Results 51 to 60 of about 300 (139)
Ordinary differential systems describing hysteresis effects and numerical simulations
Abstract and Applied Analysis, Volume 7, Issue 11, Page 563-583, 2002., 2002 We consider a general class of ordinary differential systems which describes input‐output relations of hysteresis types, for instance, play or stop operators. The system consists of two first‐order nonlinear ODEs and one of them includes a subdifferential operator depending on the unknowns.
Emil Minchev +2 more
wiley +1 more source
Some applications of the modified (G′/G2)-expansion method in mathematical physics
Results in Physics, 2019 This study proposes a modified (G′/G2)-expansion method to seek new more general exact traveling wave solutions to nonlinear evolution equations (NLEEs).
Noufe H. Aljahdaly
doaj +1 more source
Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
doaj +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
doaj +1 more source
A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
wiley +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
Transformation of p-gradient flows to p′-gradient flows in metric spaces
Analysis and Geometry in Metric SpacesWe explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
doaj +1 more source
Some properties of solutions to a planar system of nonlinear differential equations
Studia Universitatis Babeş-Bolyai. Mathematica, 2018 In this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given. Mathematics Subject Classification (2010): 34A12,
V. Ilea, D. Otrocol
semanticscholar +1 more source
, 2019 In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations.
Ghassan A. Al-Juaifri +2 more
semanticscholar +1 more source