淡江大學機構典藏:Item 987654321/41301
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    Title: Eigenvalue Intervals for 2mth Order Sturm—Liouville Boundary Value Problems
    Authors: Chen, K. Y.;錢傳仁;Chyan, Chuan-jen
    Contributors: 淡江大學數學學系
    Keywords: Measure Chain;Eigenvalue;Positive Solution;Boundary Value Problem;Cone
    Date: 2002-05-01
    Issue Date: 2010-01-28 07:14:17 (UTC+8)
    Publisher: Taylor & Francis
    Abstract: Values of λ are determined for which there exist positive solutions of the 2mth order differential equation on a measure chain, (-1)m x ▵2m (t)=λa(t)f(u(σ(t))), y∊ [0,1], satisfying α i+1 u ▵21(0)+0, γ i+1 u ▵21(σ(1))=0, 0≤i≤m−1 with αi,βi,γi,δi≥0, where a and f are positive valued, and both lim x-0+ (f(x)/x) and lim x-0+ (f(x)/x) exist.
    Relation: Journal of Difference Equations & Applications 8(5), pp.403-413
    DOI: 10.1080/10236190290017450
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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