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The main aim of this work is to investigate the properties of scattering solutions and the scattering function of an impulsive Sturm–Liouville boundary value problem (ISBVP). It is important that… Click to show full abstract
The main aim of this work is to investigate the properties of scattering solutions and the scattering function of an impulsive Sturm–Liouville boundary value problem (ISBVP). It is important that the boundary condition depend on an eigenvalue parameter. After getting the Jost solution of this ISBVP, we find the scattering function and resolvent operator. Also, we discuss the discrete spectrum of this boundary value problem in detail. Finally, we present examples on an unperturbated ISBVPs to demonstrate the application of our results.
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
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