pendulum equation, and give the exact and complete proofs. The criteria obtained are formulated in terms of positivity/negativity of Green's functions of the periodic boundary value problems for linearized equations. Furthermore,...

On Lyapunov transformations of linear systems of implicit differential equations

S. A. Mazanik (1991)

Archivum Mathematicum

On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations

Wolfgang Walter (1983)

Annales Polonici Mathematici

On Meromorphic Solutions of First-Order Differential Equations

Steven B. Bank, Robert P. Kaufman (1976)

Commentarii mathematici Helvetici

On minimal periods of functional-differential equations and difference inclusions

M. Medveď (1991)

Annales Polonici Mathematici

We prove several results on lower bounds for the periods of periodic solutions of some classes of functional-differential equations in Hilbert and Banach spaces and difference inclusions in Hilbert spaces.

On monotone solutions of the fourth order ordinary differential equations

Mária Tóthová, Oleg Palumbíny (1995)

Czechoslovak Mathematical Journal

On $n$ th order differential equations over Hardy fields

A. Ramayyan (1994)

Kybernetika

On nondecreasing singular solutions of the Emden-Fowler equation.

Rabtsevich, V.A. (2000)

Memoirs on Differential Equations and Mathematical Physics

On non-existence of periodic solutions of an important differential equation

Vladimír Matas (1973)

Aplikace matematiky

On nonincreasing singular solutions to the Emden-Fowler equation.

Rabtsevich, V.A. (2000)

Memoirs on Differential Equations and Mathematical Physics

On nonlinear differential systems with deviating arguments

Valter Šeda (1986)

Czechoslovak Mathematical Journal

On non-oscillation on semi-axis of solutions of second order deviating differential equations

Sergey Labovskiy, Manuel Alves (2018)

Mathematica Bohemica

We obtain conditions for existence and (almost) non-oscillation of solutions of a second order linear homogeneous functional differential equations $u^{''} (x) + \sum_{i} p_{i} (x) u^{'} (h_{i} (x)) + \sum_{i} q_{i} (x) u (g_{i} (x)) = 0$ without the delay conditions $h_{i} (x), g_{i} (x) \leq x$ , $i = 1, 2, ...$ , and $u^{''} (x) + \int_{0}^{\infty} u^{'} (s) d_{s} r_{1} (x, s) + \int_{0}^{\infty} u (s) d_{s} r_{0} (x, s) = 0 .$

On nonoscillatory solutions of a class of nonlinear differential equations

Ján Mikunda, Jozef Rovder (1986)

Mathematica Slovaca

On nonoscillatory solutions of a linear deviated system of differential equations

Jarosław Mikołajski (1991)

Archivum Mathematicum

On nth-order differential operators with Bohr-Neugebauer type property.

Aribindi Satyanarayan Rao (1987)

International Journal of Mathematics and Mathematical Sciences

On numerical solution of a mildly nonlinear turning point problem

Relja Vulanović (1990)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On one problem of Smale.

Tomberg, Eh.A., Yakubovich, V.A. (2000)

Siberian Mathematical Journal

On oscillation and asymptotic property of a class of third order differential equations

N. Parhi, Seshadev Pardi (1999)

Czechoslovak Mathematical Journal

In this paper, oscillation and asymptotic behaviour of solutions of $y^{'''} + a (t) y^{''} + b (t) y^{'} + c (t) y = 0$ have been studied under suitable assumptions on the coefficient functions $a, b, c \in C ([σ, \infty), R)$ , $σ \in R$ , such that $a (t) \geq 0$ , $b (t) \leq 0$ and $c (t) < 0$ .

On oscillation and boundedness of solutions of nonlinear differential equations

Gerasimos Ladas (1969)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On Oscillation and Nonoscillation Behaviour of Bounded Solutions of N-th Order Delay Differential Equations.

Taha M. Abu-Kaff, Rajbir S. Ahiya (1990)

Forum mathematicum

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