• 대한수학회보
• /
• 제56권4호
• /
• pp.977-992
• /
• 2019

Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler stability of, and in some cases the stability of, the zero solution of a system nonlinear fractional nabla difference equations. For this purpose, we obtain several properties of the exponential and one parameter Mittag-Leffler functions of fractional nabla calculus. Two examples are provided to illustrate the applicability of established results.

• Korean Journal of Mathematics
• /
• 제29권3호
• /
• pp.473-481
• /
• 2021

In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic coefficients of finite logarithmic order. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.

• Nonlinear Functional Analysis and Applications
• /
• 제26권5호
• /
• pp.1035-1044
• /
• 2021

Existence and uniqueness results for solutions of system of Riemann-Liouville (R-L) fractional differential equations with initial time difference are obtained. Monotone technique is developed to obtain existence and uniqueness of solutions of system of R-L fractional differential equations with initial time difference.

• Korean Journal of Mathematics
• /
• 제31권1호
• /
• pp.63-73
• /
• 2023

In this paper, we determine all repdigits, which are difference of two Pell and Pell-Lucas numbers. It is shown that the largest repdigit which is difference of two Pell numbers is 99 = 169 - 70 = P₇ - P₆ and the largest repdigit which is difference of two Pell-Lucas numbers is 444 = 478 - 34 = Q₇ - Q₄.

• 대한수학회보
• /
• 제60권3호
• /
• pp.593-610
• /
• 2023

In view of Nevanlinna theory, we investigate the meromorphic solutions of q-difference differential equations and our results give the estimates about counting function and proximity function of meromorphic solutions to these equations. In addition, some interesting results are obtained for two general equations and a class of system of q-difference differential equations.

• Journal of Applied and Pure Mathematics
• /
• 제5권5_6호
• /
• pp.281-289
• /
• 2023

We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.

• Journal of Applied and Pure Mathematics
• /
• 제6권3_4호
• /
• pp.127-139
• /
• 2024

Let G be a (p, q) graph. Pair difference cordial number of a graph G is the least positive integer m such that G∪mK₂ is pair difference cordial. It is denoted by PDC_𝜂(G). In this paper we find the pair difference cordial number of bistar, complete, helm, star, wheel.

• PNF and Movement
• /
• 제6권2호
• /
• pp.19-30
• /
• 2008

Purpose : This study was performed for find out temporal spatial parameter of the gait according to age. Method : Four groups of healthy people were allocated randomly in this study : group I(little child, 15), group II(child, 18) and group III(young people, 17), group(elder people, 16). This study was performed from 01 December to 31 December in 2007. Results : The results were as follows : 1. The swing phase was the longest group II, group IV was the shortest. Each groups, there was significant difference in swing phase(p<.05). 2. The stance phase was the longest group IV, group II was the shortest. Each groups, there was significant difference in stance phase(p<.05). 3. The single support time was the longest group II, group IV was the shortest. Each groups, there was significant difference in single support time(p<.05). 4. The double support time was the longest group IV, group II was the shortest. Each groups, there was significant difference in double support time(p<.05). 5. The gait velocity was the fastest group II, group I was the slowest. Each groups, there was significant difference in gait velocity(p<.05). 6. The toe in/out was very increased group IV, group I was very decreased. Each groups, there was significant difference in toe in/out(p<.05). 7. The cadence was the highest group I, group IV was the lowest. Each groups, there was significant difference in cadence(p<.05). 8. The step length was the longest group III, group I was the shortest. Each groups, there was significant difference in step length(p<.05). 9. The step length asymmetry ratio was the highest group IV, group III was the lowest. Each groups, there was no significant difference in step length asymmetry ratio(p>.05). 10. The single support time asymmetry ratio was the highest group I, group IV was the lowest. Each groups, there was no significant difference in single support time asymmetry ratio (p>.05). 11. The FAP was the highest group III, group I was the lowest. Each groups, there was significant difference in FAP(p<.05).

