Abstract This paper discusses different types of Ulam stability first-order nonlinear Volterra delay integro-differential equations with impulses. Such allow the presence two kinds memory effects represented by and kernel used fractional integral operator. Our analysis is based on Pachpatte’s inequality fixed point approach Picard operators. Applications are provided to illustrate results obtai...

We consider regularization methods for numerical solution of linear illposed problems, in particular, image deblurring, when the singular value decomposition (SVD) of the operator is available. We assume that the noise-free problem satisfies the discrete Picard condition and define the Picard parameter, the index beyond which the data, expressed in the coordinate system of the SVD, are dominate...

We present a method for numerical computation of period integrals rigid Calabi-Yau threefold using Picard-Fuchs operator one-parameter smoothing. Our gives possibility computing the lattice double octic without any explicit knowledge its geometric properties, employing only simple facts from theory Fuchsian equations and computations in MAPLE with library differential equations. As surprising c...

An alternative approach is proposed for constructing a strongly continuous semigroup based on the classical method of successive approximations, or Picard iterations, together with generating functions. application to Black–Scholes integro-differential operator which arises in pricing European options under jump-diffusion dynamics provided. The expressed as Mellin convolution time-inhomogeneous...

In this paper we begin a systematic study of equivariant compactifications of Ga . The question of classifying non-equivariant compactifications was raised by F. Hirzebruch ([10]) and has attracted considerable attention since (see [5], [15], [12] and the references therein). While there are classification results for surfaces and non-singular threefolds with small Picard groups, the general pe...

In this paper we begin a systematic study of equivariant compactifications of Ga . The question of classifying non-equivariant compactifications was raised by F. Hirzebruch ([10]) and has attracted considerable attention since (see [5], [15], [12] and the references therein). While there are classification results for surfaces and non-singular threefolds with small Picard groups, the general pe...

In this paper, we begin a systematic study of equivariant compactifications of Ga . The question of classifying nonequivariant compactifications was raised by F. Hirzebruch (see [10]) and has attracted considerable attention since (see [6] , [15] , [12] , and the references therein). While there are classification results for surfaces and nonsingular threefolds with small Picard groups, the gen...