• Title/Summary/Keyword: contraction Principle

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PERIODICITY AND POSITIVITY IN NEUTRAL NONLINEAR LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS

  • Bessioud, Karima;Ardjouni, Abdelouaheb;Djoudi, Ahcene
    • Honam Mathematical Journal
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    • v.42 no.4
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    • pp.667-680
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    • 2020
  • Our paper deals with the following neutral nonlinear Levin-Nohel integro-differential with variable delay $${\frac{d}{dt}x(t)}+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{t-r(t)}}^t}a(t,s)x(s)ds+{\frac{d}{dt}}g(t,x(t-{\tau}(t)))=0.$$ By using Krasnoselskii's fixed point theorem we obtain the existence of periodic and positive periodic solutions and by contraction mapping principle we obtain the existence of a unique periodic solution. An example is given to illustrate this work.

QUALITATIVE ANALYSIS OF A PROPORTIONAL CAPUTO FRACTIONAL PANTOGRAPH DIFFERENTIAL EQUATION WITH MIXED NONLOCAL CONDITIONS

  • Khaminsou, Bounmy;Thaiprayoon, Chatthai;Sudsutad, Weerawat;Jose, Sayooj Aby
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.197-223
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    • 2021
  • In this paper, we investigate existence, uniqueness and four different types of Ulam's stability, that is, Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability of the solution for a class of nonlinear fractional Pantograph differential equation in term of a proportional Caputo fractional derivative with mixed nonlocal conditions. We construct sufficient conditions for the existence and uniqueness of solutions by utilizing well-known classical fixed point theorems such as Banach contraction principle, Leray-Schauder nonlinear alternative and $Krasnosel^{\prime}ski{\breve{i}}{^{\prime}}s$ fixed point theorem. Finally, two examples are also given to point out the applicability of our main results.

The Study on Pattern Differentiations of Primary Headache in Korean Medicine according to the International Classification of Headache Disorders (ICHD 분류에 따른 원발 두통의 한의학적 변증 연구)

  • Lee, Jeong So;Park, Mi Sun;Kim, Yeong Mok
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.31 no.4
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    • pp.201-212
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    • 2017
  • This study draws pattern differentiations of headache disorders on the ground of modern clinical applications and Korean medical literature. Categorization and symptoms of headache disorders are based on International Classification of Headache Disorders 3rd edition(beta version). And clinical papers are searched in China Academic Journals(CAJ) of China National Knowledge Infrastructure(CNKI). In the aspect of eight principle pattern identification, primary headache occurs due to lots of yang qi and has more inner pattern rather than exterior pattern, heat pattern rather than cold pattern, excess pattern rather than deficiency pattern. And primary headache is related with liver in the aspect of visceral pattern identification and blood stasis, wind and phlegm are relevant mechanisms. Migraine without aura is associated with ascendant hyperactivity of liver yang, phlegm turbidity, sunken spleen qi, wind-heat, blood deficiency or yin deficiency. Migraine with aura is mainly related with wind and it's major mechanisms are ascendant hyperactivity of liver yang, liver fire, yin deficiency of liver and kidney, blood deficiency or liver depression and qi stagnation. High repetition rate of tension-type headache can be identified as heat pattern or excess pattern. And trigeminal autonomic cephalalgias can also be accepted as heat pattern or excess pattern when the occurrence frequency is high and is relevant to combined pattern with excess pattern of external contraction and deficiency pattern of internal damage based on facial symptoms by external contraction and nervous and anxious status by liver deficiency. This study can be expected to be Korean medical basis of clinical practice guidelines on headache by proposing pattern identifications corresponding to the western classifications of headache disorders.

Positive and Negative Covariation Mechanism of Multiple Muscle Activities During Human Walking (보행 과정에서 발생하는 복합 근육 활성의 양성 및 음성 공변 메커니즘)

  • Kim, Yushin;Hong, Youngki
    • The Journal of the Korea Contents Association
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    • v.18 no.1
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    • pp.173-184
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    • 2018
  • In human walking, muscle co-contraction which produces simultaneous activities of multiple muscles is important in motor control mechanism of the central nervous system. This study aims to understand positive and negative covariation mechanism of inter-muscle activities during walking. In this study, we measured electromyography (EMG) in leg muscles. To identify motor modules, we recored EMG from 4 leg muscles bilaterally (the tibialis anterior, medial gastrocnemius, rectus femoris and medial hamstring muscles) and performed non-negative matrix factorization (NMF) and principa component analysis (PCA). Then, we computed covariation values from various combinations between muscles or motor modules and used two-way repeated measures analysis of variance to identify significantly different covariation patterns between muscle combinations. As the results, we found significant differences between covariation values of muscle combinations (p < 0.05). muscle groups within the same motor modules produced the positive covariations. However, there were strong negative covariation between motor modules. There was negative covariation in all muscle combination. Stable inter-module negative covariation suggests that motor modules may be the control unit in the complex motor coordination.

