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Effective Computation of Periodic Orbits and Bifurcation Diagrams in Delay Equations.

K.P. Hadeler (1980)

Numerische Mathematik

Errata: Some records on second order differential equations

Tadeusz Dłotko (1996)

Acta Mathematica et Informatica Universitatis Ostraviensis

Erratum to my paper: On the “Poincaré-Lyapunov”-like systems of three differential equations

Ján Andres (1989)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Error analysis of splitting methods for semilinear evolution equations

Masahito Ohta, Takiko Sasaki (2017)

Applications of Mathematics

We consider a Strang-type splitting method for an abstract semilinear evolution equation $\partial_{t} u = A u + F (u) .$ Roughly speaking, the splitting method is a time-discretization approximation based on the decomposition of the operators $A$ and $F .$ Particularly, the Strang method is a popular splitting method and is known to be convergent at a second order rate for some particular ODEs and PDEs. Moreover, such estimates usually address the case of splitting the operator into two parts. In this paper, we consider the splitting...

Estimations asymptotiques des intervalles d'instabilité pour l'équation de Hill

Alain Grigis (1987)

Annales scientifiques de l'École Normale Supérieure

Estimations asymptotiques des valeurs propres de l'équation de Hill polynomiale

Alain Grigis (1986)

Journées équations aux dérivées partielles

Étude d'un système différentiel non linéaire régissant un phénomène gyroscopique forcé

Mourad Benabas (1996)

Colloquium Mathematicae

Étude numérique des solutions périodiques d'une équation du second ordre

M. Romano (1992)

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

Even periodic solutions of higher order duffing differential equations

Gen Qiang Wang, Sui-Sun Cheng (2007)

Czechoslovak Mathematical Journal

By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Qianhong Zhang, Lihui Yang, Daixi Liao (2011)

International Journal of Applied Mathematics and Computer Science

Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.

Existence and global asymptotical stability of periodic solution for the $T$ -periodic logistic system with time-varying generating operators and $T_{0}$ -periodic impulsive perturbations on Banach spaces.

Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)

Discrete Dynamics in Nature and Society

Existence and global attractivity of periodic solutions in $n$ -species food-chain system with time delays.

Liu, Qiming, Zhou, Haiyun (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Existence and positivity of solutions for a nonlinear periodic differential equation

Ernest Yankson (2012)

Archivum Mathematicum

We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.

Existence and uniqueness of periodic solution for nonlinear second-order ordinary differential equations.

Zu, Jian (2011)

Boundary Value Problems [electronic only]

Existence and uniqueness of periodic solutions for a class of nonlinear equations with $p$ -Laplacian-like operators.

Ding, Hui-Sheng, Ye, Guo-Rong, Long, Wei (2010)

Advances in Difference Equations [electronic only]

Existence and uniqueness of periodic solutions for odd-order ordinary differential equations

Yongxiang Li, He Yang (2011)

Annales Polonici Mathematici

The paper deals with the existence and uniqueness of 2π-periodic solutions for the odd-order ordinary differential equation $u^{(2 n + 1)} = f (t, u, u^{'}, . . ., u^{(2 n)})$ , where $f : ℝ \times ℝ^{2 n + 1} \to ℝ$ is continuous and 2π-periodic with respect to t. Some new conditions on the nonlinearity $f (t, x ₀, x ₁, . . ., x_{2 n})$ to guarantee the existence and uniqueness are presented. These conditions extend and improve the ones presented by Cong [Appl. Math. Lett. 17 (2004), 727-732].

Currently displaying 1 – 20 of 40