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Linear differential equations and oscillators /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Linear differential equations and oscillators // Luis Manuel Braga da Campos.
作者:	Campos, Luis Manuel Braga da Costa,
面頁冊數:	1 online resource (pages cm.)
標題:	MEDICAL / General -
電子資源:	https://www.taylorfrancis.com/books/9780429028984
電子資源:	http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
ISBN:	9780429028984 (electronic bk)

Linear differential equations and oscillators /
Campos, Luis Manuel Braga da Costa,

Linear differential equations and oscillators /Luis Manuel Braga da Campos. - 1 online resource (pages cm.)

Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms

ISBN: 9780429028984 (electronic bk)Subjects--Topical Terms:

1235878
MEDICAL / General

LC Class. No.: TJ208 / .C36 2018

Dewey Class. No.: 621.8

Linear differential equations and oscillators /
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