Results 61 to 70 of about 2,053,633 (282)

Partial differential equations with piecewise constant delay

International Journal of Mathematics and Mathematical Sciences, 1991
The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in ...
Joseph Wiener, Lokenath Debnath
doaj   +1 more source

Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials

Advanced Materials, EarlyView.
Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
wiley   +1 more source

On stability and oscillation of equations with a distributed delay which can be reduced to difference equations

Electronic Journal of Differential Equations, 2008
For the equation with a distributed delay $$ x'(t) + ax(t)+ int_0^1 x(s+[t-1])d R(s)=0 $$ we obtain necessary and sufficient conditions of stability, exponential stability and oscillation. These results are applied to some particular cases, such as
Sergey Zhukovskiy, Elena Braverman
doaj  

Existence conditions for 2-periodic solutions to a non-homogeneous differential equations with piecewise constant argument

Examples and Counterexamples
This paper provides a method of finding 2-periodical solutions for the first-order non-homogeneous differential equations with piecewise constant arguments.
Mukhiddin I. Muminov, Tirkash A. Radjabov   +1 more
doaj   +1 more source

Azobenzene's Cross‐Scale Optics and Photonics: Molecular Photoswitching, Mesoscopic Material Motions, and Adaptive Devices

Advanced Materials, EarlyView.
Azobenzene photoswitches translate molecular‐scale E/Z photoisomerization into macroscopic material responses and device‐level photonic functions. This Review highlights how azobenzene research has evolved from molecular photochemistry to photoalignment, mass migration, photomechanics, and heat release, ultimately enabling holography, reconfigurable ...
Heeju Son, Soyul Kwak, Heerin Noh, Minsang Kim, Doyeon Noh, Subhayan Chakraborty, Jaewon Lee, YongDeok Cho, Kyeongsoo Kim, Taewoong Eom, Moonyoung Kim, Jangwon Kim, Hoyoung Lee, Soyoung Lee, Jaehun Kim, Grace G. D. Han, Shin‐Tson Wu, Stefano Oscurato, Arri Priimagi, Marina Saphiannikova, Seungwoo Lee   +20 more
wiley   +1 more source

Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model

Discrete Dynamics in Nature and Society, 2023
The objective of this study is to investigate the complexity of a discrete predator-prey system. The discretization is achieved using the piecewise constant argument method.
Rizwan Ahmed, Muhammad Rafaqat, Imran Siddique, Mohammad Asif Arefin   +3 more
doaj   +1 more source

Measuring the Hall Effect in Hysteretic Materials

Advanced Materials, EarlyView.
The authors highlight common pitfalls in measuring the Hall effect: in hysteretic magnets, improper data processing can create signals that look exotic but are not real. This Perspective explains the origin of these artifacts and presents practical measurement strategies that help researchers identify reliable Hall responses in complex magnetic ...
Jaime M. Moya, Anthony Voyemant, Sudipta Chatterjee, Scott B. Lee, Grigorii Skorupskii, Connor J. Pollak, Leslie M. Schoop   +6 more
wiley   +1 more source

Discontinuous almost automorphic functions and almost automorphic solutions of differential equations with piecewise constant arguments

Electronic Journal of Differential Equations, 2014
In this article we introduce a class of discontinuous almost automorphic functions which appears naturally in the study of almost automorphic solutions of differential equations with piecewise constant argument.
Alan Chavez, Samuel Castillo, Manuel Pinto   +2 more
doaj  

Periodic solutions of differential equations with a general piecewise constant argument and applications

Electronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type.
Kuo-Shou Chiu, Manuel Pinto
doaj   +1 more source

ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT [PDF]

Bulletin of the Australian Mathematical Society, 2013
AbstractUsing the method of exponential dichotomies, we establish a new existence and uniqueness theorem for almost automorphic solutions of differential equations with piecewise constant argument of the form$$\begin{eqnarray*}{x}^{\prime } (t)= A(t)x(t)+ B(t)x(\lfloor t\rfloor )+ f(t), \quad t\in \mathbb{R} ,\end{eqnarray*}$$where$\lfloor \cdot ...
Zhang, Li-Li, Li, Hong-Xu
openaire   +2 more sources