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LONG TIME BEHAVIOR OF SOLUTIONS TO SEMILINEAR HYPERBOLIC EQUATIONS INVOLVING STRONGLY DEGENERATE ELLIPTIC DIFFERENTIAL OPERATORS

  • Luyen, Duong Trong;Yen, Phung Thi Kim
    • Journal of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1279-1298
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    • 2021
  • The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate hyperbolic equation involving strongly degenerate elliptic differential operators. The attractor is characterized as the unstable manifold of the set of stationary points, due to the existence of a Lyapunov functional.

SOME EXTENSION ON HESITANT FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • M. SANKARI;C. MURUGESAN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.265-272
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    • 2023
  • This article presents a novel notion of hesitant fuzzy cleanly covered in hesitant fuzzy topological spaces;moreover two strong hesitant fuzzy separation axioms are investigated. Based on fuzzy maximal open sets few properties of hesitant fuzzy cleanly covered are obtained. By dint of hesitant fuzzy minimal open and fuzzy maximal closed sets two strong hesitant fuzzy separation axioms are extended.

CERTAIN ASPECTS OF ${\mathcal{I}}$-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE

  • MEHMET GURDAL
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.265-279
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    • 2023
  • In this paper, we firstly presented the definitions of arithmetic ${\mathcal{I}}$-statistically convergence, ${\mathcal{I}}$-lacunary arithmetic statistically convergence, strongly ${\mathcal{I}}$-lacunary arithmetic convergence, ${\mathcal{I}}$-Cesàro arithmetic summable and strongly ${\mathcal{I}}$-Cesàro arithmetic summable using weighted density via Orlicz function ${\tilde{\phi}}$. Then, we proved some theorems associated with these concepts, and we examined the relationship between them. Finally, we establish some sequential properties of ${\mathcal{I}}$-lacunary arithmetic statistical continuity.

MITTAG LEFFLER FUNCTIONS ASSOCIATED WITH FUNCTIONS THAT MAP OPEN UNIT DISC ONTO A SECTOR OF THE RIGHT-HALF PLANE

  • AFIS SALIU;KANWAL JABEEN;SEMIU OLADIPUPO OLADEJO;OLAIDE YETUNDE SAKA-BALOGUN
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.937-946
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    • 2023
  • In this present work, we inaugurated subclasses of analytic functions which are associated with generalized Mittag Leffler Functions. Inclusion implications and integral preserving properties under the Bernardi integral operator are investigated. Some consequences of these findings are also illustrated.

CERTAIN SUBCLASS OF STRONGLY MEROMORPHIC CLOSE-TO-CONVEX FUNCTIONS

  • Gagandeep Singh;Gurcharanjit Singh; Navyodh Singh
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.73-82
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    • 2024
  • The purpose of this paper is to introduce a new subclass of strongly meromorphic close-to-convex functions by subordinating to generalized Janowski function. We investigate several properties for this class such as coefficient estimates, inclusion relationship, distortion property, argument property and radius of meromorphic convexity. Various earlier known results follow as particular cases.

The Effect of Bee Venom & Melittin Solution on Cell Death in Synovial Cell Line (봉독(蜂毒) 및 Melittin 약침액(藥鍼液)이 관절염(關節炎) 활액세포(滑液細胞)에 미치는 영향(影響))

  • Han, Sang-won;Park, Ki-hyeon;Jung, Tae-young;Seo, Jung-chul
    • Journal of Acupuncture Research
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    • v.19 no.4
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    • pp.74-88
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    • 2002
  • Objectives : This study is aimed to investigate the effects of bee venom and melittin on cell death in synovial cell line. Methods : It was evaluated by using MTT assay, morphologic method, DNA fragmenation, NO generation, flow cytometry, immunocytochemistry analysis, RT-PCR, Western blot. Results : The obtained results are summarized as follows: 1. The MTT assay demonstrated that synovial cell viability was significantly inhibitted dose-dependently by treatment with bee venom and melittin in comparison with control. 2. The morphologic study demonstrated that synovial cell showed apoptosis after treatment with bee venom and melittin for 6 hours using microscope. 3. In case of NO generation bee venom group and melittin group showed significant inhibition in comparison with control. 4. The Flow cytometry demonstrated that apoptosis of synovial cell treated with bee venom and melittin was related with stop of cell cycle in stage of $G_0/G_1$. 5. DNA fragmenation demonstrated that synovial cell treated with bee venom and melittin showed DNA ladder below l Kbp. 6. Immunocytochemistry assay demonstrated that COX-II and PLA2 were strongly down-regulated by treatment with bee venom and melittin whereas iNOS was almostly not expressed by bee venom treatment and slightly expressed by melittin treatment. 7. RT-PCR analysis demonstrated that iNOS were strongly down-regulated by treatment with bee venom and melittin whereas COX-II was almostly not expressed by bee venom treatment and slightly expressed by melittin treatment. 8. Western blot demonstrated that iNOS were strongly down-regulated by treatment with $15{\mu}g/ml$ bee venom whereas COX-II was strongly down-regulated from $5{\mu}g/ml$ bee venom. Conclusions : These results suggest that bee venom and melittin have significant effect on cell death in synovial cell line and further study is needed in vivo.

