TY - JOUR
T1 - On equations with delay depending on solution
AU - Domoshnitsky, Alexander
AU - Drakhlin, Michael
AU - Litsyn, Elena
N1 - Funding Information:
The research was supported by the Giladi Program of the Ministry of Science in the State of Israel.
PY - 2002/5
Y1 - 2002/5
N2 - The functional differential equations (FDE) with delay dependence on solutions was addressed. Multipoint boundary value problems for the nth order FDEs were investigated. The problem of uniqueness and convergence of the successive approximations for the neutral delayed differential equations was also addressed. The basic method of investigation of the nonlinear equation was also addressed as an 'absorption method'.
AB - The functional differential equations (FDE) with delay dependence on solutions was addressed. Multipoint boundary value problems for the nth order FDEs were investigated. The problem of uniqueness and convergence of the successive approximations for the neutral delayed differential equations was also addressed. The basic method of investigation of the nonlinear equation was also addressed as an 'absorption method'.
KW - Functional differential equations
KW - State dependent delay absorption method
UR - http://www.scopus.com/inward/record.url?scp=0036568046&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(01)00132-8
DO - 10.1016/S0362-546X(01)00132-8
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AN - SCOPUS:0036568046
SN - 0362-546X
VL - 49
SP - 689
EP - 701
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5
ER -