Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions
We consider the operator 𝐿 generated in 𝐿2(ℝ+) by the differential expression 𝑙(𝑦)=−𝑦+𝑞(𝑥)𝑦, 𝑥∈ℝ+∶=[0,∞) and the boundary condition 𝑦(0)/𝑦(0)=𝛼0+𝛼1𝜆+𝛼2𝜆2, where 𝑞 is a complex-valued function and 𝛼𝑖∈ℂ, 𝑖=0,1,2 with 𝛼2≠0. In this paper we obtain the properties of the principal functions correspondi...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/358912 |