Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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  • Article
    Citation - WoS: 46
    Citation - Scopus: 47
    Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space
    (Springer Basel Ag, 2020) Abdeljawad, Thabet; Sousa, J. Vanterler da C.; Jarad, Fahd
    In this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous (alpha,beta)-resolvent operator function P-alpha,P-beta(t) and Kuratowski measure of non-compactness in Banach space Omega.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    A Fixed Point Theorem for a System of Pachpatte Operator Equations
    (Springer Basel Ag, 2021) Ozturk, Ali; Rakocevic, Vladimir; Karapinar, Erdal
    In this paper, we investigate sufficient conditions for the existence of solutions to the system {Tx=x, alpha(i)(x)=0(E), i = 1,2, ... r, where 0(E) is the zero vector of E, and alpha(i) : E -> E i = 1, 2, ... , r are mappings, T is a mapping satisfying the Pachpatte-contraction.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Singular Dissipative Third-Order Operator and Its Characteristic Function
    (Springer Basel Ag, 2020) Ugurlu, Ekin
    In this work, we describe well-defined dissipative boundary conditions related with a singular third-order differential equation in lim-3 case at singular point. Using the characteristic function of the corresponding dissipative operator we introduce a completeness theorem.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    A New Method for Dissipative Dynamic Operator With Transmission Conditions
    (Springer Basel Ag, 2018) Ugurlu, Ekin; Tas, Kenan
    In this paper, we investigate the spectral properties of a boundary value transmission problem generated by a dynamic equation on the union of two time scales. For such an analysis we assign a suitable dynamic operator which is in limit-circle case at infinity. We also show that this operator is a simple maximal dissipative operator. Constructing the inverse operator we obtain some information about the spectrum of the dissipative operator. Moreover, using the Cayley transform of the dissipative operator we pass to the contractive operator which is of the class With the aid of the minimal function we obtain more information on the dissipative operator. Finally, we investigate other properties of the contraction such that multiplicity of the contraction, unitary colligation with basic operator and CMV matrix representation associated with the contraction.