Cernea, Aurelian A Filippov type existence theorem for infinite horizon operational differential inclusions. (English) Zbl 1026.34070 Stud. Cercet. Mat. 50, No. 1-2, 15-22 (1998). Summary: We prove a Filippov-type existence theorem for mild solutions to infinite horizon semilinear differential inclusions in infinite-dimensional spaces by using an appropriate norm on the space of selections of the multifunctions and a contraction principle for set-valued mappings. Cited in 1 Document MSC: 34G25 Evolution inclusions 34A60 Ordinary differential inclusions Keywords:mild solutions to infinite horizon semilinear differential inclusions; multifunctions PDF BibTeX XML Cite \textit{A. Cernea}, Stud. Cercet. Mat. 50, No. 1--2, 15--22 (1998; Zbl 1026.34070) OpenURL