Impulsive periodic boundary value problem
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)
- Volume: 43, Issue: 1, page 33-53
- ISSN: 0231-9721
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Abstract
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topDraessler, Jan. "Impulsive periodic boundary value problem." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43.1 (2004): 33-53. <http://eudml.org/doc/32358>.
@article{Draessler2004,
abstract = {In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation $(I-F)u = 0$ on a certain set $\Omega $ that is established using properties of strict lower and upper functions of the boundary value problem.},
author = {Draessler, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Boundary value problem; topological degree; upper and lower functions; impulsive problem; periodic solution; differential equation; boundary value problems; topological degree; upper and lower},
language = {eng},
number = {1},
pages = {33-53},
publisher = {Palacký University Olomouc},
title = {Impulsive periodic boundary value problem},
url = {http://eudml.org/doc/32358},
volume = {43},
year = {2004},
}
TY - JOUR
AU - Draessler, Jan
TI - Impulsive periodic boundary value problem
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2004
PB - Palacký University Olomouc
VL - 43
IS - 1
SP - 33
EP - 53
AB - In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation $(I-F)u = 0$ on a certain set $\Omega $ that is established using properties of strict lower and upper functions of the boundary value problem.
LA - eng
KW - Boundary value problem; topological degree; upper and lower functions; impulsive problem; periodic solution; differential equation; boundary value problems; topological degree; upper and lower
UR - http://eudml.org/doc/32358
ER -
References
top- Rachůnková I., Tvrdý M., Impulsive periodic boundary value problem and topological degree, Functional Differential Equations 9, 3-4 (2002), 471–498. Zbl1048.34061MR1971622
- Rachůnková I., Tvrdý M., Periodic boundary value problem for nonlinear second order differential equations with impulses – part I, Preprint 148/2002 MÚAV ČR, Prague.
- Draessler J., Rachůnková I., On three solutions of the second order periodic boundary value problem, Nonlinear Oscillations 4 (2002), 471–486.
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