Differential-Operator Equations: Ordinary and Partial Differential Equations: 103 (Monographs and Surveys in Pure and Applied Mathematics) - Hardcover

Yakubov, Yakov; Yakubov, Sasun

9781584881391: Differential-Operator Equations: Ordinary and Partial Differential Equations: 103 (Monographs and Surveys in Pure and Applied Mathematics)

Hardcover

ISBN 10: 1584881399 ISBN 13: 9781584881391

Publisher: Chapman and Hall/CRC, 1999

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The theory of differential-operator equations is one of two modern theories for the study of both ordinary and partial differential equations, with numerous applications in mechanics and theoretical physics. Although a number of published works address differential-operator equations of the first and second orders, to date none offer a treatment of the higher orders.

In Differential-Operator Equations, the authors present a systematic treatment of the theory of differential-operator equations of higher order, with applications to partial differential equations. They construct a theory that allows application to both regular and irregular differential problems. In particular, they study problems that cannot be solved by various known methods and irregular problems not addressed in existing monographs. These include Birkhoff-irregularity, non-local boundary value conditions, and non-smoothness of the boundary of the domains.

Among this volume's other points of interest are:

The Abel basis property of a system of root functions

Irregular boundary value problems

The theory of hyperbolic equations in Gevrey space

The theory of boundary value problems for elliptic differential equations with a parameter

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