Spectral expansion for impulsive dynamic Dirac system on the whole line

Key Points

• The central aim is to construct a spectral function for an impulsive dynamic Dirac system and derive a corresponding expansion formula.
• Analyzed the impulsive dynamic Dirac system on the whole line.
• Constructed a spectral function for the system.
• Established a Parseval equality related to the spectral function.
• Derived an expansion formula based on the spectral function.
• Demonstrated the applicability of Parseval equality in this context.