DSpace Collection: Volume 36, Number 3
http://hdl.handle.net/10525/2684
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On the Character of Growth of a Non-Contracting Semigroup
http://hdl.handle.net/10525/2707
Title: On the Character of Growth of a Non-Contracting Semigroup<br/><br/>Authors: Rozumenko, O. V.<br/><br/>Abstract: An estimation of the growth of a non-contracting semigroup Zt = exp(itA) where A is a non-dissipative operator with a two-dimensional imaginary component is given. Estimation is given in terms of the functional model in de Branges space.<br/><br/>Description: 2000 Mathematics Subject Classification: 47A45.Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
http://hdl.handle.net/10525/2706
Title: Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity<br/><br/>Authors: Demontis, Francesco; der Mee, Cornelis van<br/><br/>Abstract: In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.<br/><br/>Description: 2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations
http://hdl.handle.net/10525/2705
Title: Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations<br/><br/>Authors: Thandapani, E.; Pandian, S.; Revathi, T.<br/><br/>Abstract: The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equationΔ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0where n ∈ N(n0), α > 0, τ, σ are fixed non negative integers, {an}, {pn}, {qn} are real sequences and f and g real valued continuous functions are studied. Our results generalize and improve some known results of neutral delay difference equations.<br/><br/>Description: 2000 Mathematics Subject Classification: 39A10.Units of F5kD10
http://hdl.handle.net/10525/2704
Title: Units of F5kD10<br/><br/>Authors: Gildea, Joe<br/><br/>Abstract: The Structure of the Unit Group of the Group Algebra of the group D10 over any field of characteristic 5 is established in terms of split extensions of cyclic groups.<br/><br/>Description: 2000 Mathematics Subject Classification: 20C05, 16U60, 16S84, 15A33.Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds
http://hdl.handle.net/10525/2703
Title: Warped Product CR-Submanifolds in Lorentzian para Sasakian Manifolds<br/><br/>Authors: Uddin, Siraj<br/><br/>Abstract: Many research articles have recently appeared exploring existence or non existence of warped product submanifolds in known spaces (cf. [2, 5, 8]). The objective of the present paper is to study the existence or non-existence of contact CR-warped products in the setting of LP-Sasakian manifolds.<br/><br/>Description: 2000 Mathematics Subject Classification: 53C15, 53C40, 53C42.Low Volatility Options and Numerical Diffusion of Finite Difference Schemes
http://hdl.handle.net/10525/2702
Title: Low Volatility Options and Numerical Diffusion of Finite Difference Schemes<br/><br/>Authors: Milev, Mariyan; Tagliani, Aldo<br/><br/>Abstract: In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and low volatility options. Discontinuities in the initial conditions require applying nonstandard non-oscillating finite difference schemes such as the exponentially fitted finite difference schemes suggested by D. Duffy and the Crank-Nicolson variant scheme of Milev-Tagliani. We present a short survey of these two schemes, investigate the origin of the respective artificial numerical diffusion and demonstrate how it could be diminished.<br/><br/>Description: 2000 Mathematics Subject Classification: 65M06, 65M12.New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points
http://hdl.handle.net/10525/2701
Title: New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points<br/><br/>Authors: Aghalary, R.; Ebadian, A.<br/><br/>Abstract: We consider some familiar subclasses of functions starlike with respect to symmetric points and obtain sufficient conditions for these classes in terms of their Taylor coefficient. This leads to obtain several new examples of these subclasses.<br/><br/>Description: 2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.