TY - JOUR
T1 - Sign-constancy of green's functions for two-point impulsive boundary value problems
AU - Domoshnitsky, A.
AU - Mizgireva, Iu
N1 - Publisher Copyright:
© 2019 Miskolc University Press.
PY - 2019
Y1 - 2019
N2 - We consider the following second order impulsive differential equation with delays In this paper we obtain sufficient conditions of nonpositivity of Green's functions for impulsive differential equation. All results are formulated in the form of theorems about differential inequalities. It should be noted that the sign-constancy of the coefficients bj(t) was assumed in all the literature devoted to impulsive functional differential equations. One of the main purposes of this work is to propose a technique allowing us to avoid these assumptions.
AB - We consider the following second order impulsive differential equation with delays In this paper we obtain sufficient conditions of nonpositivity of Green's functions for impulsive differential equation. All results are formulated in the form of theorems about differential inequalities. It should be noted that the sign-constancy of the coefficients bj(t) was assumed in all the literature devoted to impulsive functional differential equations. One of the main purposes of this work is to propose a technique allowing us to avoid these assumptions.
KW - Boundary value problems
KW - Second order impulsive differential equations
KW - Sign-constancy of Green's functions
UR - http://www.scopus.com/inward/record.url?scp=85067525751&partnerID=8YFLogxK
U2 - 10.18514/MMN.2019.2768
DO - 10.18514/MMN.2019.2768
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AN - SCOPUS:85067525751
SN - 1787-2405
VL - 20
SP - 193
EP - 208
JO - Miskolc Mathematical Notes
JF - Miskolc Mathematical Notes
IS - 1
ER -