TY - JOUR
T1 - Stability results for nonlinear functional differential equations using fixed point methods
AU - Chen, Guiling
AU - Li, Dingshi
AU - van Gaans, Onno
AU - Verduyn Lunel, Sjoerd
PY - 2018/4/1
Y1 - 2018/4/1
N2 - We present new conditions for stability of the zero solution for three distinct classes of scalar nonlinear delay differential equations. Our approach is based on fixed point methods and has the advantage that our conditions neither require boundedness of delays nor fixed sign conditions on the coefficient functions. Our work extends and improves a number of recent stability results for nonlinear functional differential equations in a unified framework. A number of examples are given to illustrate our main results.
AB - We present new conditions for stability of the zero solution for three distinct classes of scalar nonlinear delay differential equations. Our approach is based on fixed point methods and has the advantage that our conditions neither require boundedness of delays nor fixed sign conditions on the coefficient functions. Our work extends and improves a number of recent stability results for nonlinear functional differential equations in a unified framework. A number of examples are given to illustrate our main results.
KW - (neutral) integro-differential equation
KW - Asymptotic stability
KW - Contraction mapping principle
KW - Fixed point theory
KW - Variable delay
UR - http://www.scopus.com/inward/record.url?scp=85037051947&partnerID=8YFLogxK
U2 - 10.1016/j.indag.2017.11.004
DO - 10.1016/j.indag.2017.11.004
M3 - Article
AN - SCOPUS:85037051947
SN - 0019-3577
VL - 29
SP - 671
EP - 686
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 2
ER -