TY - JOUR
T1 - Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter
AU - Kandemir, M.
AU - Yakubov, Ya
N1 - Funding Information:
∗ The second author was supported by the Israel Ministry of Absorption. Received September 1, 2008 and in revised form January 26, 2009
PY - 2010
Y1 - 2010
N2 - We consider a linear differential equation which includes a linear abstract operator, with a piecewise constant coefficient at the principal differential term, together with multipoint boundary-transmission conditions, including linear functionals. The spectral parameter appears linearly in the equation and may appear also linearly in the boundary-transmission conditions. We prove an isomorphism and coerciveness of the problem with respect to the spectral parameter and the space variable.
AB - We consider a linear differential equation which includes a linear abstract operator, with a piecewise constant coefficient at the principal differential term, together with multipoint boundary-transmission conditions, including linear functionals. The spectral parameter appears linearly in the equation and may appear also linearly in the boundary-transmission conditions. We prove an isomorphism and coerciveness of the problem with respect to the spectral parameter and the space variable.
UR - http://www.scopus.com/inward/record.url?scp=80054866511&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0103-0
DO - 10.1007/s11856-010-0103-0
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AN - SCOPUS:80054866511
SN - 0021-2172
VL - 180
SP - 255
EP - 270
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -