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- W2018505835 abstract "will be considered with f(t, x) continuous on IXRn (I= {t: 0 0 and a ,B >0 such that if I xol to? Although this is a relatively weak property for the solutions of (1) to possess (when compared with the above stability concepts), in certain instances it is quite useful. The definitions used in this article will now be given. DEFINITION 1. Equation (1) will be called weakly bounded if for each to in I there exists an a =a(to) >0 and a ,3 = 3(to) > 0, a _ 3, such that whenever I xoI to. If, in addition, a and ,3 are constants (i.e. independent of to) then (1) will be called uniformly weakly bounded. DEFINITION 2. Equation (1) will be called weakly contractive if there" @default.
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- W2018505835 date "1968-05-01" @default.
- W2018505835 modified "2023-09-24" @default.
- W2018505835 title "Weakly bounded systems of differential equations" @default.
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- W2018505835 doi "https://doi.org/10.1090/s0002-9939-1968-0230992-7" @default.
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