On existence of singular solutions of n -th order differential equations

Miroslav Bartušek

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 395-404
  • ISSN: 0044-8753

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Bartušek, Miroslav. "On existence of singular solutions of $n$-th order differential equations." Archivum Mathematicum 036.5 (2000): 395-404. <http://eudml.org/doc/248543>.

@article{Bartušek2000,
author = {Bartušek, Miroslav},
journal = {Archivum Mathematicum},
keywords = {singular solution; black hole solution},
language = {eng},
number = {5},
pages = {395-404},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On existence of singular solutions of $n$-th order differential equations},
url = {http://eudml.org/doc/248543},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Bartušek, Miroslav
TI - On existence of singular solutions of $n$-th order differential equations
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 395
EP - 404
LA - eng
KW - singular solution; black hole solution
UR - http://eudml.org/doc/248543
ER -

References

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  1. 1. I. V. Astashova, On Asymptotic Behaviour of Solutions of Some Nonlinear Differential Equations, Dokl. Raz. Zas. Sem. Ins. Prikl. Mat. Tbilisi University, 1 (1985), 9-11. (1985) 
  2. 2. T. A. Chanturia, On Singular Solutions of Nonlinear Systems of Ordinary Differential Equations, Coll. Math. Soc. J. Bolyai, In: “15. Diff. Equations” (1975), 107-119. (1975) MR0591720
  3. 3. T. A. Chanturia, On Existence of Singular and Unbounded Oscillatory Solutions of Differential Equations of Emden–Fowler Type, Dif. Urav. 28 (1992), 1009-1022. (1992) MR1198158
  4. 4. J. Jaroš T. Kusano, On Black Hole Solutions of Second Order Differential Equations with a Singularity in the Differential Operator, Funk. Ekv. (to appear). 
  5. 5. I. Kiguradze, Asymptotic Properties of Solutions of a Nonlinear Differential Equation of Emden–Fowler Type, Izvestiya Akad. Nauk SSSR. Ser. Mat. 29 (1965), 965–986. (1965) MR0190459
  6. 6. I. Kiguradze, On the Oscilation of Solutions of the Equation dm udtm + a(t) |u|n sgn u, Mat. Sbornik 65 (1964), 172–187. (1964) Zbl0135.14302MR0173060
  7. 7. I. Kiguradze, Some singular Boundary Value Problems for Ordinary Differential Equations, Tbilisi University Press, Tbilisi, (1975). (1975) MR0499402
  8. 8. I. Kiguradze G. Kvinikadze, On Strongly Increasing Solutions of Nonlinear Ordinary Differential Equations, Ann. Math. Pura ed Appl. 130 (1982), 67–87. (1982) MR0663965
  9. 9. I. Kiguradze T. A. Chanturia, Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Kluwer Acad. Pub., Dordrecht–Boston–London, (1993). (1993) MR1220223
  10. 10. D. Mirzov, Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations, Adygea, Majkop, (1993). (1993) 

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