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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Sturmian Theory for Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1980)
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Sturmian Theory for Ordinary Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1980)
Series: Applied Mathematical Sciences, 31
Expected to ship within 10 - 15 working days
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A major portion of the study of the qualitative nature of solutions
of differential equations may be traced to the famous 1836 paper of
Sturm [1), (here, as elsewhere throughout this manuscript, numbers
in square brackets refer to the bibliography at the end of this
volume), dealing with oscilla- tion and comparison theorems for
linear homogeneous second order ordinary differential equations.
The associated work of Liouville introduced a type of boundary
problem known as a "Sturm-Liouville problem", involving, in
particular, an introduction to the study of the asymptotic behavior
of solu- tions of linear second order differential equations by the
use of integral equations. In the quarter century following the
1891 Gottingen dissertation [1) of Maxime Bacher (1867-1918), he
was instru- mental in the elaboration and extension of the
oscillation, separation, and comparison theorems of Sturm, both in
his many papers on the subject and his lectures at the Sorbonne in
1913-1914, which were subsequently published as his famous Leaons
sur Zes methodes de Sturm [7).
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