IEEE

Sampled-Data Piecewise Affine Differential Inclusions

Abstract: This paper addresses exponential stability and stabilization of sampled-data piecewise affine differential inclusions (PWADI) with an unknown nonuniform sampling rate. The contributions of ...
Scientific Research Publishing

Kolmanovskii, V. and Myshkis, A. (2013) Introduction to the Theory and Applications of Functional Differential Equations. Springer Science & Business Media, Vol. 463.

ABSTRACT: Using piecewise constant orthonormal functions, an approximation of the monodromy operator of a Linear Periodic Delay Differential Equation (PDDE) is obtained by approximating the integral ...
Scientific Research Publishing

Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions ()

Linear Periodic Differential Equations (PDDEs) have been of importance for studying problems of vibration, mechanics, astronomy, electric circuits, biology among others in [1] several examples of ...
JSTOR Daily

Stability of oscillatory solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type

Carpathian Journal of Mathematics, Vol. 41, No. 2 (2025), pp. 313-328 (16 pages) In this study, we investigate scalar impulsive advanced and delayed differential equations with piecewise constant ...
JSTOR Daily

On a second order differential equation with piecewise constant mixed arguments

This is a preview. Log in through your library . Abstract We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments ...
Europe PMC

Impulsive fractional partial differential system and its correct integral solution

It is found that there are two piecewise functions satisfy the conditions in the impulsive fractional partial differential system (IFrPDS), which deduce that the three different integral solutions of ...