New transformations for accelerating the convergence of infinite double series and infinite double integrals are presented. These transformations are generalizations of the univariate dand D-transformations. The D2transformation for infinite double integrals is efficient if the integrand satisfies a p.d.e. of a certain type. Similarly, the d2-transformation for double series works well for seri...

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...

In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...

Formulae involving double integrals over spheres arise naturally in inverse scattering problems since the scattered data are measured in the space R x Sz x Sz. In this paper we derive a relation between differential forms on the space S"' x S"-' , and those on the space Z x S n-2 x S where Z is a real interval. Specifically, d( dq = sin"' 6 d6 d$ dv (t, 7) E S '-' x S '-' and (6, $, U) E Z x S"...

to compare the quantity and quality of forge production in intercropping systems with maize, pinto bean and pumpkin, an experiment based on randomized complete block design with three replications was conducted at faculty of agricultural science, university of guilan, during 2012 growing season. the treatments consisted of maize, pinto bean and naked pumpkin sole cropping, maize – pinto bean an...

In this paper, we investigate a relation between the Givental group of rank one and Heisenberg-Virasoro symmetry KP hierarchy. We prove, that only two-parameter family operators can be identified with elements group. This describes triple Hodge integrals satisfying Calabi-Yau condition. Using identification two groups prove generating function condition its $\Theta$-version are tau-functions ge...

In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...

In this paper it is proposed to compute the volume integral of certain functions whose antiderivates with respect to one of the variates (say either x or y or z) is available. Then by use of the well known Gauss Divergence theorem, it can be shown that the volume integral of such a function is expressible as sum of four integrals over the unit triangle. The present method can also evaluate the ...

A novel stability analysis for the interval time-delay systems is proposed by employing a new series of integral inequalities for single and double integrals. Different from the recently introduced Wirtinger-based inequalities, refined Jensen inequalities and auxiliary function-based inequalities, the proposed ones can provide more accurate bounds for the cross terms in derivatives of the Lyapu...