Neuromuscular Electrical Stimulation of Abdominal Muscles to Improve Standing Balance

  • Je, Jeongwoo;Choi, Woochol Joseph
    • Physical Therapy Korea
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    • v.29 no.4
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    • pp.269-273
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    • 2022
  • Background: Neuromuscular electrical stimulation (NMES) is used for muscle strengthening. While voluntary muscle contraction follows Henneman et al.'s size principle, the NMES-induced muscle training disrespects the neurophysiology, which may lead to unwanted changes (i.e., declined balance ability). Objects: We examined how the balance was affected by abdominal muscle training with the NMES. Methods: Fifteen young adults (10 males and 5 females) aged between 21 and 30 received abdominal muscle strengthening with NMES for 23 minutes. Before and after the training, participants' balance was measured through one leg standing on a force plate with eyes open or closed. Outcome variables included mean distance (MDIST), root mean square distance (RDIST), total excursion (TOTEX), mean velocity (MVELO), and 95% confidence circle area (AREA) of center of pressure data. Two-way repeated measures analysis of variance was used to test if these outcome variables were associated with time (pre and post) and vision. Results: All outcome variables were not associated with time (p > 0.05). However, all outcome variables were associated with vision (p = 0.0001), and MVELO and TOTEX were 52.4% (45.5 mm/s versus 95.6 mm/s) and 52.4% (364.1 mm versus 764.5 mm) smaller, respectively, in eyes open than eyes closed (F = 55.8, p = 0.0005; F = 55.8, p = 0.0005). Furthermore, there was no interaction between time and vision (F = 0.024, p = 0.877). Conclusion: Despite the different neurophysiology of muscle contraction, abdominal muscle strengthening with NMES did not affect balance.

Development of Wearing of Musculo-Skeletal Functional Garment for Adolescents' Idiopathic Scoliosis -With the Principle of Sports Taping Applied- (청소년 척추 측만증 환자를 위한 근골격계 보정 웨어 개발 - 스포츠 테이핑 원리 응용 -)

  • Park, Yang-Sun;Woo, Byung-Hoon;Kim, Jong-Moon;Lim, Young-Tae
    • Korean Journal of Applied Biomechanics
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    • v.22 no.3
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    • pp.365-371
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    • 2012
  • We aimed to analyze the muscle activity of adolescent patients with idiopathic scoliosis during gait and develop the wearing of musculo-skeletal functional garment by applying the principle of sports taping based on the result of the analysis. We selected 20 male students between the ages of 13 and 18 and divided them into 2 groups: one group consisted of 10 patients with idiopathic scoliosis <20 degrees of Cobb's Angle: the other group had 10 normal students. Using, we measured and analyzed the muscle activity of 8 different regions: left and right latissimus dorsi, left and right thoracolumbar fascia, left and right gluteus medius, and left and right biceps femoris during gait. Our results can be summarized as follows: Firstly, in patients with idiopathic scoliosis, the gait showed a significantly low activity of the right latissimus dorsi muscle when the left foot was supported on the ground(p<.05). Secondly, in the overall gait cycle, the patients showed a higher activity of the right thoracolumbar fascia and right gluteus medius than that seen in the normal students: however, this difference was not statistically significant. Thirdly, by applying sports taping on the bisis of the results, this study developed the wearing of musculo-skeletal functional garment that could maximize the stimuli of the right latissimus dorsi and alleviate muscle contraction of the right thoracolumbar fascia and right gluteus medius, while expanding the spinal line upward and downward, by focusing on the difference between left and right muscular strength of the muscle activity of the bright latissimus dorsi. Overall, we expect that by wearing of musculo-skeletal functional garment, the muscular functions in adolescents with idiopathic scoliosis.

Theoretical Basis and Application of the Neurac Technique Which Uses the Sling Exercise Therapy (슬링운동치료를 이 용한 Neurac 기법의 이론적 근거와 적용방법)

