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MATHEMATICA BOHEMICA, Vol. 120, No. 4, pp. 337-345, 1995
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A principle of linearization in theory of stability

of solutions of variational inequalities

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Jiri Neustupa

* Jiri Neustupa*, Czech Technical University, Faculty of Mechanical Engineering, Department of Technical Mathematics, Karlovo nam. 13, 121 35 Praha 2, e-mail: ` neustupa@fsid.cvut.cz`

**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.

**Keywords:** stability, variational inequalities

**Classification (MSC91):** 34D05, 34G99, 58E35

**Full text of the article:**

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