Sinossi
This is an elementary text - requiring a minimum of knowledge in the field - about very classical function analysis, combined with results of differential equations in Hilbert or Banach spaces. The author presents results from abstract Cauchy problems - in implicit or explicit form - and related semigroups of operators, weak and ultraweak solutions, the uniqueness of bounded ultra solutions. He also offers some results about almost-periodic solution, and an asymptotic result for a differential inequality in ultra-weak form.
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