• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.737-746
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• 2017

In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern-Simons-Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.

• Korean Journal of Mathematics
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• v.26 no.4
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• pp.583-599
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• 2018

In this paper, we are concerned with the existence of random dynamics for stochastic non-autonomous reaction-diffusion equations driven by a Wiener-type multiplicative noise defined on the unbounded domains.

• Journal of Korean Academy of Nursing
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• v.1 no.1
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• pp.59-63
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• 1970

As a result of inquiry about menarche age, existence or non-existence of menstruation, comparative menarche age by regina groups, and monthly occurrence rate of menarche among 1642 school girls in Kwangju district, we obtained the following conclusion. 1. The menarche age of school girls in Kwangju district was 10-17, and the average age was 14.03$\pm$1.85. 2. According to the percentage of menarche occurrence by the present age. we got a fact that 58.67% had menarche at 13 to 15-year-old school girls. So the tendency is that menarche occurs sooner by degrees. 3. As a result of inquiry about the existence or non-existence of menarche by the present age, 54.54% have not had menarche among 15-year-old school girls. There is one person who have not had it at 18, and none that have not had it at over 19. 4. The menarche age by regional groups shows that menarche occurs at 13.85 in the city and at 14.27 in the country: those inhabited in the city have menarche sooner than those in the country. 5. Monthly rate of menarche occurrence shows that August in the largest number, December the second, January the third, and so on.

• Journal of Electrical Engineering and Technology
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• v.6 no.5
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• pp.706-712
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• 2011

Necessary and sufficient conditions for the existence of diagonal, block-diagonal, and triangular decoupling controllers in linear multivariable systems for the most general setting are presented. The plant model in this study is sufficiently general to accommodate non-square plant and non-unity feedback cases with one-degree-of-freedom (1DOF) or two-degree-of-freedom (2DOF) controller configuration. The existence condition is described in terms of rank conditions on the coefficient matrices in partial fraction expansions.

• Journal of Pharmacopuncture
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• v.23 no.4
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• pp.252-261
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• 2020

Objectives: Chronic diseases (CDs) continue to increase due to advances in medicine and increase in lifespan, affecting quality of life and resulting in economic loss through treatment costs. This study addressed the perception characteristics of the effectiveness of Korean medicine (KM) based on the existence of a CD to determine the national preference for KM treatment. Methods: Using data from the 2017 National Survey of KM Usage, we evaluated the perception on treatment effect of 16 diseases by dividing them into the CD group and the non-CD group. Response reliability was verified by applying the chi-square test (χ2-test) analysis method of the Statistical Package for the Social Sciences (SPSS) statistical program. Results: The analysis of the perception on effectiveness of KM for patients with CD (n = 1,050, 21.0%) and for patients with non-CD (n = 3,950, 79.0%) showed an overall similar trend for all the 16 diseases. The response rates of having some treatment effect were high for nine diseases namely, disc-related disease (CD: 70.7%, non-CD: 73.1%), osteoarthritis (CD: 72.3%, non-CD: 72.4%), frozen shoulder and shoulder pain (CD: 79.6%, non-CD: 81.4%), back pain (CD: 84.6%, non-CD: 85.0%), sprain (CD: 84.8%, non-CD: 84.1%), facial nerve paralysis (CD: 73.5%, non-CD: 71.7%), stroke (CD: 66.2%, non-CD: 62.8%), digestive disease (CD: 53.3%, non-CD: 50.0%), and common cold and rhinitis (CD: 44.7%, non-CD: 44.8%). Conclusion: The present results found that there was little difference in the perception on effectiveness of KM for each of the 16 diseases in patients with CD and non-CD, however, 70% or more of the respondents recognized some treatment effect on musculoskeletal disorders, regardless of the existence of CD. Preferential political support for KM treatment of chronic musculoskeletal disorders is recommended.

• Communications of the Korean Mathematical Society
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• v.22 no.3
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• pp.465-474
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• 2007

With the help of the coincidence degree and the related continuation theorem, we explore the existence of at least two periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system with control. Some easily verifiable sufficient criteria are established for the existence of at least two positive periodic solutions.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.2
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• pp.187-220
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• 2016

This paper is concerned with a kind of non-homogeneous boundary value problems for singular second order differential systems with Laplacian operators. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of boundary value problems are established. An example is presented to illustrate the main results.

• Communications of the Korean Mathematical Society
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• v.15 no.4
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• pp.641-648
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• 2000

The purpose of this paper is to give a necessary and sufficient condition for a smooth manifold to admit a Lorentzian metric. As an application of this result, on Lorentzian manifolds we have shown that the existence of a 1-dimensional distribution is equivalent to the existence of a non-vanishing vector field.

• Kyungpook Mathematical Journal
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• v.60 no.1
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• pp.197-210
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• 2020

In this paper, we prove that there are no non-trivial 𝒫ℛ-semi-slant warped product submanifolds with proper slant coefficients in para-Kähler manifolds ${\bar{M}}$. We also present a numerical example that illustrates the existence of a 𝒫ℛ-warped product submanifold in ${\bar{M}}$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.6
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• pp.1339-1348
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• 2022

Let A = {a₁ < a₂ < ⋯} be a sequence of integers and let P(A) = {Σε_ia_i : a_i ∈ A, ε_i = 0 or 1, Σε_i < ∞}. Burr posed the following question: Determine conditions on integers sequence B that imply either the existence or the non-existence of A for which P(A) is the set of all non-negative integers not in B. In this paper, we focus on some problems of subset sum related to Burr's question.