A classical approach to eigenvalue problems associated with apair of mixed regular Sturm-Liouville equations II

M.Venkatesulu; Pallav KumarBaruah

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A classical approach to eigenvalue problems associated with apair of mixed regular Sturm-Liouville equations II

机译：与一对混合的常规Sturm-Liouville方程有关的特征值问题的经典方法II

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In the studies of acoustic waveguides in ocean, buckling of columns with variablecross sections in applied elasticity, transverse vibrations in nonhomogeneousstrings, etc., we encounter a new class of problems of the typeL1y1≡?y1′?′+q1(x)y1=λy1defined on an interval[d1,d2]andL2y2≡?y2′?′+q2(x)y2=λy2defined on the interval[d2,d3]satisfying certainmatching conditions at the interface pointx=d2.Earlier, in Part I, we constructed a fundamental system for(L1,L2)and derived certain estimates for the same.Here, in Part II, we consider four types of boundary value problems associated with(L1,L2)and study the corresponding spectra.

机译：在海洋声波导管的研究中，应用弹性中具有可变截面的柱的屈曲，非均质弦中的横向振动等，我们遇到了新的一类L1y1≡？y1'？'+ q1（x）y1 =在间隔[d1，d2]上定义的λy1和L2y2≡？y2'？'+ q2（x）y2 =在间隔[d2，d3]上定义的λy2满足接口点x = d2上的某些匹配条件。早些时候，我们在第一部分中构造了在这里，在第二部分中，我们考虑了与（L1，L2）相关的四种类型的边值问题，并研究了相应的光谱。

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《International journal of stochastic analysis》 |2002年第2期|共7页
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M.Venkatesulu; Pallav KumarBaruah;
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1. A classical approach to eigenvalue problems associated with a pair of mixed regular Sturm-Liouville equations I [J] . M.Venkatesulu, Pallav KumarBaruah International journal of stochastic analysis . 2001,第2期

机译：与一对混合正则Sturm-Liouville方程I相关的特征值问题的经典方法
2. A classical approach to eigenvalue problems associated with a pair of mixed regular Sturm-Liouville equations I [J] . M.Venkatesulu, Pallav KumarBaruah International journal of stochastic analysis . 2000,第3期

机译：与一对混合正则Sturm-Liouville方程I相关的特征值问题的经典方法
3. A generic approach for the solution of nonlinear residual equations. Part II: Homotopy and complex nonlinear eigenvalue method [J] . Massamaesso Bilasse, Isabelle Charpentier, El Mostafa Daya, Computer Methods in Applied Mechanics and Engineering . 2009,第49a52期

机译：求解非线性残差方程的通用方法。第二部分：同伦和复杂的非线性特征值方法
4. BARSIC SLEIGN2 software for computation of regular and singular Sturm-Liouville problem eigenvalues and eigenfunctions [C] . L. A. Evstigneev, V. V. Monakhov, I. B. Kernickij, International Seminar Day on Diffraction . 2004

机译：律师Sleign2软件，用于计算常规和单数Sturm-Liouville问题特征值和特征功能
5. Inverse eigenvalue problems for Sturm-Liouville differential equations. [D] . Ananda, Samandra Marakkala Ranjith. 1991

机译：Sturm-Liouville微分方程的特征值反问题。
6. Note on the Sturm-Liouville Eigenvalue-Eigenfunction Problem with Singular End-Points [O] . Edwin C. Kemble 1933

机译：关于具有奇异端点的Sturm-Liouville特征值-特征函数问题的注释
7. A classical approach to eigenvalue problems associated with a pair of mixed regular Sturm-Liouville equations II [O] . M. Venkatesulu, Pallav Kumar Baruah 2002

机译：与一对混合正则Sturm-Liouville方程有关的特征值问题的经典方法II

A classical approach to eigenvalue problems associated with apair of mixed regular Sturm-Liouville equations II

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