Abstract
Spectrum and scattering function of the impulsive discrete Dirac systems
Highlights
Impulsive differential and discrete equations appear as natural descriptions of observed evolution phenomena of several real-world problems
For the general theory of impulsive differential equations, we refer to the monographs [1,2,8]
Impulsive Sturm–Liouville problems have been investigate in detail in [3,4,10,11,12,13,14,15,18,19,20,21,22]
Summary
Impulsive differential and discrete equations appear as natural descriptions of observed evolution phenomena of several real-world problems. Impulsive equations are called different kinds of names. Some of these names are equations with jump condition, equations with interface condition, and equations with transmission condition. We consider the impulsive boundary value problem generated by the system of difference equations. We study asymptotic properties of the Jost solution and Jost function of the impulsive boundary value problem (IBVP) (1.1)–(1.3).
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