Results 151 to 160 of about 8,778,307 (358)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions [PDF]
, 2018 Mark J. Ablowitz +3 more
openalex +1 more source
Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley +1 more source
Computational Experiment for Stability Analysis of Difference Schemes with Nonlocal Conditions [PDF]
, 2013 Mifodijus Sapagovas +3 more
openalex +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
On the numerical solution of an elliptic problem with nonlocal boundary conditions [PDF]
, 2023 Zorica Milovanović Jeknić +2 more
openalex +1 more source
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions [PDF]
, 2007 Fairouz Zouyed +2 more
openalex +1 more source