• Bulletin of the Korean Mathematical Society
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• v.47 no.3
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• pp.491-502
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• 2010

In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x + y) + f(2x - y) = 4(f(x + y) + f(x - y)) - $\frac{3}{7}$(f(2y) - 2f(y)) + 2f(2x) - 8f(x).

• Journal of the Korean Mathematical Society
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• v.37 no.1
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• pp.125-137
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• 2000

In the present paper, the classical results of the stability of isometries obtained by some authors will be generalized; More precisely, the stability of isometries on restricted (unbounded or bounded) domains will be investigated.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.1
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• pp.31-37
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• 2009

In this paper, we obtain the generalized Hyers-Ulam stability of a functional equation and a system of functional equations on Jensen-quadratic mappings.

• The Pure and Applied Mathematics
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• v.16 no.1
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• pp.99-106
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• 2009

In this paper, we improve the generalized Hyers-Ulam stability and the superstability of module left derivations due to the results of [7].

• Journal of the Chungcheong Mathematical Society
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• v.33 no.2
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• pp.205-217
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• 2020

We will introduce a new type of quartic functional equation and then investigate the stability for a quartic functional equation in a convex modular space.

• Journal of the Chungcheong Mathematical Society
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• v.14 no.2
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• pp.1-7
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• 2001

In this paper we prove the stability of some generaliged quadratic functional equation $$a^2f(\frac{x+y}{a})+a^2f(\frac{x-y}{a})=2f(x)+2f(y)$$.

• The Pure and Applied Mathematics
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• v.17 no.4
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• pp.373-388
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• 2010

We introduce mixed cubic-quartic functional equations. And using the fixed point method, we prove the generalized Hyers-Ulam stability of cubic-quartic functional equations on random normed spaces.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.267-275
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• 2021

In this study, we investigate the generalized Hyers-Ulam Stability of partial differential equation of the form y_t - ky_xx = 0.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.1
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• pp.1-14
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• 2019

We prove the generalized Hyers-Ulam-Rassias stability problem of the quadratic functional equation with involution in the fuzzy quasi ${\beta}$-normed space by using the fixed point method.

• 제어로봇시스템학회:학술대회논문집
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• 1995.10a
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• pp.1-4
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• 1995

We propose a new design method for a generalized predictive control (GPC) system based on the parametrization of two-degree-of freedom control systems. The objective is to design the GPC system which guarantees the stability of the control system for a perturbed plant. The design procedure of our proposed method consists of three steps. First, we design a basic controller for a nominal plant using the LQG method and parametrize a whole control system. Next, we identify the deviation between the perturbed plant and the nominal one using a closed-loop identification method and design a free parameter of parametrization to stabilize the closed-loop system. Finally, we design a feedforward controller so as to incorporate GPC technique into our controller structure. A numerical example is presented to show the effectiveness of our proposed method.