Başlık için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 240, listelenen: 174-193
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On the class of harmonic mappings which is related to the class of bounded boundary rotation
(Elsevier Science Inc, 2015-09-15)The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ... -
On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
(Birkhauser Verlag, 2000-01)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... -
On the derivation of some non-linear evolution equations and their progressive wave solutions
(Pergamon-Elsevier Science, 2003-06)In the present work, utilizing the reductive perturbation method, the non-linear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... -
On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
(Pergamon-Elsevier Science Ltd., 2004-09)In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence ... -
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
(Springer International Publishing AG, 2017-06-02)We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame ... -
On the fractional sums of some special functions
(Springer Basel AG, 2019-03)We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the ... -
On the Hochschild homology of smash biproducts
(Elsevier B.V., 2021-02)We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ... -
On the realization of optical mappings and transformation of amplitudes by means of an aspherical "thick" lens
(Gustav Fischer Verlag, 2000)The constraints for the realization of a given optical mapping by means of an aspherical ''thick" lens are investigated by using the laws of geometrical optics. The analysis yields us a partial differential equation which ... -
On the third boundary value problem for parabolic equations in a non-regular domain of Rᴺ +1
(Işık University Press, 2016)In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N−space dimensional linear parabolic equation, in order to obtain existence, ... -
On travelling wave solutions of a generalized Davey-Stewartson system
(Oxford Univ Press, 2005-02)The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... -
On unfair permutations
(Elsevier Science BV, 2018-10)In this paper we study the inverse of so-called unfair permutations. Our investigation begins with comparing this class of permutations with uniformly random permutations, and showing that they behave very much alike in ... -
Particle dynamics in the KdV approximation
(Elsevier Science BV, 2012-12)The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ... -
Positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary conditions
(Politechnica University of Bucharest, 2017)We study the existence and uniqueness of positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary condition. Also, we provide an example to illustrate our main result. -
Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes
(Elsevier Science Inc., 1999-10)In the present work, we studied the propagation of small-but-finite-amplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the ... -
Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes
(Elsevier Science, 2002-11-25)In the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, ... -
Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map
(Birkhauser Verlag AG, 2016-05-28)In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, ... -
Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions
(Amer Inst Physics, 2014)Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... -
Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 2014-07)Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ...
