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Displaying 1061 –
1080 of
1670
In this work we study the optimal control problem for a class of nonlinear time-delay
systems via paratingent equation with delayed argument. We use an equivalence theorem
between solutions of differential inclusions with time-delay and solutions of paratingent
equations with delayed argument. We study the problem of optimal control which minimizes a
certain cost function. To show the existence of optimal control, we use the main
topological properties...
In this paper we have considered completely the equation
where , , and such that , and . It has been shown that the set of all oscillatory solutions of (*) forms a two-dimensional subspace of the solution space of (*) provided that (*) has an oscillatory solution. This answers a question raised by S. Ahmad and A. C. Lazer earlier.
In this paper we consider the third-order nonlinear delay differential equation (*)
where , are positive functions, is a quotient of odd positive integers and the delay function satisfies . We establish some sufficient conditions which ensure that (*) is oscillatory or the solutions converge to zero. Our results in the nondelay case extend and improve some known results and in the delay case the results can be applied to new classes of equations which are not covered by the known criteria....
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