Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations

M. E. Lord

Rendiconti del Seminario Matematico della Università di Padova (1982)

  • Volume: 67, page 1-11
  • ISSN: 0041-8994

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Lord, M. E.. "Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations." Rendiconti del Seminario Matematico della Università di Padova 67 (1982): 1-11. <http://eudml.org/doc/107859>.

@article{Lord1982,
author = {Lord, M. E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {asymptotic equivalence; perturbations; nonlinear variation of constants formula; vector differential equations},
language = {eng},
pages = {1-11},
publisher = {Seminario Matematico of the University of Padua},
title = {Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations},
url = {http://eudml.org/doc/107859},
volume = {67},
year = {1982},
}

TY - JOUR
AU - Lord, M. E.
TI - Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1982
PB - Seminario Matematico of the University of Padua
VL - 67
SP - 1
EP - 11
LA - eng
KW - asymptotic equivalence; perturbations; nonlinear variation of constants formula; vector differential equations
UR - http://eudml.org/doc/107859
ER -

References

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  1. [1] V.M. Alekseev, An estimate for perturbations of the solutions of ordinary differential equations, Vestnik Moscov Univ. Ser.1, Math. Mek., No. 2 (1961), pp. 28-36. MR125293
  2. [2] F. Brauer, Perturbations of nonlinear systems of differential equations, J. Math. Anal. Appl., 14 (1966), pp. 198-206. Zbl0156.09805MR192132
  3. [3] F. Brauer, Perturbations of nonlinear systems of differential equations, II, J. Math. Anal. Appl., 17 (1967), pp. 418-434. Zbl0238.34083MR203181
  4. [4] F. Brauer, Some Stability and Perturbation Problems for Differential and Integral Equations, Instituto de Matematica Pura e Applicada, Monografias de Matematica, No. 25, Rio de Janeigo, 1976. 
  5. [5] V. Lakshmikantham - S. Leela, Differential and Integral Inequalities, Academic Press, New York, 1969. Zbl0177.12403
  6. [6] M. Lord - A.R. Mitchell, A new approach to the method of nonlinear variation of constants, Appl. Math. and Comp., 4 (1978), pp. 95-105. Zbl0375.34033MR477238
  7. [7] M. Lord - S. Bernfeld, A nonlinear variation of constants method for integro-differential and integral equations, Appl. Math. and Comp., 4 (1978), pp. 1-14. Zbl0374.45008MR467207
  8. [8] M. Lord, The method of nonlinear variation of constants for difference equations, J. Inst. Math. Appl., 23 (1979), pp. 285-290. Zbl0397.39007MR533226
  9. [9] J. Martin - R. STRUBLE, Asymptotic equivalence of nonlinear systems, J. Diff. Eq., 6 (1969), pp. 578-596. Zbl0218.34036MR252768

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