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gptkbp:instance_of
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gptkb:Mathematician
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gptkbp:affiliation
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gptkb:Russian_Academy_of_Sciences
gptkb:Ukrainian_Academy_of_Sciences
Kharkiv National University
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gptkbp:alma_mater
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gptkb:Saint_Petersburg_State_University
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gptkbp:awards
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gptkb:Order_of_Lenin
gptkb:Order_of_the_Red_Banner_of_Labour
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gptkbp:birth_date
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1857-06-06
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gptkbp:birth_place
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gptkb:Yaroslavl,_Russia
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gptkbp:burial_place
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gptkb:Pohrebyshche_Cemetery
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gptkbp:contribution
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probability theory
stability theory
Lyapunov's central limit theorem
Lyapunov's theorem on stability
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gptkbp:death_date
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1918-11-03
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gptkbp:field
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gptkb:Mathematician
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gptkbp:field_of_study
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gptkb:physicist
mathematical physics
differential equations
functional analysis
applied mathematics
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https://www.w3.org/2000/01/rdf-schema#label
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Alexandre Lyapunov
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gptkbp:influenced
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gptkb:physicist
mathematical modeling
mathematical analysis
numerical analysis
control theory
chaos theory
stochastic processes
dynamical systems
systems theory
optimization theory
control engineering
dynamical systems theory
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gptkbp:influenced_by
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gptkb:David_Hilbert
gptkb:Carl_Friedrich_Gauss
gptkb:Henri_Poincaré
gptkb:Bernoulli
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gptkbp:known_for
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Lyapunov functions
Lyapunov stability
Lyapunov's direct method
Lyapunov's inequality
Lyapunov's second method
Lyapunov's theorem on the stability of motion
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gptkbp:nationality
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gptkb:Author
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gptkbp:notable_alumni
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gptkb:Andrey_Kolmogorov
gptkb:Nikolai_Bogolyubov
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gptkbp:occupation
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gptkb:University
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gptkbp:place_of_death
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Kharkiv, Ukraine
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gptkbp:work_location
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gptkb:Kharkiv_University
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gptkbp:bfsParent
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gptkb:Lyapunov_exponents
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gptkbp:bfsLayer
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5
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