On asymptotics of solutions for a class of functional differential inclusions

Sergei Kornev; Valeri Obukhovskii; Jen-Chih Yao

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2014)

  • Volume: 34, Issue: 2, page 219-227
  • ISSN: 1509-9407

Abstract

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We define a non-smooth guiding function for a functional differential inclusion and apply it to the study the asymptotic behavior of its solutions.

How to cite

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Sergei Kornev, Valeri Obukhovskii, and Jen-Chih Yao. "On asymptotics of solutions for a class of functional differential inclusions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 34.2 (2014): 219-227. <http://eudml.org/doc/270541>.

@article{SergeiKornev2014,
abstract = {We define a non-smooth guiding function for a functional differential inclusion and apply it to the study the asymptotic behavior of its solutions.},
author = {Sergei Kornev, Valeri Obukhovskii, Jen-Chih Yao},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {asymptotic behavior; functional differential inclusion; integral guiding function; non-smooth guiding function},
language = {eng},
number = {2},
pages = {219-227},
title = {On asymptotics of solutions for a class of functional differential inclusions},
url = {http://eudml.org/doc/270541},
volume = {34},
year = {2014},
}

TY - JOUR
AU - Sergei Kornev
AU - Valeri Obukhovskii
AU - Jen-Chih Yao
TI - On asymptotics of solutions for a class of functional differential inclusions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2014
VL - 34
IS - 2
SP - 219
EP - 227
AB - We define a non-smooth guiding function for a functional differential inclusion and apply it to the study the asymptotic behavior of its solutions.
LA - eng
KW - asymptotic behavior; functional differential inclusion; integral guiding function; non-smooth guiding function
UR - http://eudml.org/doc/270541
ER -

References

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  8. [8] F.H. Clarke, Optimization and Nonsmooth Analysis, Second edition, Classics in Applied Mathematics, 5, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1990. Zbl0696.49002
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  14. [14] S. Kornev and V. Obukhovskii, On some developments of the method of integral guiding functions, Functional Differ. Eq. 12 (3-4) (2005) 303-310. Zbl1081.34070
  15. [15] M.A. Krasnosel'skii, The Operator of Translation Along the Trajectories of Differential Equations, Translations of Mathematical Monographs, Vol. 19 (American Mathematical Society, Providence, R.I., 1968). 
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  17. [17] V.V. Obukhovskii, Semilinear functional-differential inclusions in a Banach space and controlled parabolic systems, Soviet J. Automat. Inform. Sci. 24 (3) (1991) 71-79 (1992); translated from Avtomatika 1991, no. 3, 73-81. 
  18. [18] V. Obukhovskii, P. Zecca, N.V. Loi and S. Kornev, Method of Guiding Functions in Problems of Nonlinear Analysis, Lecture Notes in Math. 2076 (Berlin, Springer, 2013). Zbl1282.34003

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