On qualitative properties of fractional-difference equations on abstract spaces and their applications to lattices models.

• Autores: Claudio Andres Leal Jara
• Directores de la Tesis: Carlos Lizama Yáñez (dir. tes.), Marina Murillo Arcila (codir. tes.)
• Lectura: En la Universidad de Santiago de Chile (USACH) ( Chile ) en 2018
• Idioma: inglés
• Enlaces
  • Tesis en acceso abierto en: www.doctmat.dmcc.usach.cl (pdf)
• Resumen

  • In this thesis we study the existence, uniqueness, qualitative properties and regularity of solutions for different classes of discrete-time fractional difference equations in abstract spaces using an effective technique based in an operator-theoretical method. In addition we present explicit examples of equations that can be considered in our abstract results