Results 41 to 50 of about 456,013 (364)
On the Orthogonal Stability of the Pexiderized Quadratic Equation
, 2005 The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.Comment: 10 pages, Latex; Changed ...
Aczél J. +12 more
core +2 more sources
On microscopic origins of generalized gradient structures [PDF]
, 2015 Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadratic dissipation potentials.
Liero, Matthias +3 more
core +3 more sources
Fuzzy Stability of Jensen‐Type Quadratic Functional Equations [PDF]
Abstract and Applied Analysis, 2009 We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.
Jang, Sun-Young +3 more
openaire +3 more sources
On the Stability of Quadratic Functional Equations in F-Spaces
Journal of Function Spaces, 2016 The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.
Xiuzhong Yang
doaj +1 more source
Mean-Field Stochastic Linear Quadratic Optimal Control Problems: Closed-Loop Solvability
, 2016 An optimal control problem is studied for a linear mean-field stochastic differential equation with a quadratic cost functional. The coefficients and the weighting matrices in the cost functional are all assumed to be deterministic.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
core +1 more source
Linear Quadratic Stochastic Differential Games: Open-Loop and Closed-Loop Saddle Points [PDF]
, 2014 In this paper, we consider a linear quadratic stochastic two-person zero-sum differential game. The controls for both players are allowed to appear in both drift and diffusion of the state equation.
Sun, Jingrui, Yong, Jiongmin
core +3 more sources
Sex differences in medication discontinuation in axial spondyloarthritis.
Arthritis Care &Research, Accepted Article.Objective We examined sex differences in medication discontinuation among patients with axial spondyloarthritis (axSpA) initiating tumor necrosis factor inhibitors (TNFi), interleukin‐17 inhibitors (IL‐17i), or Janus kinase inhibitors (JAKi). Methods Using data from the Rheumatology Informatics System for Effectiveness (RISE) Registry (2003–2025), we ...
Rachael Stovall +9 more
wiley +1 more source
Open-Loop and Closed-Loop Solvabilities for Stochastic Linear Quadratic Optimal Control Problems
, 2015 This paper is concerned with a stochastic linear quadratic (LQ, for short) optimal control problem. The notions of open-loop and closed-loop solvabilities are introduced. A simple example shows that these two solvabilities are different.
Li, Xun, Sun, Jingrui, Yong, Jiongmin
core +1 more source
Galerkin approximations for the optimal control of nonlinear delay differential equations [PDF]
, 2017 Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynomials.
Chekroun, Mickaël D. +2 more
core +2 more sources
Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source