On a certain nonlinear problem for two-dimensional differential systems

Ivan Kiguradze; Irena Rachůnková

Archivum Mathematicum (1980)

  • Volume: 016, Issue: 1, page 15-37
  • ISSN: 0044-8753

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Kiguradze, Ivan, and Rachůnková, Irena. "On a certain nonlinear problem for two-dimensional differential systems." Archivum Mathematicum 016.1 (1980): 15-37. <http://eudml.org/doc/18016>.

@article{Kiguradze1980,
author = {Kiguradze, Ivan, Rachůnková, Irena},
journal = {Archivum Mathematicum},
keywords = {two-dimensional nonlinear differential systems; distribution of electrons in heavy atom; population problems},
language = {eng},
number = {1},
pages = {15-37},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a certain nonlinear problem for two-dimensional differential systems},
url = {http://eudml.org/doc/18016},
volume = {016},
year = {1980},
}

TY - JOUR
AU - Kiguradze, Ivan
AU - Rachůnková, Irena
TI - On a certain nonlinear problem for two-dimensional differential systems
JO - Archivum Mathematicum
PY - 1980
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 016
IS - 1
SP - 15
EP - 37
LA - eng
KW - two-dimensional nonlinear differential systems; distribution of electrons in heavy atom; population problems
UR - http://eudml.org/doc/18016
ER -

References

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  1. Kneser A., Untersuchung and asymptotische Darstellung der Integrale gewisser Differentialgleichungen bei grossen reellen Werthen des Arguments, I, Journ. für die reine und angew. Math., 1896,116,178-212. 
  2. Fermi E., Un metodo statistico per la determinazione di alcune proprieta dell' atomo, Rend. R. Acc. Naz. dei Lincei, 1927, 6, 602-607. (1927) 
  3. Thomas L. H., The calculation of atomic fields, Proc. of the Cambridge Phil. Soc., 1927, 23, 542-548. (1927) 
  4. Mambriani A., Su un teorema relativo alle equazioni differenziali ordinarie del 2° ordine, Rend. R. Acc. Naz. dei Lincei, 1929, 9, 620-622. (1929) 
  5. Сансоне Дж., Обыкновенные дифференциальные уравнения, т. II, Mocквa, ИЛ, 1954. (1954) Zbl0082.37202
  6. Hartman P., Wintner A., On the non-increasing solutions of y " = f ( x , y , y ' ) , Amer. Journ. of Math., 1951, 73, No 2, 390-404. (1951) MR0042004
  7. Hartman P., Wintner A., On monotone solutions of systems of non-linear differential equations, Amer. Journ. of Math., 1954, 76, No 4, 860-866. (1954) Zbl0056.08403MR0064223
  8. Coffman C. V., Non-linear differential equations on cones in Banach spaces, Pacific Jouгn. Math., 1964, 14, Jè 1, 9-16. (1964) MR0163193
  9. Xapтмaн Ф., Oбыкнoвeнныe дuффepeнцuaлъныe ypaeнeнuя, Mocквa, „Mиp, 1970. (1970) 
  10. Kiguгadze I. T., On the non-negative non-increasing solutions of non-linear second order differential equations, Ann. di Mat. pura ed appl., 1969, 81, No 4, 169-192. (1969) 
  11. Чaнтypия T. A., O зaдaчe muna Kнeзepa для cucmeмы oбыкнoвeнныx дuффepeнцuaлъныx ypaвнeнuй, Maтeм. зaмeтки, 1974, 15, M 6, 897-906. (1974) 

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