撤稿:具有转移条件且边界条件中含有谱参数的两类三阶有限谱边值问题
Two Classes of Third Order Boundary Value Problems of Finite Spectrum with Transmission Conditions and Spectral Parameters in the Boundary Conditions
DOI: 10.12677/AAM.2019.810193, PDF, HTML, 下载: 810  浏览: 2,232  科研立项经费支持
作者: 朱军伟：兰州理工大学理学院，甘肃 兰州
关键词: 转移条件；谱参数；判断函数；Rouche定理；Transmission Conditions； Spectral Parameters； Characteristic Function； Rouche’s Theorem
摘要: 撤稿声明：“ 具有转移条件且边界条件中含有谱参数的两类三阶有限谱边值问题”一文刊登在2019年8月出版的《应用数学进展》2019年第8卷第10期第1636-1649页上。因该文由于数据使用重复，作者主动申请撤稿。根据国际出版流程，编委会现决定撤除此重复稿件，保留原出版出处： 朱军伟. 具有转移条件且边界条件中含有谱参数的两类三阶有限谱边值问题[J]. 应用数学进展, 2019, 8(10): 1636-1649. https://doi.org/10.12677/AAM.2019.810193
文章引用：  

参考文献

[1] Kong, Q., Wu, H. and Zettl, A. (2001) Sturm-Liouville Problems with Finite Spectrum. Mathematical Analysis and Applications, 263, 748-762.
https://doi.org/10.1006/jmaa.2001.7661
[2] Ao, J.J., Bo, F.Z. and Sun, J. (2014) Fourth Order Boundary Value Problems with Finite Spectrum. Applied Mathematics and Computation, 244, 952-958.
https://doi.org/10.1016/j.amc.2014.07.054
[3] Ao, J.J., Sun, J. and Zettl, A. (2015) Finite Spectrum of 2nth Order Boundary Value Problems. Applied Mathematics Letters, 42, 1-8.
https://doi.org/10.1016/j.aml.2014.10.003
[4] Wu, Y.Y. and Zhao, Z.Q. (2011) Positive Solutions for Third-Order Boundary Value Problems with Change of Signs. Applied Mathematics and Computation, 218, 2744-2749.
https://doi.org/10.1016/j.amc.2011.08.015
[5] Greenberg, M. (1987) Third Order Linear Differential Equations. REIDEL, Dordrecht.
[6] Kong, Q., Wu, H. and Zettl, A. (1999) Dependence of the nth Sturm-Liouville Eigenvalue on the Problem. Journal of Differential Equations, 156, 328-354.
https://doi.org/10.1006/jdeq.1998.3613
[7] Xu, M.Z., Wang, W.Y. and Ao, J.J. (2018) Finite Spectrum of Sturm-Liouville Problems with n Transmission Conditions. Iranian Mathematical Society, 42, 811-817.
https://doi.org/10.1007/s40995-016-0072-1
[8] Ao, J.J., Sun, J. and Zhang, M.Z. (2013) The Finite Spectrum of Sturm-Liouville Problems with Transmission Conditions and Eigenparameter-Dependent Boundary Conditions. Results in Mathematics, 63, 1057-1070.
https://doi.org/10.1007/s00025-012-0252-z
[9] Ao, J.J. (2017) On Two Classes of Third Order Boundary Value Problems with Finite Spectrum. Iranian Mathematical Society, 43, 1089-1099.
[10] Yang, C. and Sun, J. (2012) Existence of Multiple Positive Solutions for Fourth-Order Boundary Value Problems in Banach Spaces. Boundary Value Problems, 107, 1-13.
[11] Graef, J.R., Kong, L., Kong, Q. and Yang, B. (2011) Positive Solutions to a Fourth Order Boundary Value Problem. Results in Mathematics, 59, 141-155.
https://doi.org/10.1007/s00025-010-0068-7
[12] Atkinson, F.V. (1964) Discrete and Continuous Boundary Problems. Academic Press, New York, London.
https://doi.org/10.1063/1.3051875
[13] Chanane, B. (2010) Accurate Solutions of Fourth Order Sturm-Liouville Problems. Applied Mathematics and Computation, 234, 3064-3071.
https://doi.org/10.1016/j.cam.2010.04.023
[14] Zettl, A. (2005) Sturm-Liouvile Theory. In: Mathematical Surveys and Monographs, Volume 121, American Mathematical Society, Washington DC.
[15] Everitt, W.N. and Race, D. (1977) On Necessary and Sufficient Conditions for the Existence of Caratheodory Solutions of Ordinary Differential Equations. Quaestiones Mathematicae, 78, 507-512.
https://doi.org/10.1080/16073606.1978.9631549

为你推荐