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On the boundedness of solutions of nonlinear differential and difference equations

On the boundedness of solutions of nonlinear differential and difference equations

as E_ I ZkI + I WkI -0, for fixed t. Systems of the form (1.1) are of considerable interest in dynamics, and play an important role in many branches of applied mathematics. Usually the right-hand side does not involve any derivatives. In dynamics, where t represents the time, a …