On nonlinear boundary value problem for systems of differential equations with impulses

Irena Rachůnková; Jan Tomeček

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

  • Volume: 41, Issue: 1, page 119-129
  • ISSN: 0231-9721

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Rachůnková, Irena, and Tomeček, Jan. "On nonlinear boundary value problem for systems of differential equations with impulses." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 119-129. <http://eudml.org/doc/23724>.

@article{Rachůnková2002,
author = {Rachůnková, Irena, Tomeček, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {first-order nonlinear ordinary systems of differential equations; lower and upper functions; nonlinear boundary value conditions; impulses},
language = {eng},
number = {1},
pages = {119-129},
publisher = {Palacký University Olomouc},
title = {On nonlinear boundary value problem for systems of differential equations with impulses},
url = {http://eudml.org/doc/23724},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Rachůnková, Irena
AU - Tomeček, Jan
TI - On nonlinear boundary value problem for systems of differential equations with impulses
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 119
EP - 129
LA - eng
KW - first-order nonlinear ordinary systems of differential equations; lower and upper functions; nonlinear boundary value conditions; impulses
UR - http://eudml.org/doc/23724
ER -

References

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  1. D. D. Bainov S. G. Hristova S. Hu, V. Lakshmikantham, Periodic boundary value problems for systems of first order impulsive differential equations, Differential and Integral Equations 2 (1989), 37-43. (1989) MR0960012
  2. A. Cabada E. Liz, Boundary value problems for higher order ordinary differential equations with impulses, Nonlinear Anal. 32 (1998), 775-786. (1998) MR1612138
  3. P. W. Eloe J. Henderson, A boundary value problem for a system of ordinary differential equations with impulse effects, Rocky Mountain J. Math. 27 (1997), 785-799. (1997) MR1490275
  4. V. Lakshmikantham D. D. Bainov, P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore 1989. (1989) MR1082551
  5. E. Liz, Existence and approximation of solutions for impulsive first order problems with nonlinear boundary conditions, Nonlin. Anal. TMA 25 (1995), 1191-1198. (1995) Zbl0844.34019MR1350739
  6. J. J. Nieto., Basic theory for nonresonance impulsive periodic problems of first order, J. Math. Anal. Appl. 205 (1997), 423-433. (1997) Zbl0870.34009MR1428357
  7. I. Rachůnková J. Tomeček, On nonlinear boundary value problems with impulses, Submitted. 

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