Matematik Bölümü: Recent submissions
Now showing items 1-20 of 33
-
Generalized differential transformation method for solving two-interval Weber equation subject to transmission conditions
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ... -
On operator GA-convex functions in Hilbert spaces
(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 ... -
Approximation to derivatives of functions by linear operators acting on weighted spaces by power series method
(Springer New York LLC, 2016)In this chapter, using power series method we study some Korovkin type approximation theorems which deal with the problem of approximating a function by means of a sequence of linear operators acting on weighted spaces. © ... -
Normal extensions of a singular differential operator on the right semi-axis
(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
(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
(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
(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
(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
(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 ...
