Results 11 to 20 of about 17,851 (143)
Existence and Uniqueness Theorems for a Variable-Order Fractional Differential Equation with Delay
Axioms, 2023 This study establishes the existence and stability of solutions for a general class of Riemann–Liouville (RL) fractional differential equations (FDEs) with a variable order and finite delay.
Benoumran Telli +3 more
semanticscholar +1 more source
Existence, uniqueness and strict comparison theorems for BSDEs driven by RCLL martingales
Probability, Uncertainty and Quantitative Risk, 2021 The existence, uniqueness, and strict comparison for solutions to a BSDE driven by a multi-dimensional RCLL martingale are developed. The goal is to develop a general multi-asset framework encompassing a wide spectrum of non-linear financial models with ...
Tianyang Nie, M. Rutkowski
semanticscholar +1 more source
Existence and Uniqueness of Solutions of Hammerstein-Type Functional Integral Equations
Symmetry, 2023 The authors deal with nonlinear and general Hammerstein-type functional integral equations (HTFIEs). The first objective of this work is to apply and extend Burton’s method to general and nonlinear HTFIEs in a Banach space via the Chebyshev norm and ...
C. Tunç +2 more
semanticscholar +1 more source
The Existence and Uniqueness of Solutions for Kernel-Based System Identification [PDF]
at - Automatisierungstechnik, 2022 The notion of reproducing kernel Hilbert space (RKHS) has emerged in system identification during the past decade. In the resulting framework, the impulse response estimation problem is formulated as a regularized optimization defined on an infinite ...
M. Khosravi, Roy S. Smith
semanticscholar +1 more source
Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs [PDF]
Communications in Mathematical Physics, 2021 We prove an existence and uniqueness theorem for exact WKB solutions of general singularly perturbed linear second-order ODEs in the complex domain. These include the one-dimensional time-independent complex Schrödinger equation. Notably, our results are
Nikita Nikolaev
semanticscholar +1 more source
Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
Mathematics, 2020 We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler
Hossein Fazli, Hongguang Sun, J. Nieto
semanticscholar +1 more source
On existence and uniqueness properties for solutions of stochastic fixed point equations [PDF]
Discrete & Continuous Dynamical Systems - B, 2019 The Feynman-Kac formula implies that every suitable classical solution of a semilinear Kolmogorov partial differential equation (PDE) is also a solution of a certain stochastic fixed point equation (SFPE). In this article we study such and related SFPEs.
C. Beck +3 more
semanticscholar +1 more source
Existence and uniqueness of minimizers of general least gradient problems [PDF]
, 2013 Motivated by problems arising in conductivity imaging, we prove existence, uniqueness, and comparison theorems - under certain sharp conditions - for minimizers of the general least gradient problem \[\inf_{u\in BV_f(\Omega)} \int_{\Omega}\varphi(x,Du),\]
R. Jerrard, Amir Moradifam, A. Nachman
semanticscholar +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Canadian Journal of Statistics, EarlyView.Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
wiley +1 more source