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In this paper, we investigate generalized variational comparison results aimed to study the stability properties in terms of two measures for solutions of Set Differential Equations (SDEs) involving causal operators, taking into consideration the difference in initial conditions. Next, we employ these comparison results in proving the theorems that give sufficient conditions for equi-boundedness, equi-attractiveness in the large, and Lagrange stability in terms of two measures with initial time difference for the solutions of perturbed SDEs involving causal operators in regard to their unperturbed ones. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study a new family of analytic functions via Rodrigues formula. Some main properties, the generating function, various recurrence relations and differential properties of these functions are obtained. Furthermore, the differential equations are given for the sub-classes of this family of analytic functions. [ABSTRACT FROM AUTHOR]

In this paper, Padé approximations are applied Black-Scholes model which reduces to heat equation. This paper shows various Padé approximaitons to obtain an effective and accurate solution to the Black-Scholes equation for a European put/call option pricing problem. At the end of the paper, results of closed-form solution of Black-Scholes problem , solution of Crank-Nicolson approach and the solution of (1; 1), (1; 2), (2; 0), (2; 1), (2; 2) Padé approximations are given at a table. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to investigate some properties of H-continuous (Almost Hcontinuous) multifunctions defined from a product space to a product space. The relations between the strongly closed graph of a multivalued functions and H-upper semicontinuity of multivalued functions are also investigated. [ABSTRACT FROM AUTHOR]

In this paper, a differential equation characterizing the dual spherical curves and an explicit solution of this differential equation is given. Without the precondition on the dual torsion, which is the torsion is nowhere zero, a necessary and sufficient condition for a dual curve to be spherical curve is given. Finally, the dual spherical version of the planar evolute in plane kinematics is presented. [ABSTRACT FROM AUTHOR]

In this paper, the (G′/G)-expansion method is presented for finding the exact solutions of the space-time fractional traveling wave solutions for the Joseph-Egri (TRLW) equation and Gardner equation. The fractional derivatives are described by modified Riemann-Liouville sense. Many exact solutions are obtained by the hyperbolic functions, the trigonometric functions and the rational functions. This method is efficient and powerful in performing a solution to the fractional partial differential equations. Also, the method reduces the large amount of calculations. [ABSTRACT FROM AUTHOR]

In this work, q-analogue of the telegraph differential equation is investigated. The approximation solution of q-analogue of the telegraph differential equation is founded by using the Laplace transform collocation method (LTCM). Then, the exact solution is compared with the approximation solution for q-analogue of the telegraph differential equation. The results showed that the method is useful and effective for q-analogue of the telegraph differential equation. [ABSTRACT FROM AUTHOR]

This article will focus on, and little extend, the part of the earlier study [5] that concerns the representations of the groups C0&supl;, Rn, using the method given for continuously differentiability of f(α) [4]. [ABSTRACT FROM AUTHOR]

In this study, Sturm-Liouville problem with discontinuities in the case when an eigenparameter linearly appears not only in the differential equation but it also appears in both of the boundary conditions is investigated. [ABSTRACT FROM AUTHOR]