Second order nonlinear differential equations with linear impulse and periodic boundary conditions

Aydin Huseynov

Applications of Mathematics (2011)

  • Volume: 56, Issue: 6, page 591-606
  • ISSN: 0862-7940

Abstract

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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.

How to cite

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Huseynov, Aydin. "Second order nonlinear differential equations with linear impulse and periodic boundary conditions." Applications of Mathematics 56.6 (2011): 591-606. <http://eudml.org/doc/196881>.

@article{Huseynov2011,
abstract = {In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.},
author = {Huseynov, Aydin},
journal = {Applications of Mathematics},
keywords = {impulse conditions; periodic boundary conditions; Green's function; fixed point theorems; impulse conditions; periodic solution; Green's function; fixed point theorem},
language = {eng},
number = {6},
pages = {591-606},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Second order nonlinear differential equations with linear impulse and periodic boundary conditions},
url = {http://eudml.org/doc/196881},
volume = {56},
year = {2011},
}

TY - JOUR
AU - Huseynov, Aydin
TI - Second order nonlinear differential equations with linear impulse and periodic boundary conditions
JO - Applications of Mathematics
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 6
SP - 591
EP - 606
AB - In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
LA - eng
KW - impulse conditions; periodic boundary conditions; Green's function; fixed point theorems; impulse conditions; periodic solution; Green's function; fixed point theorem
UR - http://eudml.org/doc/196881
ER -

References

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