TY - JOUR
T1 - Floquet theory and stability of nonlinear integro-differential equations
AU - Agarwal, Ravi
AU - Bohner, Martin
AU - Domoshnitsky, Alexander
AU - Goltser, Yakov
N1 - Funding Information:
∗This research was supported by the program KAMEA (Ministry of Absorption, State of Israel). Key words and phrases: integro-differential equations, reduction method, Floquet representations, exponential stability, distance between zeros. 2000 Mathematics Subject Classification: 34D05, 47G20.
PY - 2005
Y1 - 2005
N2 - One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.
AB - One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.
KW - Distance between zeros
KW - Exponential stability
KW - Floquet representations
KW - Intego-differential equations
KW - Reduction method
UR - https://www.scopus.com/pages/publications/33645115977
U2 - 10.1007/s10474-005-0250-7
DO - 10.1007/s10474-005-0250-7
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:33645115977
SN - 0236-5294
VL - 109
SP - 305
EP - 330
JO - Acta Mathematica Hungarica
JF - Acta Mathematica Hungarica
IS - 4
ER -