Articles with "equations semigroups" as a keyword



Photo from archive.org

Nice results about quadratic type functional equations on semigroups

Sign Up to like & get
recommendations!
Published in 2019 at "Aequationes mathematicae"

DOI: 10.1007/s00010-019-00653-w

Abstract: Let $$(S,+)$$ ( S , + ) be an abelian semigroup, let $$\sigma $$ σ be an involution of S ,  let X be a linear space over the field $${\mathbb {K}}\in \{{\mathbb {R}},{\mathbb {C}}\}$$… read more here.

Keywords: quadratic type; nice results; results quadratic; functional equations ... See more keywords
Photo from archive.org

D’Alembert’s and Wilson’s equations on semigroups

Sign Up to like & get
recommendations!
Published in 2020 at "Aequationes mathematicae"

DOI: 10.1007/s00010-020-00708-3

Abstract: In this paper we consider a generalization of d’Alembert’s equation and Wilson’s equation on commutative semigroups using only the semigroup operation, ie. we consider the functional equation $$\begin{aligned}&h(x+2y)+h(x)=2f(y)h(x+y),\ x,y\in S, \end{aligned}$$ h ( x +… read more here.

Keywords: wilson; wilson equations; alembert wilson; equations semigroups ... See more keywords
Photo from wikipedia

Semigroups Generated by Volterra Integro-Differential Equations

Sign Up to like & get
recommendations!
Published in 2020 at "Differential Equations"

DOI: 10.1134/s0012266120090098

Abstract: We study abstract integro-differential equations that are operator models of problems in viscoelasticity. We present results based on an approach related to the study of one-parameter semigroups for linear evolution equations. The presented approach can… read more here.

Keywords: integro differential; semigroups generated; equations semigroups; generated volterra ... See more keywords