A nonlinear scattering problem

Jack Narayan; Gilbert Stengle

Annales de l'I.H.P. Analyse non linéaire (1986)

  • Volume: 3, Issue: 1, page 1-53
  • ISSN: 0294-1449

How to cite

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Narayan, Jack, and Stengle, Gilbert. "A nonlinear scattering problem." Annales de l'I.H.P. Analyse non linéaire 3.1 (1986): 1-53. <http://eudml.org/doc/78106>.

@article{Narayan1986,
author = {Narayan, Jack, Stengle, Gilbert},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {first order differential equation; propagation of solutions; global solution; scattering function; Kolmogorov-Arnold-Moser method; Moser- Jacobowitz approximation method},
language = {eng},
number = {1},
pages = {1-53},
publisher = {Gauthier-Villars},
title = {A nonlinear scattering problem},
url = {http://eudml.org/doc/78106},
volume = {3},
year = {1986},
}

TY - JOUR
AU - Narayan, Jack
AU - Stengle, Gilbert
TI - A nonlinear scattering problem
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1986
PB - Gauthier-Villars
VL - 3
IS - 1
SP - 1
EP - 53
LA - eng
KW - first order differential equation; propagation of solutions; global solution; scattering function; Kolmogorov-Arnold-Moser method; Moser- Jacobowitz approximation method
UR - http://eudml.org/doc/78106
ER -

References

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  1. [1] P. Hartman, Ordinary Differential Equations. Wiley, New York, 1964. Zbl0125.32102MR171038
  2. [2] W. Wasow, Asymptotic Expansions for Ordinary Differential Equations. Interscience, New York, 1965. Zbl0133.35301MR203188
  3. [3] A.D. Brjuno, Analytical Form of Differential Equations. Trans. Moscow Math. Soc., t. 25, 1971. Amer. Math. Soc., Providence, 1973, p. 131-283. Zbl0272.34018MR377192
  4. [4] S. Sternberg, Lectures on Celestial Mechanics, Part II. Benjamin, New York, 1970. Zbl0194.56702
  5. [5] H. Jacobowitz, Implicit function theorems and isometric imbeddings. Ann. of Math., t. 95, no. 2, 1972, p. 191-225. Zbl0214.12904MR307127
  6. [6] G. Stengle, Asymptotic estimates for the adiabatic invariance of a simple oscillator. SIAM Journal on Math. Anal., t. 8, 1972, p. 7. Zbl0355.34046MR454216
  7. [7] J. Stoer and C. Witzgall, Convexity and Optimization in Finite Dimensions, I, Springer, New York, 1970. Zbl0203.52203MR286498
  8. [8] T. Carleman, Les fonctions quasi-analytiques, Gauthier-Villars, Paris, 1926. JFM52.0255.02

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