• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.137-147
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• 2010

In this paper we extend a differential inequality presented in Theorem 2.2 [6] to a dynamic inequality on time scales.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.71-84
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• 2013

In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.

• Honam Mathematical Journal
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• v.44 no.1
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• pp.17-25
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• 2022

The Hermite-Hadamard integral inequality for F_h-convex functions on time scales is established. The applicability of our results ranges from Optimization problems to Calculus of Variations and to Economics. Application to the Calculus of Variations on time scales is discussed.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.4
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• pp.869-878
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• 2013

We study boundedness of solutions of dynamic equations on time scales by using Lyapunov-type functions.

• Honam Mathematical Journal
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• v.38 no.1
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• pp.141-149
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• 2016

In this paper, we introduce and investigate the concept of Riemann Delta-alpha fractional integral on time scales. Many properties of this integral will be obtained.

• Journal of applied mathematics & informatics
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• v.33 no.5_6
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• pp.531-543
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• 2015

We determine interval of two eigenvalues for which there existence and nonexistence of positive solution for a system of even-order dynamic equation on time scales subject to Sturm-Liouville boundary conditions.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.157-163
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• 2016

In this paper we introduce the Banach-valued C-delta integral on time scales and investigate some properties of these integrals.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.109-115
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• 2016

In this paper we introduce the interval-valued Henstock-Stieltjes integral on time scales and investigate some properties of these integrals.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.2
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• pp.255-265
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• 2016

In this paper, we define and study the delta alpha derivative on time scales. Many basic properties of delta alpha derivative will be obtained.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.267-277
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• 2011

This paper is concerned with eigenvalues of second-order vector equations on time scales with boundary value conditions. Properties of eigenvalues and matrix-valued solutions are studied. Relationships between eigenvalues of different boundary value problems are discussed.