Books in Theory and mathematics

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Differential and Integral Inequalities: Theory and Applications

1st Edition
Volume 55A
January 1, 1969
V. Lakshmikantham + 1 more
English
eBook
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This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.

Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations

1st Edition
Volume 55B
January 1, 1969
Lakshmikantham
English
eBook
9 7 8 - 0 - 0 8 - 0 9 5 5 6 4 - 3

The Special Functions and Their Approximations

1st Edition
Volume 53A
January 1, 1969
Yudell L. Luke
English
eBook
9 7 8 - 0 - 0 8 - 0 9 5 5 6 0 - 5

A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.