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Global error estimation in the numerical solution of retarded differential equations by Euler's method

Zdzisław Jackiewicz (1983)

Aplikace matematiky

In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.

Homoclinic and periodic solutions of scalar differential delay equations

Hans-Otto Walther (1989)

Banach Center Publications

Induced trajectories and approximate inertial manifolds

Roger Temam (1989)

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

Integral Perturbations of Nonlinear Systems of Differential Equations

B. G. Pachpatte (1973)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Integro-differential-difference equations associated with the Dunkl operator and entire functions

Néjib Ben Salem, Samir Kallel (2004)

Commentationes Mathematicae Universitatis Carolinae

In this work we consider the Dunkl operator on the complex plane, defined by $𝒟_{k} f (z) = \frac{d}{d z} f (z) + k \frac{f (z) - f (- z)}{z}, k \geq 0 .$ We define a convolution product associated with $𝒟_{k}$ denoted $*_{k}$ and we study the integro-differential-difference equations of the type $μ *_{k} f = \sum_{n = 0}^{\infty} a_{n, k} 𝒟_{k}^{n} f$ , where $(a_{n, k})$ is a sequence of complex numbers and $μ$ is a measure over the real line. We show that many of these equations provide representations for particular classes of entire functions of exponential type.

Justification of the averaging method for functional-differential equations with maximums.

Bainov, D.D., Milusheva, S.D. (1985)

Publications de l'Institut Mathématique. Nouvelle Série

Justification of the averaging method for multipoint boundary value problems for a class of functional-differential equations with maximums.

S. D. Milusheva, D. D. Bainov (1986)

Collectanea Mathematica

L'existence d'une solution périodique d'une équation différentielle dans le cas où le second membre de l'équation n'est pas monotone par rapport à x

Z. Mikołajska (1984)

Annales Polonici Mathematici

Linear boundary value type problems for functional-differential equations and their adjoints

Milan Tvrdý (1975)

Czechoslovak Mathematical Journal

Linear differential equations with coefficients in a field I.

B. Stankovic (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

Linearized comparison criteria for a nonlinear neutral differential equation

Xinping Guan, Sui Sun Cheng (1996)

Annales Polonici Mathematici

A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.

Local asymptotic stability for nonlinear quadratic functional integral equations.

Dhage, B.C., Bellale, S.S. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

L//p-оценки решений одной разностной краевой задачи.

А.Е. Поличка, М.Ф. Тиунчик (1981)

Sibirskij matematiceskij zurnal

Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations.

Baker, C.T.H., Bocharov, G.A., Paul, C.A.H. (1997)

Journal of Theoretical Medicine

Mathematical theory of the bufferness phenomenon in oscillatory systems with distributed parameters.

Rozov, N.Kh. (1997)

Memoirs on Differential Equations and Mathematical Physics

Maximum Principles for Linear Difference-Differential Opeartors in Periodic Function Spaces.

Marino Zennaro (1984)

Numerische Mathematik

Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R

Ben Salem, N., Ould Ahmed Salem, A., Selmi, B. (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh x) { ( f(x) − f(−x) ) / 2 }, α ≥ β ≥ −1/2 , we define mean-periodic functions associated with Λα,β. We characterize these functions as an expansion series intervening appropriate elementary functions expressed in terms of the derivatives of the...

Metastable aggregation within a discrete-time model.

Laforgue, Jacques (1997)

Divulgaciones Matemáticas

Method of averaging for the system of functional-differential inclusions

Teresa Janiak, Elżbieta Łuczak-Kumorek (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

The basic idea of this paper is to give the existence theorem and the method of averaging for the system of functional-differential inclusions of the form ⎧ $ẋ (t) \in F (t, x_{t}, y_{t})$ (0) ⎨ ⎩ $ẋ (t) \in G (t, x_{t}, y_{t})$ (1)

Monotone semiflows generated by neutral equations with different delays in neutral and retarded parts.

Krisztin, T., Wu, J. (1994)

Acta Mathematica Universitatis Comenianae. New Series

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