Differential equation with retarded argument,
high dimensional model representation,
transmission conditions,
asymptotics of eigenvalues and eigenfunctions.
Subject:
Spectral theory of differential equations, Analytic number theory, High dimensional model representation.
Main publications:
Erdoğan Şen, Azad Bayramov, “Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition”, Mathematical and Computer Modelling, 54:11-12 (2011), 3090–3097
Erdoğan Şen, Azad Bayramov, “Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem”, Mathematical Methods in the Applied Sciences, 36 (2013), 1512–1519
Erdoğan Şen, “A class of second-order differential operators with eigenparameter dependent boundary and transmission conditions”, Mathematical Methods in the Applied Sciences, 37 (2014), 2952–2961
Erdoğan Şen, “Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function”, Miskolc Mathematical Notes, 15:1 (2014), 197–209
Erdoğan Şen, Serkan Araci, Mehmet Acikgoz, “Spectral problem for Sturm-Liouville operator with retarded argument which contains a spectral parameter in the boundary condition”, Ukrainian Mathematical Journal, 68:8 (2016), 1102-1114