Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Hanyga, Andrzej"'
Autor:
Hanyga, Andrzej
Publikováno v:
Z. Angew. Math. Phys. (2019) 70:103
A relation between matrix-valued complete Bernstein functions and matrix-valued Stieltjes functions is applied to prove that the solutions of matricial convolution equations with extended LICM kernels belong to special classes of functions. In partic
Externí odkaz:
http://arxiv.org/abs/2106.07946
A comment on a controversial issue: a Generalized Fractional Derivative cannot have a regular kernel
Autor:
Hanyga, Andrzej
Publikováno v:
Fractional Calculus & Applied Analysis vol. 23 No 1 pp 211-223 (2020)
The problem whether a given pair of functions can be used as the kernels of a generalized fractional derivative and the associated generalized fractional integral is reduced to the problem of existence of a solution to the Sonine equation. It is show
Externí odkaz:
http://arxiv.org/abs/2003.04385
Autor:
Hanyga, Andrzej
Publikováno v:
Archive of Applied Mechanics (2019)
In an important class of linear viscoelastic media the stress is the superposition of a Newtonian term and a stress relaxation term. It is assumed that the creep compliance is a Bernstein class function, which entails that the relaxation function is
Externí odkaz:
http://arxiv.org/abs/1903.03814
Autor:
Hanyga, Andrzej
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions in one-dimensional and anisotropic 3D viscoelasticity. The proof makes use of the theory of complete Bernstein
Externí odkaz:
http://arxiv.org/abs/1805.07275
Autor:
Hanyga, Andrzej
We apply a relation between matrix-valued complete Bernstein functions and matrix-valued Stieltjes functions to prove that certain convolution equations for matrix-valued functions have unique solutions in a special class of functions. In particular
Externí odkaz:
http://arxiv.org/abs/1805.02471
Autor:
Hanyga, Andrzej
A new concise proof is given of a duality theorem connecting completely monotone relaxation functions with Bernstein class creep functions. The proof makes use of the theory of complete Bernstein functions and Stieltjes functions and is based on a re
Externí odkaz:
http://arxiv.org/abs/1804.03690
Autor:
Hanyga, Andrzej
Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the
Externí odkaz:
http://arxiv.org/abs/1507.03526
Autor:
Hanyga, Andrzej
A method of eliminating the memory from the equations of motion of linear viscoelasticity is presented. Replacing the unbounded memory by a quadrature over a finite or semi-finite interval leads to considerable reduction of computational effort and s
Externí odkaz:
http://arxiv.org/abs/1406.7494
Autor:
Hanyga, Andrzej
We extend the theory of complete Bernstein functions to matrix-valued functions and apply it to analyze Green's function of an anisotropic multi-dimension\-al linear viscoelastic problem. Green's function is given by the superposition of plane waves.
Externí odkaz:
http://arxiv.org/abs/1405.5724