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Applicable Analysis
An International Journal
Volume 1, 1971 - Issue 3
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Original Articles

Integral manifolds for perturbed nonlinear differential equations

N. C. Harbertson Department of Mathematics, N. Carolina State University, Raleigh, North Carolina
&
R. A. Struble Department of Mathematics, N. Carolina State University, Raleigh, North Carolina
Pages 241-278 | Published online: 10 May 2007

References

  • Bogoliubov , N. N. and Mitropolsky , Y. A. 1961 . Asymptotic Methods in the Theory of Nonlinear Oscillations , Delhi : Hindustan Publishing Corporation .
  • Hale , J. K. 1961 . Integral manifolds of perturbed differential systems . Ann. Math. , 73 : 496 – 531 .
  • Marlin , J. A. and Struble , R. A. 1969 . Asymptotic equivalence in nonlinear systems . J. Diff. Eqs , 6 : 578 – 596 .
  • Struble , R. A. 1970 . Topological Equivalence of Nonlinear Systems . J. Math. Anal. Appl , 31 : 196 – 205 .
  • May , L. E. 1970 . Perturbations in fully nonlinear systems . SIAMJ. of Math. Anal , 1 : 376 – 391 .
  • Brauer , F. 1966 . Perturbations of nonlinear systems of differential equations . I. J. Math. Anal. Appl , 14 : 198 – 206 .
  • Brauer , F. 1967 . Perturbations of nonlinear systems of differential equations . II. J. Math. Anal. Appl , 17 : 418 – 434 .
  • Alekseev , V. M. 1961 . An estimate for the perturbations of the solutions of ordinary differential equations . Vestn. Moskov Univ. Ser. I Mat. Meh , 2 : 28 – 36 .
  • Coppel , W. A. 1965 . Stability and Asymptotic Behavior of Differential Equations , Boston : Heath .
  • Kelly , A. 1967 . The stable, center-stable, center, center-unstable, unstable manifolds . J. Diff-Eqs , 3 : 546 – 570 .

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