Results 81 to 90 of about 3,901 (233)

Stabilization and controllability of first-order integro-differential hyperbolic equations [PDF]

, 2015
In the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time is equivalent to the exact controllability property.
Coron, Jean-Michel, Hu, Long, Olive, Guillaume   +2 more
core   +2 more sources

New Numerical Results on Existence of Volterra–Fredholm Integral Equation of Nonlinear Boundary Integro-Differential Type [PDF]

, 2023
Hawsar HamaRashid, H. M. Srivastava, Mudhafar Hama, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Musawa Yahya Almusawa   +5 more
openalex   +1 more source

Adaptive Vibration Control of the Moving Cage in the 4 ×$\times$ 4 Hyperbolic PDE‐ODE Model of the Dual‐Cable Mining Elevator

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
This paper proposes an observer‐based adaptive output‐feedback boundary control to stabilize the vibrations of the moving cage of a dual‐cable mining elevator. This system is comprised of two mechanically jointed winding drums that drive the two cables through the floating sheaves to lift the cage.
Elham Aarabi, Mohammadali Ghadiri‐Modarres, Mohsen Mojiri   +2 more
wiley   +1 more source

A Multiple Iterated Integral Inequality and Applications

Journal of Applied Mathematics, 2014
We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
doaj   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

Numerical solution of nonlinear Volterra-Fredholm integral equations of the first kind using alternative Legendre polynomials [PDF]

, 2021
Sohrab Bazm, Alireza Hosseini
openalex   +1 more source

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian, Farhad Amiri, Soheil Ganjefar   +2 more
wiley   +1 more source

An adaptive method for Volterra–Fredholm integral equations on the half line

Journal of Computational and Applied Mathematics, 2009
Motivated by problems arising from real life applications the authors focus on the numerical solution of Volterra-Fredholm integral equations (VFIEs) on unbounded spatial domains, with kernels that present variable peaks along the space. The numerical method presented in this paper, based on a trapezoidal direct quadrature formula along space and time,
CARDONE, Angelamaria, MESSINA E, VECCHIO A.   +2 more
openaire   +5 more sources

An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami, M. A. Abdou, Shikha Binwal   +2 more
wiley   +1 more source

Integral equations for the wave function of particle systems

Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019
Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
doaj   +1 more source