On the existence of a bounded and periodic solution of the nonlinearized Jacobi equation with negative definite support

Ján Andres; Jindřich Palát

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1987)

  • Volume: 26, Issue: 1, page 85-93
  • ISSN: 0231-9721

How to cite

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Andres, Ján, and Palát, Jindřich. "Über die Existenz einer begrenzten und periodischen Lösung der nichtlinealisierten Jacobischen Gleichung mit negativ definitivem Träger." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 26.1 (1987): 85-93. <http://eudml.org/doc/23465>.

@article{Andres1987,
author = {Andres, Ján, Palát, Jindřich},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Jacobi equation; bounded solution},
language = {ger},
number = {1},
pages = {85-93},
publisher = {Palacký University Olomouc},
title = {Über die Existenz einer begrenzten und periodischen Lösung der nichtlinealisierten Jacobischen Gleichung mit negativ definitivem Träger},
url = {http://eudml.org/doc/23465},
volume = {26},
year = {1987},
}

TY - JOUR
AU - Andres, Ján
AU - Palát, Jindřich
TI - Über die Existenz einer begrenzten und periodischen Lösung der nichtlinealisierten Jacobischen Gleichung mit negativ definitivem Träger
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1987
PB - Palacký University Olomouc
VL - 26
IS - 1
SP - 85
EP - 93
LA - ger
KW - Jacobi equation; bounded solution
UR - http://eudml.org/doc/23465
ER -

References

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  1. Cesari L., Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer, Berlin-Heidelberg-New York, 1971. (1971) Zbl0215.13802MR0350089
  2. Yamamoto M., Sakata S., On the boundedness of solutions and the attractivity properties for nonlinear second-order differential equations, Mat. Japonica 27, 2 (1982) 231-251. (1982) Zbl0503.34024MR0655227
  3. Massera J. L., The existence of periodic solutions of systems of differential equations, Duke Math. J. 17 (1950), 83-97. (1950) Zbl0038.25002MR0040512
  4. Ráb M., Bounds for solutions of the equations [ p ( t ) x ' ] ' + q ( t ) x = h ( t , x , x ' ) , Arch. Math. 2, 11 (1975), 79-84. (1975) MR0412520
  5. Andres J., A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties, Acta UPO 25, 85 (1986), 157-164. (1986) Zbl0641.34036MR0918373
  6. Hille E., On the Landau-Kallman-Rota inequality, J. Approx. Theory 6 (1972), 117-122. (1972) Zbl0238.47007MR0343095

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