• Korean Journal of Mathematics
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• 제26권1호
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• pp.9-21
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• 2018

We investigate existence and multiplicity of the solutions for elliptic boundary value problem with two singularities. We obtain one theorem which shows that there exists at least one nontrivial weak solution under some conditions on which the corresponding functional of the problem satisfies the Palais-Smale condition. We obtain this result by variational method and critical point theory.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.79-87
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• 2009

This paper deals with the multipoint boundary value problem for one dimensional p-Laplacian $({\phi}_p(u'))'(t)$ + f(t,u(t)) = 0, $t{\in}$ (0, 1), subject to the boundary value conditions: u'(0) - $\sum\limits^n_{i=1}{\alpha_i}u({\xi}_i)$ = 0, u'(1) + $\sum\limits^n_{i=1}{\alpha_i}u({\eta}_i)$ = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem.

• Journal of applied mathematics & informatics
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• 제34권3_4호
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• pp.269-284
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• 2016

In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

• Korean Journal of Mathematics
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• 제20권2호
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• pp.263-271
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• 2012

We investigate the number of the solutions for the biharmonic boundary value problem with a variable coefficient nonlinear term. We get a theorem which shows the existence of $m$ weak solutions for the biharmonic problem with variable coefficient. We obtain this result by using the critical point theory induced from the invariant function and invariant linear subspace.

• Korean Journal of Mathematics
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• 제20권3호
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• pp.333-341
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• 2012

We investigate the number of solutions for the superlinear elliptic bifurcation problem with Dirichlet boundary condition. We get a theorem which shows the existence of at least $k$ weak solutions for the superlinear elliptic bifurcation problem with boundary value condition. We obtain this result by using the critical point theory induced from invariant linear subspace and the invariant functional.

• Journal of applied mathematics & informatics
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• 제32권5_6호
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• pp.791-805
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• 2014

In this article, we investigate third order three-point fuzzy boundary value problem to using a generalized differentiability concept. We present the new concept of solution of third order three-point fuzzy boundary value problem. Some illustrative examples are provided.

• Korean Journal of Mathematics
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• 제22권2호
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• pp.355-365
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• 2014

We show the existence of nontrivial solutions for some fourth order elliptic boundary value problem with fully nonlinear term. We obtain this result by approaching the variational method and using a linking theorem. We also get a uniqueness result.

• 디지털융복합연구
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• 제17권5호
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• pp.319-326
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• 2019

본 연구는 대학생의 생활스트레스가 공격성에 미치는 영향을 파악하기 위해 시도되었다. 연구대상은 D시에 재학중인 대학생 262명이었으며, 자료수집 기간은 2017년 9월 5일부터 7일까지 3일간이었다. 연구도구는 대학생활스트레스 도구와 공격성 도구를 사용하였으며, 자료분석은 IBM SPSS 25.0 프로그램을 사용하였다. 본 연구결과는 다음과 같다. 대상자의 생활스트레스는 학업관련 스트레스가 가장 높았다. 일반적 특성에 따른 공격성은 성별(t=4.43, p<.001), 전공(F=13.66, p<.001)에 따라 유의한 차이가 있었으며, 대학생의 공격성은 대인관계 문제(r=.49, p<.001), 학업 문제(r=.34, p<.001), 경제 문제(r=.34, p<.001), 장래 문제(r=.35, p<.001), 가치관 문제(r=.31, p<.001)와 각각 양의 상관관계가 있었다. 대학생의 공격성에 영향을 미치는 요인으로는 대인관계 문제, 자연계열 전공, 학업 문제로 이들 요인은 공격성을 30% 설명하였다. 본 연구를 통하여 대학생의 생활스트레스의 정도 및 공격성에 영향을 미치는 요인들을 파악할 수 있었으며, 이를 통하여 대학생의 공격성 관리를 위한 프로그램 구성의 방향을 제시했다는 점에서 연구의 의의를 둘 수 있다.

• Communications for Statistical Applications and Methods
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• 제25권5호
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• pp.545-557
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• 2018

The inclusion of covariates in the model often affects not only the estimates of meaningful variables of interest but also its statistical significance. Such gap between statistical and subject-matter significance is a critical issue in huge sample studies. A popular huge sample study, the sample cohort data from Korean National Health Insurance Service, showed such gap of significance in the inference for the effect of obesity on cause of mortality, requiring careful consideration. In this regard, this paper proposes a sample size calibration method based on a Monte Carlo t (or z)-test approach without Monte Carlo simulation, and also proposes a test procedure for subject-matter significance using this calibration method in order to complement the deflated p-value in the huge sample size. Our calibration method shows no subject-matter significance of the obesity paradox regardless of race, sex, and age groups, unlike traditional statistical suggestions based on p-values.

• Korean Journal of Mathematics
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• 제18권3호
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• pp.323-334
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• 2010

We give a theorem for the existence of at least three solutions for the fourth order elliptic boundary value problem with the square growth variable coefficient nonlinear term. We use the variational reduction method and the critical point theory for the associated functional on the finite dimensional subspace to prove our main result. We investigate the shape of the graph of the associated functional on the finite dimensional subspace, (P.S.) condition and the behavior of the associated functional in the neighborhood of the origin on the finite dimensional reduction subspace.