A solution of the fractional differential equations in the setting of $b$-metric space [PDF]
, 2021 In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems \[ \begin{cases} D^{\mu}_{c}w(\varsigma)\pm D^{\nu}_{c}w(\varsigma)=h(\varsigma,w(\varsigma)),& \varsigma\in J ...
E. Karapinar, H. Afshari
core +2 more sources
Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition [PDF]
, 2014 In this paper, we study the existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition in cone metric space.
More, R. T., Tidke, Haribhau Laxman
core +1 more source
The improved giant magnetostrictive actuator oscillations via positive position feedback damper [PDF]
, 2023 This article contemplates the demeanor of the giant magnetostrictive actuator (GMA) when a positive position feedback (PPF) damper is used to enable tight control over its vibration.
A. M. Salem +3 more
core +1 more source
Surface induced phase separation of a swelling hydrogel [PDF]
, 2018 We present a formulation of the free boundary problem for a hydrogel that accounts for the interfacial free energy and finite strain due to the large deformation of the polymer network during solvent transport across the free boundary.
Hennessy, Matthew G. +2 more
core +4 more sources
Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell [PDF]
, 2023 The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the original equations of motion in 3D elasticity fails for cylindrical shells due to the cancellation of the leading-order terms in the geometric relations for ...
Kaplunov
core +1 more source
Analysis of Vibrations in Large Flexible Hybrid Systems
, 2005 The mathematical model of a real flexible elastic system with distributed and discrete parameters is considered. It is a partial differential equation with non-classical boundary conditions.
Delfim F.M. Torres +5 more
core +1 more source
Self-consistent field theory for a polymer brush. Part II: The effective chemical potential [PDF]
, 2019 The most successful mean-field model to describe the collective behaviour of the large class of macromolecular polymers is the self-consistent field theory (SCFT). Still, even for the simple system of a grafted dry polymer brush, the mean-field equations
Münch, Andreas, Wagner, Barbara
core +2 more sources
Internal dynamics around static-deformation FEM states [PDF]
, 2005 Constant velocity or constant force FEM solutions are static-deformation states, where the elastic deformation is stationary. These are the typical operation conditions.
Ligterink, N.E.
core +1 more source
KdV-like solitary waves in two-dimensional FPU-lattices
, 2018 We prove the existence of solitary waves in the KdV limit of two-dimensional FPU-type lattices using asymptotic analysis of nonlinear and singularly perturbed integral equations. In particular, we generalize the existing results by Friesecke and Matthies
Chen, Fanzhi, Herrmann, Michael
core +1 more source
The Vibration Spectrum of Two Euler–Bernoulli Beams Coupled Via a Dissipative Joint [PDF]
, 2017 The asymptotic estimation of the vibration spectrum for a system of two identical Euler–Bernoulli beams coupled via each of the four standard types of linear dissipative joint has been solved for the case when one beam is clamped and the other beam is ...
Abriola, Chris +3 more
core +2 more sources