Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem

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• 作者：Mervis Kikonko^a ; ^b ; ^{mervis.kikonko@ltu.se" class="auth_mail" title="E-mail the corresponding author} ; ^{mervis.kikonko@unza.zm" class="auth_mail" title="E-mail the corresponding author} ; Angelo B. Mingarelli^c ; ^{angelo@math.carleton.ca" class="auth_mail" title="E-mail the corresponding author}
• 关键词：34C10 ; 34B25
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 December 2016
• 年：2016
• 卷：261
• 期：11
• 页码：6221-6232
• 全文大小：275 K

文摘

In this paper we obtain bounds on the real and imaginary parts of non-real eigenvalues of a non-definite Sturm–Liouville problem, with Dirichlet boundary conditions, that improve on corresponding results obtained in Behrndt et al., [7].