Diğer Yayınlar / Other Publications
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Browsing Diğer Yayınlar / Other Publications by Author "Aksoy, Ümit"
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Article A HIERARCHY OF SINGULAR INTEGRAL OPERATORS FOR MIXED BOUNDARY VALUE PROBLEMS(2011) Aksoy, Ümit; Çelebi, Okay; MathematicsA class of integral operators having a hierarchy of polyharmonic kernels is introduced and some properties are derived. Iterated mixed boundary value problems for complex model equations and linear elliptic complex partial differential equations are discussed in the unit disc of the complex plane.Article A Survey on Boundary Value Problems for Complex Partial Differential Equations(Advances in Dynamical Systems and Applications, 2010) Aksoy, Ümit; Çelebi, A. Okay; MathematicsIn this article, the recent results on basic boundary value problems of complex analysis are surveyed for complex model equations and linear elliptic complex par tial differential equations of arbitrary order on simply connected bounded domains, particularly in the unit disc, on unbounded domains such as upper half plane and upper right quarter plane and on multiply connected domains containing circular rings.Article Neumann problem for generalized n-Poisson equation(Journal of Mathematical Analysis and Applications, 2009) Aksoy, Ümit; Çelebi, Okay; MathematicsUsing a hierarchy of integral operators having higher-order Neumann functions and their derivatives as kernels, the Neumann problem for a 2nth order linear partial complex differential equation is discussed. The solvability of the problem is obtained.Article Norm estimates of a class of Calderon–Zygmund type strongly singular integral operators(Integral Transforms and Special Functions, 2007) Aksoy, Ümit; Çelebi, Okay; MathematicsIn this article, we prove the Lp boundedness of a class of Calderon–Zygmund type strongly singular operators. In particular, we give an estimate for the L2 norm of these operators in the unit disc of the complex plane.Article Weak ψ -contractions on partially ordered metric spaces and applications to boundary value problems(2015) Aksoy, Ümit; MathematicsRecent developments in fixed point theory have been encouraged by the applicability of the results in the area of boundary value problems for differential and integral equations. Especially in the last few years, a lot of publications in fixed point theory have presented results directly related to specific initial or boundary value problems. These problems include not only ordinary and partial differential equations, but also fractional differential equations.
