s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c ⃝ 2013 University of Tartu THEORETICAL ANALYSIS OF A SINC-NYSTRÖM METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS AND ITS IMPROVEMENT

In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using factorization approach. Families of differential equations, including differential, integro–differential, partial obtained these operators. The Volterra integral is also discovered.

In this paper, we consider an implicit block backward differentiation formula (BBDF) for solving Volterra Integro-Differential Equations (VIDEs). The approach given in this paper leads to numerical methods for solving VIDEs which avoid the need for special starting procedures. Convergence order and linear stability properties of the methods are analyzed. Also, methods with extensive stability r...

This paper presents a new iterative algorithm for approximating the fixed points of multivalued generalized \(\alpha\)–nonexpansive mappings. We study stability result our larger concept known as weak \(w^2\)–stability. Weak and strong convergence results proposed are also established. Furthermore, we show numerically that outperforms several algorithms Again, an application, use to find soluti...

We present some sufficient conditions such that Eq. (1) only has solutions with zero points in (0,∞). Moreover, we also obtain some conditions such that Eq. (1) has a positive solution on [0,+∞). The motivation of this work comes from the work of Ladas, Philos and Sficas [5]. They discussed the oscillation behavior of Eq. (1) when P (t, s) = P (t− s) and g(t) = t. They obtained a necessary and ...