Başlık için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 240, listelenen: 24-43
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The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
(IOP Publishing Ltd, 2011-04)This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the ... -
A certain class of harmonic mappings related to functions of bounded boundary rotation
(Eudoxus Press, 2014-05)Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ... -
A certain class of starlike log-harmonic mappings
(Elsevier Science BV, 2014-11)In this paper we investigate some properties of log-harmonic starlike mappings. For this aim we use the subordination principle or Lindelof Principle (Lewandowski (1961) [71). -
Characteristic classes of foliations via SAYD-twisted cocycles
(European Mathematical Society, 2015)We find the first non trivial “SAYD-twisted” cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the Euclidian space. We apply the cocycle to construct a characteristic ... -
A characteristic map for compact quantum groups
(Springer Heidelberg, 2017-09)We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra ... -
Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
(Mathematical Society of The Repulic Of China, 2016-12)In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose ... -
Classification of surfaces in a pseudo-sphere with 2-type pseudo-spherical Gauss map
(Wiley-V C H Verlag GMBH, 2017-11)In this article, we study submanifolds in a pseudo-sphere with 2-type pseudo-spherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S-2(4) subset of E-2(5) with zero mean curvature ... -
Close-to-convex functions defined by fractional operator
(2013)Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ C||z|<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ... -
Closing the gap in the purely elliptic generalized Davey-Stewartson system
(Pergamon-Elsevier Science Ltd, 2008-10-15)In this note we improve the results presented previously on global existence and global nonexistence for the Solutions of the purely elliptic generalized Davey-Stewartson system. These results left a gap in the parameter ... -
Complex and real rays in three dimensional Minkowski space
(IEEE, 2002)A new approach to the theory of complex rays is proposed. It is shown that the Minkowski space is more appropriate for describing these rays than the usual, Euclidian spaces. Some illustrative examples are represented. -
A complex travelling wave solution to the KdV-Burgers equation
(Elsevier Science bv, 2005-09-19)In the present work, making use of the hyperbolic tangent method a complex travelling wave solution to the KdV-Burgers equation is obtained. It is observed that the real part of the solution is the combination of a shock ... -
Complex travelling wave solutions to the KdV and Burgers equations
(Elsevier Science Inc, 2005-03)In the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the Korteweg-deVries and Burgers equations are obtained. It is observed that the real part of the Solution for the ... -
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
(Birkhauser, 2021-06)In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is ... -
Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution
(Springer Basel AG, 2014-12)The basic equations describing the nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions, in the long-wave limit, are ... -
Contribution of higher order terms in nonlinear ion-acoustic waves: strongly dispersive case
(Physical Soc Japan, 2002-08)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed by us [J. Phys. Soc. Jpn. 68 ... -
Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 2012-05-12)In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ... -
Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
(Pergamon-Elsevier Science, 2003-07)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, and then utilizing the modified reductive ... -
Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
(IOP Publishing Ltd, 2004-10-08)In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ... -
Cross-sectional thermoacoustic imaging using multi-layer cylindrical media
(IEEE, 2017-11-10)For cross-sectional two-dimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical cross-section. ... -
Cryptanalysis of Fridrich's chaotic image encryption
(World Scientific Publishing, 2010-05)We cryptanalyze Fridrich's chaotic image encryption algorithm. We show that the algebraic weaknesses of the algorithm make it vulnerable against chosen-ciphertext attacks. We propose an attack that reveals the secret ...
