Delay effects on the existence problems for differential equations in Banach space

Ambrosetti, 1967, Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, 39, 349 A. Cellina, On the nonexistence of solutions of differential equations in non-reflexive spaces, Bull. Amer. Math. Soc.78, No. 6, 1069–1072. Dieudonné, 1950, Duex examples singuliers d'équations différentielles, Acta Sci. Math. (Szeged), 12, 38 Godunov, 1975, O tieoremie Peano w Banachowych prostranstwach, Funkcional. Anal. i Priložen., 9, 59 Goebel, 1970 Goebel, 1970, An existence theorem for the equations x′ = ƒ(t, x) in Banach space, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys., 18, 367 Goltzer, 1976, On the existence and the uniqueness of the solutions of the differential equations with a delay in Banach spaces, Differencial'nye Uravnenija, 12, 1404 Kuratowski, 1958, Topologie, Vol. II Olech, 1960, On the existence and uniqueness of solutions of an ordinary differential equation in the case of Banach space, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys., 8, 667 Szufla, 1971, Measure of noncompactness and ordinary differential equations in Banach spaces, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys., 18, 831 Yorke, 1970, A continuous differential equation in Hilbert space without existence, Funkcial Ekvac., 13, 19