Results 71 to 80 of about 19,755 (210)

Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
wiley   +1 more source

Approximate Controllability of Fractional Integrodifferential Evolution Equations

Journal of Applied Mathematics, 2013
This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions.
R. Ganesh, R. Sakthivel, N. I. Mahmudov, S. M. Anthoni   +3 more
doaj   +1 more source

Rate of convergence of attractors of reaction-diffusion equations with nonlinear boundary conditions

, 2020
This paper we study the rate of convergence of the asymptotic dynamics of reaction-diffusion equations with nonlinear Robin boundary conditions. We show how the rate of convergence of the global attractors can be affected by the variation of the ...
Bezerra, Flank David Moraes, Pires, Leonardo   +1 more
core  

On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces

Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.
Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc, Lina Sophie Schmitz, Christoph Walker   +2 more
wiley   +1 more source

Celebrating Cercignani's conjecture for the Boltzmann equation

, 2010
Cercignani's conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann's nonlinear integral operator in rarefied gas dynamics.
A. A. Arsen'ev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, A. V. Bobylev, B. Wennberg, B. Wennberg, C. Baranger, C. Cercignani, C. Cercignani, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. Mouhot, C. S. Wang Chang, C. Villani, C. Villani, C. Villani, C. Villani, C. Villani, C. Villani, Clément Mouhot, Cédric Villani, D. Bakry, D. Hilbert, D. K. Maslen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. A. Carlen, E. Janvresse, F. Golse, F. Hérau, G. Toscani, G. Toscani, G. Toscani, H. Grad, I. Csiszar, I. M. Gamba, J. C. Maxwell, L. Arkeryd, L. Boltzmann, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Desvillettes, L. Gross, L. Landau, Laurent Desvillettes, M. Aizenman, M. Kac, M. Klaus, M. P. Gualdani, P. Degond, P. Degond, P. Diaconis, P. T. Gressman, P.-L. Lions, R. Alexandre, R. Alexandre, R. Alexandre, R. Alonso, R. E. Caflisch, S. Kullback, S. Mischler, S. Mischler, T. Carleman, Y. Guo, Y. P. Pao   +81 more
core   +4 more sources

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

A semigroups theory approach to a model of suspension bridges

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms.
Rodiak Figueroa-López, German Lozada-Cruz   +1 more
doaj   +1 more source

Nonlinear L\'evy and nonlinear Feller processes: an analytic introduction [PDF]

, 2011
The program of studying general nonlinear Markov processes was put forward in V. N. Kolokoltsov "Nonlinear Markov Semigroups and Interacting L\'evy Type Processes" (Journ. Stat. Physics 126:3 (2007), 585-642), and was developed by the author in monograph
Kolokoltsov, Vassili N.
core  

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2007
The aim of this paper is to prove the existence of mild solutions of the nonlocal Cauchy problem for a nonlinear integrodifferential equation. The results are established by using the method of semigroup and the Schaefer theorem.
Mariappan Chandrasekaran
doaj