  • Kim, Suhn-Yeop;Kim, Taek-Yean
    • The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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    • v.12 no.2
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    • pp.52-65
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    • 2006
  • Sling exercises therapy can speak as appliable comprehensive exercises therapy technique efficiently in general exercise field for injured worker's rehabilitation process and health improvement patient or athlete, injury or disease that have pain or dysfunction to neuromuscular system using that shake. At 1990 an early stage, because physical therapist and doctors of medical treatment developed country norway of north europe cooperate sling exercises therapy's concept trend spreading worldwide establishing theory newly based on scientific basic be. Musculoskeletal system, old man and young child's nervous system injurer's treatment and exercise and industry worker's rehabilitation process, athlete's rehabilitation etc. several fields introduced in early 2000s to Korea apply. Sling exercises therapy neuromuscular system disease continuous abatement as general concept of active exercise and treatment that use sling exercises equipment by purpose know can. This review article wishes to introduce about neuromuscular activation, "Neurac" technique that can speak as step developed more concept based on application principle etc, of basic sling exercises effort's change by suspension point's change that is concept, stability exercises principle, open kinetic chain exercises and closed kinetic chain exercises. Arranged about Plateau potential's characteristic and working mechanism and Neurac technique's application method that can say as Neurac technique's neuro-physiologic base, and presented treatment method of lumbar part disease and cervical part, shoulder joint part disease to application example. Because plateau potential forward player that induce using Neurac technique in part muscles that act role that keep spine surrounding stability in this article keeps muscle's contraction continuously, between global and local muscles, presented several study findings that can cause affirmative change in insufficient muscle adjustment state such as imbalance of muscles' action order. Expect that case studies that use this Neurac technique here after consist continuously.

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Influence of the Change of Advertisement Policy in Broadcasting Industry (광고제도 변화가 방송 제작산업에 미친 영향)

  • Roh, Dong-Ryul
    • The Journal of the Korea Contents Association
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    • v.15 no.7
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    • pp.138-147
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    • 2015
  • The primary focus of Korea's advertisement policy has been on the securing of stability in the market through building categorical entry barriers whenever a new broadcaster came into the market. But the recent contraction of the advertisement market is pressing the policy makers to lift the categorical barriers to create one large-enough market. This change in the policy and the market, in turn, is triggering heightened competition among drama producers to get advertisements, at times, even at the expense of cost efficiency. The market is supposed to search for its own equilibrium in principle. This means that players, who fall behind, should be left to die out and exit, and the patient policy to let the market function on its own should be institutionalized. Separately, the fee-based public broadcasters should be banned from running advertisements.

A Study on Acupuncture in Shanghanlun(傷寒論) (『상한론(傷寒論)』의 자법(刺法)에 관한 고찰(考察))

  • Kim, Jong-Hyun;Jeong, Chang-Hyun;Jang, Woo-Chang;Baik, You-Sang
    • Journal of Korean Medical classics
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    • v.28 no.1
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    • pp.127-142
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    • 2015
  • Objectives : Through the comparative study on cases of acupuncture therapy in Sanhanlun(傷寒論), it would be expected to comprehend the theory of acupuncture for external contraction(外感). Methods : It has been done to analyse provisions of Sanghanlun, Hwangdineijing(黃帝內經), Nanjing(難經) related with acupuncture, and to compare the symptoms reported in Hwangdimingtangjing(黃帝明堂經) to Shanghanlun. Results : Most symptoms of the acupuncture points in Shanghanlun correspond with those in Hwangdimingtangjing. Visceral manifestation theory could explain the reason why some acupuncture points in Shanghanlun were selected, but Meridian theory could in 1 case only. Some provisions show that acupuncture was treated to increase the effect of medicines and the others to replace medicines. Conclusions : The main principle to select acupuncture in Shanghanlun were the effectiveness of each point and visceral manifestation. Acupuncture was tried to increase or replace the effect of medicines.

A Study on the Gagamjeong-gisan in the Onbyeongjobyeon - In Comparison with the Gwakhyangjeong-gisan - (『온병조변(溫病條辨)』 에 나타난 가감정기산(加減正氣散)에 대한 고찰 - 곽향정기산(藿香正氣散)과의 비교를 중심으로 -)

  • Kim Sanghyun;Kim Jong-hyun
    • Journal of Korean Medical classics
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    • v.36 no.2
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    • pp.77-96
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    • 2023
  • Objectives : The purpose and application method of the five kinds of Gagamjeong-gisan in the Onbyeongjobyeon were analyzed and their significance was examined. Methods : First, contents within medical texts on the Gwakhyangjeong-gisan, the original formula for the Gagamjeong-gisan were analyzed. Next, application, symptoms and pathogenic mechanism, treatment principle, composition of the Gagamjeong-gisan as written in the Onbyeongjobyeon were analyzed. Characteristics of each formula as deduced from this process were compared and examined. Results : The Gwakhyangjeong-gisan covers both external contraction and internal damage, applied regardless of external or internal symptoms. It restores the Yang qi of the Spleen and Stomach, balancing the Zheng qi to respond to the external qi. The Gagamjeong-gisan takes after the Gwakhyangjeong-gisan, reflecting such properties. However, the latter differs in that it excludes ingredients unfit for treating dampness-warmth, and uses different application methods according to the level of discharge of dampness pathogen. Conclusions : The Gagamjeong-gisan is modified from the Gwakhyangjeong-gisan, which is applied to cold damage and internal damage to better treat warm disease. It can be said to have acted as a bridge for warm disease scholars in composing formulas that deal with dampness-heat disease.