• 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.

• 대한수학회지
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• 제36권4호
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• pp.757-771
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• 1999

We consider a system of functional differential equations x'(t)=F(t, $x_t$) and obtain conditions on a Liapunov functional and a Liapunov function to ensure the instability of the zero solution.

• 충청수학회지
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• 제29권2호
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• pp.347-359
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• 2016

In this paper, we show that the solutions to perturbed functional differential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$$, have a bounded properties. To show the bounded properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$ and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of $t_{\infty}$-similarity.

• 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

• 대한수학회지
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• 제42권4호
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• pp.749-759
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• 2005

We apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive periodic solutions of the system of functional differential equations $$x'(t)\;=\;A(t)x(t)+{\lambda}f(t,\;x(t-\tau(t))$$.

• 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.

• 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.

• Kyungpook Mathematical Journal
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• 제48권1호
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• pp.1-14
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• 2008

In this paper, we investigate the existence of solutions of second order impulsive neutral functional differential inclusions which the nonlinearity F admits convex and non-convex values. Some results under weaker conditions are presented. Our results extend previous ones. The methods rely on a fixed point theorem for condensing multivalued maps and Schaefer's fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.

• 충청수학회지
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• 제27권2호
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• pp.335-345
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• 2014

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

• Journal of applied mathematics & informatics
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• 제32권5_6호
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• pp.697-705
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• 2014

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