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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Stability Theory by Liapunov's Direct Method (Paperback, Softcover reprint of the original 1st ed. 1977)
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Stability Theory by Liapunov's Direct Method (Paperback, Softcover reprint of the original 1st ed. 1977)
Series: Applied Mathematical Sciences, 22
Expected to ship within 10 - 15 working days
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This monograph is a collective work. The names appear ing on the
front cover are those of the people who worked on every chapter.
But the contributions of others were also very important: C. Risito
for Chapters I, II and IV, K. Peiffer for III, IV, VI, IX R. J.
Ballieu for I and IX, Dang Chau Phien for VI and IX, J. L. Corne
for VII and VIII. The idea of writing this book originated in a
seminar held at the University of Louvain during the academic year
1971-72. Two years later, a first draft was completed. However, it
was unsatisfactory mainly because it was ex ce~sively abstract and
lacked examples. It was then decided to write it again, taking
advantage of -some remarks of the students to whom it had been
partly addressed. The actual text is this second version. The
subject matter is stability theory in the general setting of
ordinary differential equations using what is known as Liapunov's
direct or second method. We concentrate our efforts on this method,
not because we underrate those which appear more powerful in some
circumstances, but because it is important enough, along with its
modern developments, to justify the writing of an up-to-date
monograph. Also excellent books exist concerning the other methods,
as for example R. Bellman [1953] and W. A. Coppel [1965].
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