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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 $${\mathbb {K}}\in \{{\mathbb {R}},{\mathbb {C}}\}$$…
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Keywords:
quadratic type;
nice results;
results quadratic;
functional equations ... See more keywords
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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 +…
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Keywords:
wilson;
wilson equations;
alembert wilson;
equations semigroups ... See more keywords
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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…
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Keywords:
integro differential;
semigroups generated;
equations semigroups;
generated volterra ... See more keywords