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Basic Topological Structures of Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R2,860
Discovery Miles 28 600
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Basic Topological Structures of Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Mathematics and Its Applications, 432
Expected to ship within 10 - 15 working days
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Total price: R2,880
Discovery Miles: 28 800
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The aim of this book is a detailed study of topological effects
related to continuity of the dependence of solutions on initial
values and parameters. This allows us to develop cheaply a theory
which deals easily with equations having singularities and with
equations with multivalued right hand sides (differential
inclusions). An explicit description of corresponding topological
structures expands the theory in the case of equations with
continuous right hand sides also. In reality, this is a new science
where Ordinary Differential Equations, General Topology,
Integration theory and Functional Analysis meet. In what concerns
equations with discontinuities and differential inclu sions, we do
not restrict the consideration to the Cauchy problem, but we show
how to develop an advanced theory whose volume is commensurable
with the volume of the existing theory of Ordinary Differential
Equations. The level of the account rises in the book step by step
from second year student to working scientist."
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