On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra

Jan Ligęza

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 89-103
  • ISSN: 0231-9721

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Ligęza, Jan. "On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 89-103. <http://eudml.org/doc/23722>.

@article{Ligęza2002,
author = {Ligęza, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {generalized ordinary differential equations; boundary value probelms; generalized functions; distributions; Comombeau algebra},
language = {eng},
number = {1},
pages = {89-103},
publisher = {Palacký University Olomouc},
title = {On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra},
url = {http://eudml.org/doc/23722},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Ligęza, Jan
TI - On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 89
EP - 103
LA - eng
KW - generalized ordinary differential equations; boundary value probelms; generalized functions; distributions; Comombeau algebra
UR - http://eudml.org/doc/23722
ER -

References

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  3. Colombeau J. F., Elementary Introduction to New Generalized Functions, North Holland, Amsterdam-New York-Oxford, 1985. (1985) Zbl0584.46024MR0808961
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  11. Ligęza J., Weak solution of ordinary differential equations, Prace Nauk. U. Sl. w Katowicach, vol. 842, 1986. (1986) MR0868863
  12. Ligęza J., On a two point boundary value problem for linear differential equations of the fourth order in the Colomeau algebra, Annal. Math. Silesianae 15 (2001), 45-66. MR1896013
  13. Ligęza J., Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra, Math. Bohemica 123 (1998), 301-316. (1998) MR1645454
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  18. Schwabik Š., Generalized Ordinary Differential Equations, World Sientific, Singapore, 1992. (1992) Zbl0781.34003MR1200241
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