Results 161 to 170 of about 1,468,677 (198)

Monomial Summability and Doubly Singular Differential Equations

open access: yesJournal of Differential Equations, 2007
In this work, we consider systems of differential equations that are doubly singular, i.e. that are both singularly perturbed and exhibit an irregular singular point. Under a condition that also guanrantees the existence of a unique formal solution, we show that this formal solution is monomially summable, i.e.
Jorge Mozo Fernández, Reinhard Schäfke
exaly   +5 more sources

Differential Operators on Monomial Curves

open access: yesJournal of Algebra, 2003
Let \(k\) be a fixed algebraically closed field of characteristic 0, and \(X\) an affine monomial curve defined over \(k\). Then, \(X = \text{Spec}(A)\), where \(A=k[\Gamma]\) is the semigroup algebra over \(k\) defined by a numerical semigroup \(\Gamma\subseteq {\mathbb N}_0\).
Eivind Eriksen
exaly   +3 more sources

Uniqueness of a Differential Polynomial and a Differential Monomial Sharing a Small Function

open access: yesTbilisi Mathematical Journal, 2019
The authors prove two theorems on the uniqueness of meromorphic functions when a differential monomial and a differential polynomial share a small function with finite weight. They provide an example to verify the necessity of the hypotheses of the theorems. But the statement of Corollary 1.1 is incomplete.
Harina P Waghamore
exaly   +3 more sources

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