Results 11 to 20 of about 138,862 (288)

On Solvability Conditions for the Cauchy Problem for Non-Volterra Functional Differential Equations with Pointwise and Integral Restrictions on Functional Operators

open access: yesMathematics, 2023
Cauchy problems are considered for families of, generally speaking, non-Volterra functional differential equations of the second order. For each family considered, in terms of the parameters of this family, necessary and sufficient conditions for the ...
Eugene Bravyi
doaj   +1 more source

Whole Business Securitization: Secured Lending Repackaged?: A Comment on Hill [PDF]

open access: yes, 2002
We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Rosén.
Kothari, Vinod
core   +2 more sources

Integral theorems for the quaternionic G-monogenic mappings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
doaj   +1 more source

New refinements of the Cauchy–Bunyakovsky inequality

open access: yesJournal of Inequalities and Applications, 2023
This paper presents new refinements on the integral form of Cauchy–Schwartz inequality known as Cauchy–Bunyakovsky inequality. It is proved that when we possess a weighted sum of a set of Cauchy–Bunyakovsky inequalities, there are two forms of ...
Saeed Montazeri
doaj   +1 more source

Cauchy and Poisson Integral of the Convolutor in Beurling Ultradistributions of Lp-Growth

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2014
Let C be a regular cone in ℝ and let TC=ℝ+iC⊂ℂ be a tubular radial domain. Let U be the convolutor in Beurling ultradistributions of Lp-growth corresponding to TC.
Byung Keun Sohn
doaj   +1 more source

Cauchy problem with Denjoy-Stieltjes integral [PDF]

open access: yesMathematica Bohemica
This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\geq1$. These kinds of equations are a generalization of the
María Guadalupe Morales Macías
doaj   +1 more source

The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry [PDF]

open access: yes, 2006
The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. We derive an integral spectral representation for the solution and prove pointwise decay in time.Comment: 33 ...
Johann Kronthaler   +4 more
core   +2 more sources

On Cauchy–Schwarz inequality for N-tuple diamond-alpha integral

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present some new Cauchy–Schwarz inequalities for N-tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy–Schwarz type inequalities given by many authors.
Xi-Mei Hu   +3 more
doaj   +1 more source

Algebraic aspects of increasing subsequences [PDF]

open access: yes, 1999
We present a number of results relating partial Cauchy-Littlewood sums, integrals over the compact classical groups, and increasing subsequences of permutations.
Baik, Jinho, Rains, Eric M.
core   +4 more sources

Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
doaj   +1 more source

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