Results 41 to 50 of about 446,471 (361)
On a Quadratic-Trigonometric Functional Equation and Some Applications [PDF]
Transactions of the American Mathematical Society, 1995 Our main goal is to determine the general solution of the functional equation \[ f 1 ( x y ) + f 2
Prasanna K. Sahoo +3 more
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General Solution and Stability of Additive-Quadratic Functional Equation in IRN-Space
Journal of Function Spaces, 2021 The investigation of the stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially additive, quadratic, cubic,
K. Tamilvanan +4 more
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On a functional equation connected with Rao’s quadratic entropy [PDF]
Proceedings of the American Mathematical Society, 1994 We determine the general solution of the functional equation fxy, \[ f ( x + y 2 ) + f ( x −
Prasanna K. Sahoo +3 more
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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
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ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
Journal of the Chungcheong Mathematical Society, 2012 In this paper, for any fixed integer $n\;>\;m\;{\geq}\;1$, we investigate the generalized Hyers-Ulam stability of the following quadratic functional equation in -Banach spaces, where $0\;
Won-Gil Park, Sang-Baek Lee, Mi Hyun Han
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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
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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
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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
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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
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Advanced Engineering Materials, EarlyView.In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia +2 more
wiley +1 more source