2017
Том 69
№ 7

All Issues

Approximate stabilization for a nonlinear parabolic boundary-value problem

Kapustyan O. A., Kapustyan O. V., Sukretna A. V.

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Abstract

For a problem of optimal stabilization of solutions of a nonlinear parabolic boundary-value problem with small parameter of a nonlinear summand, we justify the form of approximate regulator on the basis of the formula of optimal synthesis of the corresponding linear quadratic problem.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 5, pp 759-767.

Citation Example: Kapustyan O. A., Kapustyan O. V., Sukretna A. V. Approximate stabilization for a nonlinear parabolic boundary-value problem // Ukr. Mat. Zh. - 2011. - 63, № 5. - pp. 654-661.

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