Boundedness and periodicity of Fifth Order non-Linear Differential Equations
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
We study the asymptotic behavior of solutions to a nonlinear differential equation of the second order whose coefficient of nonlinearity is a bounded function for arbitrarily large values of in . We obtain certain sufficient conditions which guarantee boundedness of solutions, their convergence to zero as and their unboundedness.
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