Asymptotics of high-order ordinary differential equations

by R. B. Paris

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Published 1986 by Pitman Pub. in Boston .
Written in

Subjects:

• Differential equations -- Asymptotic theory.

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Edition Notes

Statement	R.B. Paris & A.D. Wood.
Contributions	Wood, A. D.
Classifications
LC Classifications	QA372 .P35 1985
The Physical Object
Pagination	344 p.
Number of Pages	344
ID Numbers
Open Library	OL16501024M
ISBN 10	0273085859
OCLC/WorldCa	156896342

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  Now we describe the difference between the asymptotics for the systems of second-order equations and the scalar higher-order differential equations. The unperturbed fundamental matrix for the second-order operators (even with the matrix-valued coefficients) have the entries by: 3. High-order topological asymptotic expansion We derive in this section a high-order terms in the topological asymptotic ex-pansion for the Stokes operator. The obtained results are an extension of the the topological derivative notion for the high-order case and are valid for all shape function jde ned by j(z;") = J "(u "); with J.

In mathematics, a nonlinear system of equations is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a . The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level. The proposed book has a very comprehensive coverage on partial differential equations in a variety of coordinate systems and geometry, and their solutions using the method of separation of variables. On Nonlocal Problems for Ordinary Differential Equations and on a Nonlocal Parabolic Transmission Problem , p. DONCHEV, Doncho S. Exact Solution of the Bellman Equation for a -Discounted Reward in a Two-Armed Bandit with Switching Arms , p.

The prerequisites are few (basic calculus, linear algebra, and ordinary and partial differential equations) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite . N. L. Abasheeva. Some inverse problems for parabolic and hyperbolic equations with a parameter. S. A. Abdymanapov, S. A. Altynbek. The Dirichlet problem for a model system of second order partial differential equations of Fuchs-type on a plane (in Russian). A. A. Abramov. Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, New York-Toronto-London, MR