Solution Stability and Path-Following for a Class of Generalized Equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43951492" target="_blank" >RIV/49777513:23520/18:43951492 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/978-3-319-75169-6_4" target="_blank" >https://doi.org/10.1007/978-3-319-75169-6_4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-75169-6_4" target="_blank" >10.1007/978-3-319-75169-6_4</a>

Result language

angličtina

Original language name

Solution Stability and Path-Following for a Class of Generalized Equations

Original language description

We study strong metric (sub)regularity of a special non-monotone generalized equation with either smooth or locally Lipschitz single-valued part. The existence of a Lipschitz selection of a solution mapping associated with a parametric generalized equation is proved. An inexact Euler-Newton continuation method for tracking a solution trajectory is introduced. The theoretical results are applied in the study of non-regular electrical circuits involving devices like diodes and transistors.

Czech name

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Czech description

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Type

C - Chapter in a specialist book

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name

Control Systems and Mathematical Methods in Economics

ISBN

978-3-319-75168-9

Number of pages of the result

24

Pages from-to

57-80

Number of pages of the book

439

Publisher name

Springer International Publishing AG

Place of publication

Switzerland

UT code for WoS chapter

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