Stabilities in FDEs by Schauderʹs theorem Original Research Article

In a series of papers (Burton and Furumochi (Dyn. Syst. Appl. 10 (2001) 89–116; Funkcial. Ekvac. 44 (2001) 71–82; Nonlinear Anal. 49 (2002) 445–454; Dyn. Syst. Appl. 11 (2002) 499–521; Nonlinear Stud., to appear), Burton (Nonlinear Stud. 9 (2002) 181–190) Furumochi (Qualitative Theor. Differential Equations, to appear)), stability properties of solutions of FDEs have been investigated by means of fixed point theory. Here we obtain new stability results for super-linear FDEs by using Schauderʹs first theorem and a weighted norm, and show some examples.