Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Discrete Left-Definite Hamiltonian Systems
    (Wilmington Scientific Publisher, Llc, 2023) Ugurlu, Ekin
    In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space. After constructing some ellipsoids preserving nesting properties we introduce a lower bound for the number of Dirichlet-summable solutions of the equation. Moreover we introduce a limit-point criterion.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 5
    On the Eigenvalues of Second-Order Boundary-Value Problems
    (Wilmington Scientific Publisher, Llc, 2020) Ugurlu, Ekin
    In this paper we investigate the properties of eigenvalues of some boundary-value problems generated by second-order Sturm-Liouville equation with distributional potentials and suitable boundary conditions. Moreover, we share a necessary condition for the problem to have an infinitely many eigenvalues. Finally, we introduce some ordinary and Frechet derivatives of the eigenvalues with respect to some elements of the data.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Identifying the Initial Condition for Space-Fractional Sobolev Equation
    (Wilmington Scientific Publisher, Llc, 2021) Le Dinh Long; Le Thi Diem Hang; Baleanu, Dumitru; Nguyen Huu Can; Nguyen Hoang Luc; Long, Le Dinh; Luc, Nguyen Hoang; Hang, Le Thi Diem; Can, Nguyen Huu
    In this work, a final value problem for a fractional pseudo-parabolic equation is considered. Firstly, we present the regularity of solution. Secondly, we show that this problem is ill-posed in Hadamard's sense. After that we use the quasi-boundary value regularization method to solve this problem. To show that the proposed theoretical results are appropriate, we present an illustrative numerical example.