منابع مشابه
Convolutions with the Continuous Primitive Integral
and Applied Analysis 3 The space AC is a Banach space under the Alexiewicz norm; ‖f‖ supI⊂R| ∫ If |, where the supremum is taken over all intervals I ⊂ R. An equivalent norm is ‖f‖′ supx∈R| ∫x −∞f |. The continuous primitive integral contains the Lebesgue, Henstock-Kurzweil, and wide Denjoy integrals since their primitives are continuous functions. These three spaces of functions are not comple...
متن کاملChain integral solutions to tautological systems
We give a new geometrical interpretation of the local analytic solutions to a differential system, which we call a tautological system τ , arising from the universal family of Calabi-Yau hypersurfaces Ya in a G-variety X of dimension n. First, we construct a natural topological correspondence between relative cycles in Hn(X − Ya,∪D − Ya) bounded by the union of G-invariant divisors ∪D in X to t...
متن کاملApproximation of solutions to fractional integral equation
In this paper we shall study a fractional integral equation in an arbitrary Banach space X . We used the analytic semigroups theory of linear operators and the fixed point method to establish the existence and uniqueness of solutions of the given problem.We also prove the existence of global solution. The existence and convergence of the Faedo–Galerkin solution to the given problem is also prov...
متن کاملS-integral Solutions to a Weierstrass Equation
The rational solutions with as denominators powers of to the elliptic diophantine equation y x x are determined An idea of Yuri Bilu is applied which avoids Thue and Thue Mahler equations and deduces four term S unit equations with special properties that are solved by linear forms in real and p adic logarithms Introduction In a recent paper SW my colleague R J Stroeker and I determined the com...
متن کاملSymmetry of Solutions to Some Systems of Integral Equations
In this paper, we study some systems of integral equations, including those related to Hardy-Littlewood-Sobolev (HLS) inequalities. We prove that, under some integrability conditions, the positive regular solutions to the systems are radially symmetric and monotone about some point. In particular, we established the radial symmetry of the solutions to the Euler-Lagrange equations associated wit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2011
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rnr022