Existence and relaxation results for nonlinear second order evolution inclusions

Stanisław Migórski

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1995)

  • Volume: 15, Issue: 2, page 129-148
  • ISSN: 1509-9407

Abstract

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In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.

How to cite

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Stanisław Migórski. "Existence and relaxation results for nonlinear second order evolution inclusions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 15.2 (1995): 129-148. <http://eudml.org/doc/275936>.

@article{StanisławMigórski1995,
abstract = {In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.},
author = {Stanisław Migórski},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {differential inclusion; relaxation; multifunction; gelfand triple; compact embedding; evolution inclusion; existence; second order differential inclusion; convexified inclusion},
language = {eng},
number = {2},
pages = {129-148},
title = {Existence and relaxation results for nonlinear second order evolution inclusions},
url = {http://eudml.org/doc/275936},
volume = {15},
year = {1995},
}

TY - JOUR
AU - Stanisław Migórski
TI - Existence and relaxation results for nonlinear second order evolution inclusions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1995
VL - 15
IS - 2
SP - 129
EP - 148
AB - In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.
LA - eng
KW - differential inclusion; relaxation; multifunction; gelfand triple; compact embedding; evolution inclusion; existence; second order differential inclusion; convexified inclusion
UR - http://eudml.org/doc/275936
ER -

References

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