• 대한수학회지
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• 제39권4호
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• pp.559-577
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• 2002

It is known that the analytic operator-valued Feynman integral exists for some "potentials" which we so singular that they must be given by measures rather than by functions. Corresponding stability results involving monotonicity assumptions have been established by the author and others. Here in our main theorem we prove further stability theorem without monotonicity requirements.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2002년도 ICCAS
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• pp.44.4-44
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• 2002

This paper investigates some conditions such that zeros are added to the system with a monotone nondecreasing step response in order to hold the monotonicity as before. Two conditions are presented for the cases that a real zero and complex conjugate zeros are added to the system satisfying the monotonicity condition, respectively. To exemplify the proposed results, some simple examples via computer simulation are shown in this paper. Proposed conditions can be easily used in the control system design since they are only formulated in terms of pole-zero configurations.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.135-146
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• 2005

In this paper, we suggest and analyze a class of iterative methods for solving hemiequilibrium problems using the auxiliary principle technique. We prove that the convergence of these new methods either requires partially relaxed strongly monotonicity or pseudomonotonicity, which is a weaker condition than monotonicity. Results obtained in this paper include several new and known results as special cases.

• 전기의세계
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• 제49권9호
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• pp.17-24
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• 2000

This paper presents sufficient conditions7 for monotonicity of the saddle point value for receding-horizon H$\infty$ control(RHHC). The resulting monotonicity is used to prove the stability of the closed-loop. Under these sufficient conditions the well-known terminal equality condition is handled as a special case and the condition on the state weighting matrix is weakened so as to include even the zero matrix. The whole procedure is much simpler than the previous results and thus is expected to be easily extended for constrained delayed and/or nonlinear systems with the RHHC.

• East Asian mathematical journal
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• 제17권2호
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• pp.303-308
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• 2001

Let K($z,\gamma$) denote the euclidean curvature of the curve $\gamma$ at the point z. Flinn and Osgood proved that if f is a univalent mapping of the open unit disk D={z:|z|<1} into itself with f(0)=0 and |f'(0)|<1, then $K(0,\gamma){\leq}K(0,f\;o\;\gamma)$ for any $C^2$ curve $\gamma$ on D through the origin with $K(0,\gamma){\geq}4$. In this paper we establish a generalization of the Flinn-Osgood Monotonicity Theorem.

• 대한수학회논문집
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• 제34권1호
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• pp.287-301
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• 2019

In this paper we study monotonicity the first eigenvalue for a class of (p, q)-Laplace operator acting on the space of functions on a closed Riemannian manifold. We find the first variation formula for the first eigenvalue of a class of (p, q)-Laplacians on a closed Riemannian manifold evolving by the Ricci-Bourguignon flow and show that the first eigenvalue on a closed Riemannian manifold along the Ricci-Bourguignon flow is increasing provided some conditions. At the end of paper, we find some applications in 2-dimensional and 3-dimensional manifolds.

• 대한수학회논문집
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• 제34권2호
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• pp.573-583
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• 2019

This article studies the monotonicity, log-convexity of the modified Lommel functions by using its power series and infinite product representation. Some properties for the ratio of the modified Lommel functions with the Lommel function, sinh and cosh are also discussed. As a consequence, $Tur{\acute{a}}n$ type and reverse $Tur{\acute{a}}n$ type inequalities are given. A Rayleigh type function for the Lommel functions are derived and as an application, we obtain the Redheffer-type inequality.

• 대한수학회지
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• 제56권3호
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• pp.669-688
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• 2019

In this paper, we introduce the notion of the generalized symphonic map with respect to the functional ${\Phi}_{\varepsilon}$. Then we use the stress-energy tensor to obtain some monotonicity formulas and some Liouville results for these maps. We also obtain some Liouville type results by assuming some conditions on the asymptotic behavior of the maps at infinity.

• 대한수학회지
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• 제61권3호
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• pp.445-459
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• 2024

In this paper, by establishing the direct method of moving planes for the fractional Laplacian system with positive-negative mixed powers, we obtain the radial symmetry and monotonicity of the positive solutions for the fractional Laplacian systems with positive-negative mixed powers in the whole space. We also give two special cases.

• 응용통계연구
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• 제30권5호
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• pp.665-679
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• 2017

생산성 평가를 위해서는 주어진 생산 자료를 기반으로 투입 대비 최대산출량을 나타내는 최대산출량을 나타내는 생산 프런티어 곡선에 대한 정보가 필요한 경우가 많다. 이러한 프런티어 함수를 확률프런티어 모형하에서 추정하는 경우에 초기에는 프런티어 함수의 특정한 모수적 형테를 가정하는 경우가 많았다. 그러나 최근에는 프런티어 함수를 프런티어 함수가 기본적으로 만족해야 하는 단조성이나 오목성등을 만족하도록 하면서 비모수적 방법으로 추정하는 방법들이 많이 이루어졌다. 하지만, 이러한 방법들에서 얻어지는 추정량들은 프런티어 함수를 조각적 선형함수 또는 계단함수로 추정하는 특징 때문에 추정의 효율이 떨어지나가 프런티어 함수가 해석이 용이하지 않은 불연속점을 가지는 문제를 가지게 된다. 본 논문에서는 이러한 문제를 해결하기 위해 확률프런티어 모형에서 단조증가하는 매끄러운 프런티어 함수 추정법을 제시하고 제안된 추정방법이 기존의 추정방법에 비해서 가지는 추정 효율의 장점을 시뮬레이션를 통해 예시하였다.