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Wind Effects on Tidal Currents in Gamak Bay

  • Lee, Moon-Ock;Kim, Byeong-Kuk
    • Journal of Ocean Engineering and Technology
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    • v.23 no.2
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    • pp.18-27
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    • 2009
  • This study was conducted to examine the effect of wind on the circulation of seawater in Gamak Bay, which contains numerous farms for fish and shellfish but suffers a significant loss by fisheries nearly annually from harmful algal blooms. In numerical experiments with a simplified bathymetry for Gamak Bay, the wind in summer appeared to more strongly influence the east-westward flow than the south-northward flow. In winter, this trend was nearly similar to the summer but seemed to have a greater effect on the flow at the north-west of the bay than the flow at the south mouth of the bay. On the other hand, in numerical experiments with a realistic bathymetry for Gamak Bay, the wind in summer appeared to more strongly influence the east-westward flow than the south-northward flow. Furthermore, the effect of the wind was stronger at the south mouth of the bay than at the north-west of the bay. In contrast, the wind in winter affected the east-westward flow more strongly and its effect appeared stronger at the north-west of the bay than at the south mouth of the bay. In addition, the effect of the wind tended to increase with distance from the east to the west. Therefore, the tidal currents in Gamak Bay proved to be strongly influenced by the wind, in particular east-westward. However, some measures are urgently required to improve the water quality of the bay, since the south-northward flow turned out to be obstructed by an east-westward shoal located in the middle of the bay.

EXPRESSION OF OSTEONECTIN IN DEVELOPING TOOTH GERM AND ODONTOGENIC TUMORS (발생 치배와 치성 종양에서 Osteonectin발현에 관한 연구)

  • Jeen, Goog-Beum;Kim, Soo-Nam;Kim, Eun-Cheol
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.25 no.4
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    • pp.311-323
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    • 1999
  • The osteonectin is a sort of glycoprotein which is secreted in human tissues. The osteonectin is generally detected in number of normal or neoplastic human tissues in vivo, but hasn't been studied the role of osteonectin in developing human teeth and odontogenic tumors. We evaluated degree of the expression of osteonectin immunohistochemically in 20 cases of developing tooth germ which growth from fetus 5 to 38 weeks, and total 51 odontogenic tumors whitch has taken from routine biopsy, such as 10 ameloblastomas, 5 cases of adenomatoid odontogenic tumors and odontomas and odontogenic fibromas, 4 cases of cementomas and calcifying epithelial odontogenic cyst and odontogenic keratocyst and dentigerous cysts and periapical cysts, and 3 cases of ameloblastic fibromas and myxomas. The results were as follows: 1. The osteonectin on the bud stage of tooth germ was strongly expressed in the epithelial dental lamina and in the outer dental epithelium on the early bell stage, and also strongly expressed in the inner dental epithelium on the late bell stage of tooth germs. 2. In ameloblastoma, the osteonectin was strongly expressed in the epithelial tumor component and especially in the acanthomatous types. 3. In both of calcifying epithelial odontogenic tumor and adenomatoid odontogenic tumors, the osteonectin was moderately expressed on the duct like spindle cells and epithelial tumor cells around calcification areas. 4. In odontogenic tumors originated from epithelial-mesenchymal tissues, the osteonectin was moderately expressed on the epithelial tumor components and in odontogenic cysts, it was expressed in ghost cells and calcification areas only. These were summaried the osteonectin may be strongly related to the developing tooth germ and odontogenic tumors and could be regulated hard tissue of human tooth in morphogenesis and involved with calcification mechanism in development odontogenic tumors.

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