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- W1983811931 abstract "Supremum and L 2 -norms estimates of the solutions of nonlinear vector Volterra–Stieltjes equations in the complex Euclidean space [Formula: see text] are derived using recently established estimates for the norm of vector-valued functions and the resolvents of quasi–nilpotent operators. Such equations include both continuous time Volterra integral equations and discrete time Volterra difference equations as well as mixtures of these two basic types of time scales. The estimates are formulated in terms of the coefficients of the equations, which are separated into a linear part and a nonlinear part satisfying a local Lipschitz condition. Stability conditions are then derived from these estimates." @default.
- W1983811931 created "2016-06-24" @default.
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- W1983811931 date "2003-04-01" @default.
- W1983811931 modified "2023-09-23" @default.
- W1983811931 title "SOLUTION ESTIMATES OF NONLINEAR VECTOR VOLTERRA–STIELTJES EQUATIONS" @default.
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- W1983811931 doi "https://doi.org/10.1142/s0219530503000144" @default.
- W1983811931 hasPublicationYear "2003" @default.
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