Results 51 to 60 of about 160 (154)

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

Global Lipschitz stability for an inverse coefficient problem for a mean field game system

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3858-3870, February 2025.
For an inverse coefficient problem of determining a state‐varying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by spatial data of one component and interior data in an arbitrarily chosen subdomain over a time interval. The proof is based on Carleman estimates with different norms.
Oleg Imanuvilov, Masahiro Yamamoto
wiley   +1 more source

An Inverse Source Problem for Singular Parabolic Equations with Interior Degeneracy

Abstract and Applied Analysis, 2018
The main purpose of this work is to study an inverse source problem for degenerate/singular parabolic equations with degeneracy and singularity occurring in the interior of the spatial domain.
Khalid Atifi, Idriss Boutaayamou, Hamed Ould Sidi, Jawad Salhi   +3 more
doaj   +1 more source

Carleman estimates and inverse problems for Dirac operators [PDF]

Mathematische Annalen, 2008
20 pages; Proposition 2.4 concerning harmonic weights had an incorrect proof in the first version and has been removed, also other changes and ...
Salo, Mikko, Tzou, Leo
openaire   +2 more sources

The symplectic density property for Calogero–Moser spaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén–Lempert theory. We establish these properties for the Calogero–Moser space Cn$\mathcal {C}_n$ of n$n$ particles and describe its group of holomorphic symplectic automorphisms.
Rafael B. Andrist, Gaofeng Huang
wiley   +1 more source

Internal exact controllability of the linear population dynamics with diffusion

Electronic Journal of Differential Equations, 2004
We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes.
Bedr'Eddine Ainseba, Sebastian Anita
doaj  

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

On an Empirical Likelihood Based Solution to the Approximate Bayesian Computation Problem

Statistical Analysis and Data Mining: The ASA Data Science Journal, Volume 17, Issue 5, October 2024.
ABSTRACT Approximate Bayesian computation (ABC) methods are applicable to statistical models specified by generative processes with analytically intractable likelihoods. These methods try to approximate the posterior density of a model parameter by comparing the observed data with additional process‐generated simulated data sets.
Sanjay Chaudhuri, Subhroshekhar Ghosh, Kim Cuc Pham   +2 more
wiley   +1 more source

Carleman estimates and null controllability of degenerate/singular parabolic systems

Electronic Journal of Differential Equations, 2016
We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain.
Abdelkarim Hajjaj, Lahcen Maniar, Jawad Salhi   +2 more
doaj