• Generalized differential transformation method for solving two-interval Weber equation subject to transmission conditions 

  Yücel, Merve; Muhtarov, Fahreddin S.; Mukhtarov, Oktay Sh. (KARAGANDA STATE UNIV, 2023)

  The main goal of this study is to adapt the classical differential transformation method to solve new types of boundary value problems. The advantage of this method lies in its simplicity, since there is no need for ...

• Computation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques 

  Yücel, Merve; Mukhtarov, Oktay Sh.; Aydemir, Kadriye (SOC PARANAENSE MATEMATICA, 2023)

  In this study, we investigate a boundary value problem for nonlinear Sturm-Liouville equations with additional transmission conditions at one interior singular point. Known numerical methods are intended for solving initial ...

• Abstract Korovkin theory in modular spaces in the sense of power series method 

  Yurdakadim, Tuğba (2018)

  In this paper, using the power series method we obtain an abstract Korovkin type approximation theorem for a sequence of positive linear operators dened on modular spaces.

• Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems 

  Mukhtarov, Okan Sh.; Yücel, Merve; Aydemir, Kadriye (Wiley-Hindawi, 2020)

  In this paper, we propose a new approximation method (we shall call this method as alpha-parameterized differential transform method), which differs from the traditional differential transform method in calculating the ...

• A Study of the Eigenfunctions of the Singular Sturm-Liouville Problem Using the Analytical Method and the Decomposition Technique 

  Mukhtarov, Oktay Sh; Yücel, Merve (Mdpi, 2020)

  Abstract: The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov. The greatest ...

• A New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems 

  Yücel, Merve; Mukhtarov, Oktay Sh. (Amer Scientific Publishers, 2018)

  In this work, we will adapt the Adomian Decomposition Method to nonclassical boundary value problems the main feature of which is the nature of the equations and the boundary conditions imposed. Namely, the boundary ...

• Open book decompositions of links of quotient surface singularities and support genus problem 

  Dalyan, Elif (American Institute of Mathematical Sciences, 2019)

  Abstract: In this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique Milnor fillable contact structure. The page-genus of these Milnor open ...

• Maximal sectorial differential operators for first order 

  Ismailov, Zameddin I.; Öztürk Mert, Rukiye (2015)

  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 ...

• 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 ...

• Some Korovkin type results via power series method in modular spaces 

  Yurdakadim, Tuğba (Ankara University, 2016)

  Abstract. In this paper, we obtain a Korovkin type approximation result for a sequence of positive linear operators deÖned on modular spaces with the use of power series method . We also provide an example which satisfies ...

• A trace formula for the sturm-liouville type equation with retarded argument 

  Hıra, Fatma (Ankara Üniversitesi, 2017)

  In this paper, we deal with a discontinuous Sturm-Liouville problem with retarded argument and eigenparameter-dependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace ...

• The Arzelà-Ascoli theorem by means of ideal convergence 

  Taş, Emre; Yurdakadim, Tuğba (De Gruyter, 2018)

  In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences ...

• 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 ...

• The regularized trace of Sturm–Liouville problem with discontinuities at two points 

  Hıra, Fatma (Taylor and Francis Ltd., 2017)

  In this paper, we obtain a regularized trace formula for a Sturm–Liouville problem which has two points of discontinuity and also contains an eigenparameter in a boundary condition. © 2016 Informa UK Limited, trading as ...

• Some inequalities between functionals related to generalized limits 

  Yurdakadim, Tuğba; Orhan, Cihan (Editura Academiei Romane, 2017)

  Recall that A-statistical core theorem determines a class of regular matrices for which lim sup(T x) ≤ stA − lim sup x for all x ∈ m. The main object of this paper is to study an inequality between functionals which is ...

• Approximation by positive linear operators in modular spaces by power series method 

  Taş, Emre; Yurdakadim, Tuğba (Birkhauser Verlag AG, 2017)

  In the present paper, we study the problem of approximation to a function by means of positive linear operators in modular spaces in the sense of power series method. Indeed, in order to get stronger results than the ...

• Arbitrarily long factorizations in mapping class groups 

  Dalyan, Elif; Korkmaz, Mustafa; Pamuk, Mehmetcik (Oxford University Press, 2015)

  Abstract. On a compact oriented surface of genus g with n ≥ 1 boundary components, δ1, δ2, . . . , δn, we consider positive factorizations of the boundary multitwist tδ1 tδ2 · · ·tδn , where tδi is the positive Dehn twist ...

• Normal extensions of a singular multipoint differential operator of first order 

  Ismailov, Zameddin I.; Öztürk Mert, Rukiye (2012)

  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 ...

• Selfadjoint extensions of a singular multipoint differential operator of first order 

  Ismailov, Zameddin I.; Öztürk Mert, Rukiye (2013)

  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 ...

• Some results for max-product operators via power series method 

  Yurdakadim, Tuğba; Taş, Emre (Univerzita Komenskeho, 2018)

  In this paper, we obtain an approximation theorem by max-product operators with the use of power series method which is more effective than ordinary convergence and includes both Abel and Borel methods. We also estimate ...

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