Investigation of spectrum curves for a Sturm-Liouville Problem with two-Point nonlocal boundary conditions

Investigation of spectrum curves for a Sturm-Liouville Problem with two-Point nonlocal boundary conditions
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DOI:
10.3846/mma.2020.10787
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发表时间:
2020-01
期刊:
Math. Model. Anal.
影响因子:
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通讯作者:
Kristina Bingelė;Agnė Bankauskienė;A. Štikonas
Kristina Bingelė;Agnė Bankauskienė;A. Štikonas
中科院分区:
其他
文献类型:
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作者:
Kristina Bingelė;Agnė Bankauskienė;A. Štikonas

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本文研究了具有一个经典两点边界条件和另一个非局部两点边界条件的Sturm-Liouville问题。在非局部边界条件下,分析了特征函数的零点、极点和临界点,以及特征函数的性质与参数的关系。频谱曲线的特性以图表形式表示并说明了参数λ的不同值。
The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition. Properties of the Spectrum Curves are formulated and illustrated in figures for various values of parameter ξ.