A Leighton-Borůvka formula for Morse conjugate points

Heinrich W. Guggenheimer

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 4, page 189-193
  • ISSN: 0044-8753

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Guggenheimer, Heinrich W.. "A Leighton-Borůvka formula for Morse conjugate points." Archivum Mathematicum 021.4 (1985): 189-193. <http://eudml.org/doc/18169>.

@article{Guggenheimer1985,
author = {Guggenheimer, Heinrich W.},
journal = {Archivum Mathematicum},
keywords = {second order linear differential equation; conjugate point function; Leighton-Boruvka formula},
language = {eng},
number = {4},
pages = {189-193},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A Leighton-Borůvka formula for Morse conjugate points},
url = {http://eudml.org/doc/18169},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Guggenheimer, Heinrich W.
TI - A Leighton-Borůvka formula for Morse conjugate points
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 4
SP - 189
EP - 193
LA - eng
KW - second order linear differential equation; conjugate point function; Leighton-Boruvka formula
UR - http://eudml.org/doc/18169
ER -

References

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  1. O. Borůvka, Lineare Differentialtransformationen 2. Ordnung, VEB Deutsch. Verlag Wiss. Berlin 1967. (1967) MR0236448
  2. R. Freedman, Oscillation theory of systems of ordinary differential equations, Thesis, PINY 1979. (1979) 
  3. H. Guggenheimer, On focal points and limit behavior of solutions of differential equations, Arch. Math. (Brno) 14 (1978) 139-144. (1978) MR0508430
  4. 14] H. Guggenheimer, Geometric theory of differential equations, III. Second Order Equations of the Reals, Arch. rat. Mech. Anal. 41 (1971) 219-240. (1971) MR0357939
  5. H. Guggenheimer, Applicable Geometry, Krieger, Huntington NY 1977. (1977) Zbl0396.52001MR0442821
  6. W. Leighton, Principal quadratic functionals, TAMS 67 (1949) 253-274. (1949) Zbl0041.22404MR0034535
  7. A. C. Peterson, On the monotone nature of boundary value functions for n-th order differential equations, Canad. Math. Bull. 15 (1972) 253-258. (1972) Zbl0236.34019MR0310324
  8. W. T. Reid, Ordinary Differential Equations, Wiley NY 1971. (1971) Zbl0212.10901MR0273082

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