Kostina, Ekaterina ; Kostyukova, Olga

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Abstract
Many problems in physics and mathematics may be reduced to solving equations depending on a parameter. The justi cation of the existence of solutions to the equations and the sensitivity analysis maybe conducted based on Implicit Function Theorem (IFT) under certain regularity assumptions. Provided the regularity assumptions do not hold, generalizations of IFT are needed in order to study solutions to the equations. The paper focuses on a particular generalization of IFT which is then applied to a parametric linear timeoptimal control problem.
Item Type:  Preprint 

Series Name:  IWRPreprints 
Date Deposited:  16 Feb 2005 13:55 
Date:  2005 
Faculties / Institutes:  Service facilities > Interdisciplinary Center for Scientific Computing 
Subjects:  510 Mathematics 
Controlled Keywords:  Satz ueber implizite Funktion, Bifurkationen, parametrische zeitoptimale Steuerungsprobleme, Parameterabhängigkeit 
Uncontrolled Keywords:  implicit function theorem , bifurcations , parametric timeoptimal control problems , dependence on parameter 