A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Journal of Function Spaces, 2015 We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
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Mathematics, 2019 The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam&
Yang-Hi Lee
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Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications * [PDF]
, 2016 We consider the optimal control problem for a linear conditional McKean-Vlasov equation with quadratic cost functional. The coefficients of the system and the weigh-ting matrices in the cost functional are allowed to be adapted processes with respect to ...
Pham, Huyên
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Quadratic-Quartic Functional Equations in RN-Spaces [PDF]
Journal of Inequalities and Applications, 2009 11 ...
Choonkil Park +2 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 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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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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ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION [PDF]
Journal of Nonlinear Sciences and Applications, 2011 Summary: We establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the Hyers-Ulam-Rassias stability of this equation in Banach spaces.
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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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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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