• Title/Summary/Keyword: Existence Value

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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SINGULAR BOUNDARY VALUE PROBLEMS IN A BALL

  • Lokenath Debnath;Xu, Xing-Ye
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.237-249
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    • 2004
  • This paper deals with existence of positive solutions of nonlinear elliptic singular boundary value problems in a ball. It is shown that results of Grandall et al. [1] and [2] follow as special cases of our results proved in this article.

MULTIPLE SOLUTIONS FOR THE NONLINEAR PARABOLIC PROBLEM

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.251-259
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    • 2009
  • We investigate the multiple solutions for the nonlinear parabolic boundary value problem with jumping nonlinearity crossing two eigenvalues. We show the existence of at least four nontrivial periodic solutions for the parabolic boundary value problem. We restrict ourselves to the real Hilbert space and obtain this result by the geometry of the mapping.

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ON PERIODIC BOUNDARY VALUE PROBLEMS OF HIGHER ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS WITH p-LAPLACIAN

  • Liu, Yuji;Liu, Xingyuan
    • Communications of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.29-40
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    • 2009
  • Motivated by [Linear Algebra and its Appl. 420(2007), 218-227] and [Linear Algebra and its Appl. 425(2007), 171-183], we, in this paper, study the solvability of periodic boundary value problems of higher order nonlinear functional difference equations with p-Laplacian. Sufficient conditions for the existence of at least one solution of this problem are established.

ANALYSIS OF SOLUTIONS FOR THE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES

  • KARTHIKEYAN, K.;RAJA, D. SENTHIL;SUNDARARAJAN, P.
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.305-316
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    • 2022
  • We study the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach's contraction principle and the Schauder's fixed point theorem. In addition, an example is given to demonstrate the application of our main results.

A Survey on Preservation of Traditional Stone Fences in Jeju (제주 전통돌담의 유지보전에 관한 의식조사)

  • Rhee, Sang-Young
    • Journal of Korean Society of Rural Planning
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    • v.13 no.1 s.34
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    • pp.33-40
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    • 2007
  • The purpose of this paper is to analyze the value of stone fences in Jeju Island. The result that executes attitude survey to local resident and visitor can be summarizing as following. First are the function and the value of Jeju traditional stone fences. Local resident favored the culture heritage succession and evaluated its' usage Value highly. Visitors also have favored rural landscape offer function and evaluated inheritance value (Bequest Value) highly. Secondly, 80.5% of visitors, 78.1% of local resident have formed opinion about preservation of traditional stone fences. But the Willingness to pay for traditional stone fences fund was raised by 38.6% in local resident and 55.7% in visitor. The reason that willingness to pay does not exist is that it is chargeable to connection group and government, or it has no money to pay. Thirdly, local resident wanted to use made up stone fence preservation fund in rural landscape offer function. Visitor wanted that it is used to raise various function of stone fence.

A Study on the Influence Coaxial Parallel Magnetic Field upon Plasma Jet (II) (Plasma Jet의 동축평행자계에 의한 영향에 관한 연구 2)

  • Choon Saing Jhoun
    • 전기의세계
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    • v.22 no.5
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    • pp.19-32
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    • 1973
  • This paper treats with some of plasma jet behaviors under magnetic field for the purpose of controlling important characteristics of plasma jet in the practices of material manufacturings. Under the existence and non-existence of magnetic field, the pressure distribution, flame length, stability and noise of plasma jet are comparatively evaluated in respect of such parameters as are current, gap of electrode, quantity of argon flow, magnetic flux density, diameter and length of nozzle. The results are as follows: 1) the pressure, the length and the noise of plasma jet rise gradually with the increase of are current, and have high values under identical arc current as the diameter of nozzle increases, but reverse phenomenon tends to appear in the noise. 2) The pressure, the flame length and the noise increase with the increased quantity of argon flow, and the rising slope of noise is particularly steep. Under magnetic field, the quantity of argon flow in respect of flame length has the critical value of 80(cfh). 3) The pressure and length of flame decrease with small gradient value as the length of gap increases, but the noise tends to grow according to the increase of nozzle diameter. 4) The pressure and the length of jet flame decrease inversly with the increase of magnetic flux density, which have one critical value in the 100 amps of arc current and two values in 50 amps. The pressure of jet flame can be below atomospher pressure in strong magnetic field. 5) "The constriction length of nozzle has respectively the critical value of 6(mm) for pressure and 23(mm) for the length of flame. 6) Fluctuations in the wave form of voltage become greater with the increase of argon flow and magnetic flux density, but tends to decrease as arc current increases, having the frequency range of 3-8KHz. The wave form of noise changes almost in parallel with that of voltage and its changing value increases with argon flow, arc current and magnetic flux density, having the freuqency range of 6-8KHz. The fluctuation of jet presurre is reduced with the increase of argon flow and magnetic flux density and grows with arc current.rent.

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A Study on Consumer Value and Corporate Social Responsibility Distribution Activities

  • Lee, Jae-Min
    • Journal of Distribution Science
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    • v.17 no.4
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    • pp.17-26
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    • 2019
  • Purpose - Today's companies concentrate intensively on building consumer value and corporate reputation for continuing growth and advancement in an ever-changing global business management environment. This research intended to study the correlation between consumer value and corporate social responsibility (CSR) activities in building corporate reputation with consumers. Research design, data, and methodology - Online and offline surveys were conducted among male and female adults across Korea. Surveys were conducted for three weeks from August 21, 2018 to September 8, 2018. The samples consisted of 350 offline and 112 online surveys, and a combined total of 462 samples was used for final analysis. Result - Higher consumer value means a greater chance that consumers will select that company's products over those of competitors. For competitive advantage purposes, companies use various consumer management strategies to bolster consumer value and corporate reputation with consumers. Conclusions - Brand assets are subject to ethical responsibility, which is a dimension of corporate social responsibility. Of note, one relevant finding about brand assets (similar to findings in previous research) is the existence of confusion about brand recognition and brand image as perceived by customers.

A MULTIPLICITY RESULT FOR FOURTH-ORDER BOUNDARY VALUE PROBLEMS VIA CRITICAL POINTS THEOREM

  • Zou, Yu-Mei
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1541-1547
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    • 2011
  • In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.

A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.20 no.2
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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.