# A principle of linearization in theory of stability of solutions of variational inequalities

Mathematica Bohemica (1995)

- Volume: 120, Issue: 4, page 337-345
- ISSN: 0862-7959

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topNeustupa, Jiří. "A principle of linearization in theory of stability of solutions of variational inequalities." Mathematica Bohemica 120.4 (1995): 337-345. <http://eudml.org/doc/247780>.

@article{Neustupa1995,

abstract = {It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.},

author = {Neustupa, Jiří},

journal = {Mathematica Bohemica},

keywords = {linearization; stability; variational inequality; linearization; stability; variational inequality},

language = {eng},

number = {4},

pages = {337-345},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A principle of linearization in theory of stability of solutions of variational inequalities},

url = {http://eudml.org/doc/247780},

volume = {120},

year = {1995},

}

TY - JOUR

AU - Neustupa, Jiří

TI - A principle of linearization in theory of stability of solutions of variational inequalities

JO - Mathematica Bohemica

PY - 1995

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 120

IS - 4

SP - 337

EP - 345

AB - It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.

LA - eng

KW - linearization; stability; variational inequality; linearization; stability; variational inequality

UR - http://eudml.org/doc/247780

ER -

## References

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- J. Neustupa, The linearized uniform asymptotic stability of evolution differential equations, Czech. Math. J. 34 (109) (1984), 257-284. (1984) Zbl0599.34081MR0743491
- M. Kučera J. Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems, Commentationes Math. Univ. Carolinae 27 (1986), no. 1, 171-187. (1986) MR0843429
- P. Quittner, 10.1007/BF01446434, Math. Ann. vol 283 (1989), 257-270. (1989) MR0980597DOI10.1007/BF01446434

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