TY - JOUR
T1 - About differential inequalities for nonlocal boundary value problems with impulsive delay equations
AU - Domoshnitsky, Alexander
AU - Volinsky, Irina
PY - 2015
Y1 - 2015
N2 - We propose results about sign-constancy of Green’s functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green’s functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green’s functions allows us to get conclusions about the sign-constancy of Green’s functions to given functional differential boundary value problems, using the technique of theorems about differential and integral inequalities and estimates of spectral radii of the corresponding compact operators in the space of essential bounded functions.
AB - We propose results about sign-constancy of Green’s functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green’s functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green’s functions allows us to get conclusions about the sign-constancy of Green’s functions to given functional differential boundary value problems, using the technique of theorems about differential and integral inequalities and estimates of spectral radii of the corresponding compact operators in the space of essential bounded functions.
KW - Estimates of solutions
KW - Green’s function
KW - Impulsive equation
KW - Negativity of Green’s function
KW - Nonlocal boundary value problem
KW - Positivity of Green’s function
UR - http://www.scopus.com/inward/record.url?scp=84942235461&partnerID=8YFLogxK
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AN - SCOPUS:84942235461
SN - 0862-7959
VL - 140
SP - 121
EP - 128
JO - Mathematica Bohemica
JF - Mathematica Bohemica
IS - 2
ER -