• 한국산학기술학회논문지
• /
• 제19권8호
• /
• pp.545-551
• /
• 2018

외국 설계기준에서 제시하고 있는 단면 온도 경사모델의 국내적용을 위하여, 강상자형 교량 시험체를 폭 2.0m, 높이 2.0m, 길이 3.0m, 상부슬래브 두께 0.2m로 제작하고, 2016년 여름동안 시험체의 온도를 측정하였다. 측정 데이터의 신뢰성을 검증하기 위하여 측정된 대기기온과 기상청의 대기기온을 비교 검토하였다. 측정된 24개의 온도 측정 게이지 중 Euro code와 온도차를 비교 할 수 있는 4개의 온도 게이지를 선정하고, 측정온도의 분포를 분석하였다. 각 지점에서 최대 온도차를 선정하기 위한 기준 대기온도를 결정하여, 최대 최저 온도를 계산하고, 이를 바탕으로 온도차(경사)를 산정하고 온도차 모델을 제시하였다. 제시된 온도차 모델은 Euro code의 온도분포와 비교할 때 슬래브 최상단에서 $0.9^{\circ}C$, 중앙 경사부에서 $0.3{\sim}0.4^{\circ}C$의 온도차를 보여 Euro code와 유사한 결과를 보였다. 산정한 표준오차 계수는 표준오차의 2.71~2.84배로 산정되었고, 일정한 범위의 값을 보였다. 제시된 온도차 모델은 국내 온도설계의 온도차 산정 시 기본 자료로 활용될 수 있을 것으로 판단된다.

• Restorative Dentistry and Endodontics
• /
• 제24권2호
• /
• pp.337-345
• /
• 1999

The purpose of this study was to compare the shape of root canal after instrumentation with some engine driven NiTi files. Thirty narrow and curved canals(15-35 degree) of mesial canals of extracted human mandibular first molars were divided into three groups. Group 1: After radicular access with Gates Glidden drill, apical shaping using step back method with Flexo file Group 2: After radicular access with Gates Glidden drill, apical shaping with Profile .04 Group 3: Canal shaping with GT file and Profile .04. Using modified Bramante technique, the root was sectioned at 2 mm from apical foramen, height of curvature, 2 mm from canal orifice. Canal centering ratio, amount of transport, amount of dentin removed, shape of canal were measured and statistical analysis is done using SPSS Program V 7.5. The results were as follows: 1. Canal centering ratio of group 3 was the lowest at coronal part, but there was no statistical difference. Centering ratio of group 2 was the lowest at curve part, and there was statistical difference between group 1(P<0.05). Centering ratio of group 2 was the lowest at apical part, but there was no statistic difference. 2. Amount of transport of group 3 was the lowest at coronal part, but there was no statistical difference. Amount of transport of group 2 was the lowest at curve part, and there was statistical difference between group 1(P<0.05). Amount of transport of group 3 was the lowest at apical part, and there was statistical difference between group 1 and group 2, group 1 and group 3(P<0.05). 3. Amount of dentin removed of group 3 was the lowest at coronal part, bur there was no statistical difference. Amount of dentin removed of group 2 was the lowest at curve part, but there was no statistical difference. Amount of dentin removed or group 2 was the lowest at apical part, and there was statistical difference between group 1 and group 2, group 1 and group 3(P<0.05). 4. The shape of the canals after instrumentation varied among the groups. The majority of canals at coronal and curve part for group 1 were round in shape(7 in 10), those at apical part were oval(8 in 10). The majority of canals at coronal part for group 2 were round in shape(7 in 10) and there was no difference in the number of shape at other part. There was no difference in the number of shape at every part for group 3. As above results, NiTi rotary instrumentation showed a trend to remain more centered in the canal than SS file instrumentation. At using NiTi file, coronal shaping with Gates Glidden drill was not statistically different from shaping with GT file. But shaping with GT file showed tapered canals, so it may be said that shaping with GT file is a safe and valuable instrumentation method.