• Korean Journal of Mathematics
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• v.12 no.2
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• pp.165-169
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• 2004

In this paper, we establish an inversion formula for exponentially bounded C-regularized semigroup.

• Journal of applied mathematics & informatics
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• v.17 no.1_2_3
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• pp.559-565
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• 2005

In this paper, we establish the convergence of semigroups that are strongly continuous on (0, $\infty$). By using Laplace transform theory, we show some properties of semigroups and the convergence result.

• Bulletin of the Korean Mathematical Society
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• v.39 no.1
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• pp.53-62
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• 2002

We discuss the $\hbar-stability$ of perturbed Volterra difference systems by means of the resolvent matrix and discrete inequalities.

• Journal of the Korean Mathematical Society
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• v.32 no.1
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• pp.115-139
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• 1995

Our purpose in this paper is to prove a new version of the nonlinear Chernoff theorem and to discuss the equivalence between resolvent consistency and converge nce for nonlinear algorithms acting on different Banach spaces. Such results are useful in the numerical treatment of partial differential equations via difference schemes.

• Korean Journal of Mathematics
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• v.4 no.2
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• pp.125-133
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• 1996

We show that if X is a reflexive Banach space with a uniformly G$\hat{a}$teaux differentiable norm, then the convergence of semigroups acting on Banach spaces $X_n$ implies the convergence of resolvents of generators of semigroups.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.4
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• pp.635-643
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• 2009

We investigate h-stability of solutions of perturbed Volterra difference systems.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.3
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• pp.311-320
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• 2007

We obtain a discrete analogue of Nohel's result in [5] about asymptotic equivalence between perturbed Volterra system and unperturbed system.

• Honam Mathematical Journal
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• v.26 no.4
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• pp.441-453
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• 2004

In this paper, sufficient conditions for the controllability of integrodifferential systems are established. The results are obtained by using the Schauder fixed point theorem and the resolvent operator. Example is provided to illustrate the theory.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.3
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• pp.535-543
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• 2009

We investigate h-stability of solutions of nonlinear Volterra difference systems and linear Volterra difference systems.

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.889-902
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• 2007

An existence theorem for a new class of parametric generalized mixed implicit quasi-variational inclusion problems is established in Hilbert spaces. Further, we study the behavior and sensitivity analysis of the solution set in this class of parametric variational inclusion problems.