ASYMPTOTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING AND DELAY.

G. N. Bojadziev; R. W. Lardner

doi:10.1090/qam/447854

ASYMPTOTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING AND DELAY.

G. N. Bojadziev^*
, R. W. Lardner

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Certain hyperbolic partial differential equations with small nonlinearities involving significant damping as well as time delay are investigated. The Krylov-Bogoliubov-Mitropolskii method is extended and applied. An application is given to longitudinal vibrations of a nonlinear elastic rod.

Original language	English
Pages (from-to)	205-214
Number of pages	10
Journal	Quarterly of Applied Mathematics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1090/qam/447854
State	Published - 1975

ASJC Scopus subject areas

Applied Mathematics

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@article{e62ef008e95e44439d06459eb1b8eb55,

title = "ASYMPTOTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING AND DELAY.",

abstract = "Certain hyperbolic partial differential equations with small nonlinearities involving significant damping as well as time delay are investigated. The Krylov-Bogoliubov-Mitropolskii method is extended and applied. An application is given to longitudinal vibrations of a nonlinear elastic rod.",

author = "Bojadziev, \{G. N.\} and Lardner, \{R. W.\}",

year = "1975",

doi = "10.1090/qam/447854",

language = "English",

volume = "33",

pages = "205--214",

journal = "Quarterly of Applied Mathematics",

issn = "0033-569X",

publisher = "American Mathematical Society",

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T1 - ASYMPTOTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING AND DELAY.

AU - Bojadziev, G. N.

AU - Lardner, R. W.

PY - 1975

Y1 - 1975

N2 - Certain hyperbolic partial differential equations with small nonlinearities involving significant damping as well as time delay are investigated. The Krylov-Bogoliubov-Mitropolskii method is extended and applied. An application is given to longitudinal vibrations of a nonlinear elastic rod.

AB - Certain hyperbolic partial differential equations with small nonlinearities involving significant damping as well as time delay are investigated. The Krylov-Bogoliubov-Mitropolskii method is extended and applied. An application is given to longitudinal vibrations of a nonlinear elastic rod.

UR - https://www.scopus.com/pages/publications/0016559671

U2 - 10.1090/qam/447854

DO - 10.1090/qam/447854

M3 - Article

AN - SCOPUS:0016559671

SN - 0033-569X

VL - 33

SP - 205

EP - 214

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 3

ER -

ASYMPTOTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING AND DELAY.

Abstract

ASJC Scopus subject areas

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