Interconversion relationships for completely monotone functions

DOI10.1137/120891988zbMATH Open1299.74034OpenAlexW2074645236MaRDI QIDQ2878990

R. J. Loy, Robert S. Anderssen

Publication date: 5 September 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120891988

zbMATH Keywords

Stieltjes transformconstitutive equationsBorel transformlinear viscoelasticitycomplete monotonicityinterconversion equations

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Volterra integral equations (45D99)

Related Items (4)

The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity ⋮ Kernel perturbations for Volterra convolution integral equations ⋮ On the completely positive kernels for nonuniform meshes ⋮ A class of monotonicity-preserving variable-step discretizations for Volterra integral equations

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