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Second order three boundary value problem in Banach spaces via Henstock and Henstock-Kurzweil-Pettis integral. (English) Zbl 1127.34033
The author investigates existence and some properties of solutions for a second order differential inclusion in Banach spaces. The results extend previous ones from the Bochner integrability or Pettis integrability setting to Henstock or Henstock-Kurzweil-Pettis integrability setting.
MSC:
34G25Evolution inclusions
28B20Set-valued set functions and measures; integration of set-valued functions; measurable selections
35B30Dependence of solutions of PDE on initial and boundary data, parameters