| Spectrum and Spectral Singularities of a Quadratic Pencil of a Schr?dinger Operator with Boundary Conditions Dependent on the Eigenparameter |
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| 作者姓名： | Xiang ZHU Zhao Wen ZHENG Kun LI |
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| 作者单位： | 1. School of Mathematical Sciences, Qufu Normal University;2. College of Mathematics and Systems Science, Guangdong Polytechnic Normal University |
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| 基金项目： | Supported by the NSF of Shandong Province (Grant Nos. ZR2023MA023, ZR2020QA009, ZR2020QA010);;the NNSF of China (Grant No. 61973183); |
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| 摘 要： | In this paper, we consider the following quadratic pencil of Schr?dinger operators L(λ)generated in L2(R+) by the equation ■ with the boundary condition ■ where p(x) and q(x) are complex valued functions and α0, α1, β0, β1 are complex numbers with α0β1-α1β0≠0. It is proved that L(λ) has a finite number of eigenvalues and spectral singularities,and each of them is of a finite multiplicity...
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