53 citations · 152 across the 17 of their papers we have counts for
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On Rings of Differential Rota-Baxter Operators
Xing Gao, Li Guo, Markus Rosenkranz
Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying th…
Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates
M. Rosenkranz, J. Liu, A. Maletzky +1
We develop a new theory for treating boundary problems for linear ordinary differential equations whose fundamental system may have a singularity at one of the two endpoints of the…
Green's Functions for Stieltjes Boundary Problems
M. Rosenkranz, N. Serwa
Stieltjes boundary problems generalize the customary class of well-posed two-point boundary value problems in three independent directions, regarding the specification of the bound…
An Algebraic Study of Multivariable Integration and Linear Substitution
Markus Rosenkranz, Xing Gao, Li Guo
We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitab…