Yazar "Öztürk Mert, Rukiye" için listeleme
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Ağırlıklı Hilbert uzaylarında birinci mertebeden diferansiyel-operatör ifadelerinin incelenmesi
Elmacı, Esma (Hitit Üniversitesi, 2023)Bu çalışmada vektör fonksiyonlarının ağırlıklı Hilbert uzaylarının üzerinde lineer (veya quasi-lineer) birinci mertebeden diferansiyel-operatör ifadelerin ürettiği minimal operatörün tüm akretif ve disipatif genişlemeleri ... -
First order self-adjoint multipoint quasi-differential operators
Öztürk Mert, Rukiye; Yılmaz, Bülent; Ismailov, Zameddin I. (TÜBİTAK, 2018)In this paper, using the Calkin-Gorbachuk method, the general form of all self-adjoint operators generated by first order linear singular multipoint quasi-differential expressions in the direct sum of weighted Hilbert ... -
Maximal sectorial differential operators for first order
In this study, the maximal sectorial linear relations are described. Then, the discreteness of the spectrum of the linear maximal sectorial operators and asymptotical behavior of the eigenvalues of such operators in terms ... -
Normal extensions of a singular differential operator on the right semi-axis
Ismailov, Zameddin I.; Öztürk Mert, Rukiye (Eurasian Mathematical Journal, 2014)In this work, based on the method of Everitt-Zettl and using the Calkin-Gorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differential-operator expression of the ... -
Normal extensions of a singular multipoint differential operator of first order
Many problems arising in the modelling of processes of multi-particle quantum mechanics,in the quantum field theory,in the multipoint boundary value problems for the differential equations,in the physics of rigid bodies ... -
On operator GA-convex functions in Hilbert spaces
Ünlüyol, Erdal; Öztürk Mert, Rukiye; Altunç, Cansu (American Institute of Physics Inc., 2018)In this paper, it is defined the operator GA-convex functions for continuous functions of self-adjoint operators in Hilbert spaces. And then it is obtained some new Hermite-Hadamard type inequalities for this class of ... -
On the spectrums of some class of selfadjoint singular differential operators
Ismailov, Zameddin I.; Yılmaz, Bülent; Öztürk Mert, Rukiye (Ankara University, 2016)Abstract. In this work, based on the Everitt-Zettl and Calkin-Gorbachuk methods in terms of boundary values all selfadjoint extensions of the minimal operator generated by some linear singular multipoint symmetric ... -
Selfadjoint extensions of a singular multipoint differential operator of first order
Many problems arising in the modelling of processes of multi-particle quantum mechanics,in the quantum field theory,in the multipoint boundary value problems for the differential equations,in the physics of rigid bodies ...
