By Z. Deng, Z. Liang, G. Lu, S. Ruan
This paintings offers the complaints from the overseas convention on Differential Equations and keep an eye on conception, held lately in Wuhan, China. It presents an summary of present advancements in more than a few issues together with dynamical structures, optimum keep watch over idea, stochastic keep watch over, chaos, fractals, wavelets and traditional, partial, practical and stochastic differential equations.
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Extra resources for Differential Equations and Control Theory: Proceedings of the International Conference on Differential Equations and Control Theory, Wuhan, Peoples Republic of China
Motreanu University of Ia§i, Ia§i, Romania Nicolae H. Pavel Ohio University, Athens, Ohio Abstract The paper provides necessary conditions for the optimality of a pair (y,u~) with respect to a locally Lipschitz cost functional L(y,u~), subject to Ay = Cu + B(y, u). Here A and C are closed range, densely defined linear operators on some Banach spaces Y and X, while B is a (Gateaux) differentiable map on Y X X. This extends the result in , where the case B(y,u~) = B(u) — F(y), with B and F Frechet differentiable, was studied.
Acknowledgments: The work of S. Reich was partially supported by the Fund for the Promotion of Research at the Technion and by the Technion VPR Fund - E. and M. Mendelson Research Fund. S. T. A. Pinter, On a nonlinear beam equation, Applied Mathematics Letters, to appear.  H. T. Banks, D. S. Gilliam, and V. I. Shubov, Well-posedness for a one dimensional nonlinear beam, in Computation and Control, IV (Bozeman, MT, 1994), Progr. Systems Control Theory, vol. 20, (Birkhauser, 1995), pp. 1-21.  H.
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