Results 21 to 30 of about 340,916 (149)

BSDEs driven by a multi-dimensional martingale and their applications to market models with funding costs [PDF]

, 2014
We establish some well-posedness and comparison results for BSDEs driven by one- and multi-dimensional martingales. On the one hand, our approach is largely motivated by results and methods developed in Carbone et al. (2008) and El Karoui and Huang (1997)
Nie, Tianyang, Rutkowski, Marek
core  

Regularity of solutions to higher-order integrals of the calculus of variations

, 2007
We obtain new regularity conditions for problems of calculus of variations with higher-order derivatives. As a corollary, we get non-occurrence of the Lavrentiev phenomenon.
Bernstein S, Cesari L, Clarke FH, Clarke FH, Clarke FH, Delfim F.M. Torres, Morrey CB, Moulay Rchid Sidi Ammi, Pontryagin LS, Sarychev AV, Sarychev AV, Sidi Ammi MR, Smith DR, Torres DFM   +13 more
core   +1 more source

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali, Serena Matucci, Paola Rubbioni   +2 more
wiley   +1 more source

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

Double scale analysis of periodic solutions of some non linear vibrating systems [PDF]

, 2013
We consider {\it small solutions} of a vibrating system with smooth non-linearities for which we provide an approximate solution by using a double scale analysis; a rigorous proof of convergence of a double scale expansion is included; for the forced ...
Brahim, Nadia Ben, Rousselet, Bernard
core   +2 more sources

Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations

, 2010
We develop a theory based on relative entropy to show the uniqueness and L^2 stability (up to a translation) of extremal entropic Rankine-Hugoniot discontinuities for systems of conservation laws (typically 1-shocks, n-shocks, 1-contact discontinuities ...
A. Bressan, A. Bressan, A. Bressan, A. Bressan, A. Mellet, A. Vasseur, A. Vasseur, A. Vasseur, A.E. Tzavaras, Alexis Vasseur, C. Bardos, C. Bardos, C. De Lellis, C.M. Dafermos, E.F. Toro, E.Y. Panov, E.Y. Panov, F. Berthelin, F. Berthelin, F. Golse, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, H.-T. Yau, J. Glimm, J.A. Smoller, L. Saint-Raymond, L. Saint-Raymond, M. Lewicka, N. Masmoudi, Nicholas Leger, P.-L. Lions, R.J. DiPerna, T.-P. Liu, T.-P. Liu, T.-P. Liu, Y.-S. Kwon, Y.-S. Kwon   +40 more
core   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3496-3508, February 2025.
In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.
Saliha Demirbüken, Coşkun Yakar
wiley   +1 more source

Analytical results for the multi-objective design of model-predictive control

, 2016
In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration.
Bachtiar, Vincent, Kerrigan, Eric C., Manzie, Chris, Moase, William H.   +3 more
core   +1 more source

Mathematical Modeling and Optimal Control of the Dynamics of an Internal Radicalization Process

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This study presents a deterministic system of differential equations to model the internal radicalization process. Unlike previous models, we explicitly incorporate the subpopulation of eligibles, individuals who have experienced negative interactions with state institutions due to factors such as corruption, inequality, and poor governance.
Wendpanga Alain Tapsoba, Yacouba Simpore, Oumar Traore, Micah Osilike   +3 more
wiley   +1 more source