Browsing by Author "Aksoy,Ü."

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    Book Part
    Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis
    (Springer Science and Business Media Deutschland GmbH, 2022) Aksoy,Ü.; Çelebi,A.O.; Mathematics
    An integral representation formula in terms of the bi-Laplacian operator is obtained and Dirichlet problem for the bi-Poisson equation is solved in Clifford analysis. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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    Book Part
    Citation - Scopus: 1
    Dirichlet Problem for Poisson and Bi-Poisson Equations in Clifford Analysis
    (Springer International Publishing, 2019) Aksoy,Ü.; Mathematics
    Dirichlet problems for Poisson equation and a second order linear equation are studied in the unit ball by using an integral representation formula with respect to the Laplacian in the complex Clifford algebra ℂ m for m ≥ 3. Iterating the Green type kernel function, representation of the solution of the bi-Poisson equation with homogeneous Dirichlet condition is presented. © Springer Nature Switzerland AG 2019.
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    Conference Object
    Citation - Scopus: 16
    Dirichlet Problems for the Generalized N-Poisson Equation
    (Springer International Publishing, 2010) Aksoy,Ü.; Çelebi,A.O.; Mathematics
    Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator. © 2009 Birkhäuser Verlag Basel/Switzerland.
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    Article
    Citation - Scopus: 73
    Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems
    (Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.; Mathematics
    A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.