• 충청수학회지
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• 제28권1호
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• pp.73-82
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• 2015

In this paper, we investigate h-stability and bounds for solutions of the the functional perturbed differential systems

• 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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• 제21권1호
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• pp.11-21
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• 2014

The present paper is concerned with the notions of Lipschitz and asymptotic stability for perturbed nonlinear differential system knowing the corresponding stability of nonlinear differential system. We investigate Lipschitz and asymtotic stability for perturbed nonlinear differential systems. The main tool used is integral inequalities of the Bihari-type, in special some consequences of an extension of Bihari's result to Pinto and Pachpatte, and all that sort of things.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권1호
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• pp.1-11
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• 2015

The present paper is concerned with the notions of Lipschitz and asymptotic for perturbed functional differential system knowing the corresponding stability of functional differential system. We investigate Lipschitz and asymptotic stability for perturbed functional differential systems. The main tool used is integral inequalities of the Bihari-type, and all that sort of things.

• Journal of applied mathematics & informatics
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• 제32권1_2호
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• pp.247-254
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• 2014

In this paper, we investigate bounds for solutions of nonlinear perturbed differential systems.

• 충청수학회지
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• 제26권3호
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• pp.605-613
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• 2013

In this paper, we investigate bounds for solutions of perturbed nonlinear differential systems.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권4호
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• pp.337-344
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• 2011

In this paper, we investigate h-stability of the nonlinear perturbed differential systems.

• 충청수학회지
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• 제23권4호
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• pp.827-834
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• 2010

In this paper, we investigate h-stability of the nonlinear perturbed differential systems.

• 충청수학회지
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• 제30권2호
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• pp.273-284
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• 2017

In this paper, we study that the solutions to perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$ have uniformly Lipschitz stability by imposing conditions on the perturbed part ${\int_{t0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y) using integral inequalities.

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.511-516
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• 2012

In this paper, we investigate $h$-stability of the nonlinear perturbed differential systems using the the notion of $t_{\infty}$-similarity.