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2003, No. 2 |
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Y.S. Baburin INVERSION METHODS FOR SINGULAR INTEGRAL EQUATIONS In the paper inverse methods for complete singular integral equation with Caushy's kernel and closed contour of integration and analytic continuational prescribed functions are given. G.V. Voskresenskaya ABELIAN GROUPS AND MODULAR FORMS In the paper the author finds all such abelian groups that the cusp forms associated with all elements of these groups by a faithful representation are modular forms from a special class with multiplicative Fourier coefficients. E.V. Kitaeva THE BOUNDED IN ALL DOMAIN SOLUTIONS OF THE DISCRETE SINGULARLY PERTURBED EQUATIONS AND SYSTEMS The problem of the approximate search for the bounded in all domain solutions of the systems of the singularly perturbed ordinary differential equations and boundary value problems for parabolic equations is considered. The difference schemes for these problems are studied. Apriori estimates of the derivatives of the solutions of the continuous and discrete problems are proved, and the corresponding estimates of error are obtained. A.V. Savinov CANONICAL PRINCIPAL T1-BUNDLE OVER ODD-DIMENSIONAL MANIFOLD TThe geometry of principa T1-bundle over almost contact manifold is studied. It is proved that almost Hermitian structure is canonically induced on the space of such a bundle. The structure is determined by the so called generalized Ricci form. This form is calculated explicitly. By using this result important properties of the canonical almost Hermitian structures including curvature properties are studied. |
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