A Note on Nonlocal Boundary Value Problems for Hyperbolic Schrödinger Equations

The nonlocal boundary value problem 𝑑2𝑢(𝑡)/𝑑𝑡2+𝐴𝑢(𝑡)=𝑓(𝑡)(0≤𝑡≤1), 𝑖(𝑑𝑢(𝑡)/𝑑𝑡)+𝐴𝑢(𝑡)=𝑔(𝑡)(−1≤𝑡≤0), 𝑢(0+)=𝑢(0−), 𝑢𝑡(0+)=𝑢𝑡(0−), 𝐴𝑢(−1)=𝛼𝑢(𝜇)+𝜑, 0<𝜇≤1, for hyperbolic Schrödinger equations in a Hilbert space 𝐻 with the self-adjoint positive definite operator 𝐴 is consid...

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Bibliographic Details
Main Authors: Yildirim Ozdemir, Mehmet Kucukunal
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/687321
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