• 대한수학회지
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• 제34권1호
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• pp.195-211
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• 1997

The purpose of this paper is to present the uniform asymptotic stability theorem and the uniform boundedness and uniform ultimate boundedness theorem for functional differential equations.

• Korean Journal of Mathematics
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• 제23권2호
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• pp.269-282
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• 2015

In this paper, we investigate bounds for solutions of perturbed functional differential systems using the notion of $t_{\infty}$-similarity.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권3호
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• pp.215-227
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• 2015

In this paper, we investigate bounds for solutions of nonlinear functional differential systems using the notion of t_∞-similarity.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권4호
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• pp.365-374
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• 2015

In this paper, we solve the additive ρ-functional equations

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권4호
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• pp.375-382
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• 2015

In this paper, we solve the additive ρ-functional equations

• East Asian mathematical journal
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• 제24권3호
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• pp.275-287
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• 2008

In this paper, using large deviation results for Gaussian processes, we establish some functional limit theorems for increments of a fractional Brownian motion in the usual sup-norm via estimating large deviation probabilities for increments of a fractional Brownian motion.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.445-453
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• 2007

This paper deals with the approximate controllability for the nonlinear functional differential equations with time delay and studies a variation of constant formula for solutions of the given equations.

• 충청수학회지
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• 제14권2호
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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 $$a^2f(\frac{x+y}{a})+a^2f(\frac{x-y}{a})=2f(x)+2f(y)$$.

• 대한수학회논문집
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• 제16권4호
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• pp.607-619
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• 2001

Rassias obtained the Hyers-Ulam stability of the gen-eral Euler-Lagrange functional equation. In this paper we general-ized this stability in the spirit of Hyers, Ulam, Rassias and Gavruta.

• 대한수학회논문집
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• 제30권4호
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• pp.415-427
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• 2015

In this paper, we investigate bounds for solutions of the non-linear functional differential systems.