TY - JOUR
T1 - Positivity of solutions to boundary value problems for infinite functional differential systems
AU - Domoshnitsky, Alexander
AU - Goltser, Yakov
PY - 2007/6
Y1 - 2007/6
N2 - In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.
AB - In this paper the problems of unique solvability of boundary value problems for infinite functional differential systems and positivity of their solutions are reduced to analysis of scalar functional equations in the space of measurable essentially bounded functions y : [0, + ∞) → (- ∞, + ∞). Efficient tests of the solvability and the positivity are obtained.
KW - Cauchy and periodic problems
KW - Functional equations
KW - Infinite systems
KW - Positivity
KW - Spectral radius
UR - http://www.scopus.com/inward/record.url?scp=33847766145&partnerID=8YFLogxK
U2 - 10.1016/j.mcm.2006.09.024
DO - 10.1016/j.mcm.2006.09.024
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AN - SCOPUS:33847766145
SN - 0895-7177
VL - 45
SP - 1395
EP - 1404
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
IS - 11-12
ER -