Creep and Stress Relaxation in a Viscoelasticity Theory with Derivatives of Fractional Order

Dušan Zorica

Displaying similar documents to “Creep and Stress Relaxation in a Viscoelasticity Theory with Derivatives of Fractional Order”

On the solution of some non-local problems

F. Criado, Jr. Criado, F., N. Odishelidze (2004)

Czechoslovak Mathematical Journal

Similarity:

This paper deals with two types of non-local problems for the Poisson equation in the disc. The first of them deals with the situation when the function value on the circle is given as a combination of unknown function values in the disc. The other type deals with the situation when a combination of the value of the function and its derivative by radius on the circle are given as a combination of unknown function values in the disc. The existence and uniqueness of the classical solution...

Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients

Yuri Melnikov (2010)

Open Mathematics

Similarity:

Convenient for immediate computer implementation equivalents of Green’s functions are obtained for boundary-contact value problems posed for two-dimensional Laplace and Klein-Gordon equations on some regions filled in with piecewise homogeneous isotropic conductive materials. Dirichlet, Neumann and Robin conditions are allowed on the outer boundary of a simply-connected region, while conditions of ideal contact are assumed on interface lines. The objective in this study is to widen the...

A criterion for convergence of solutions of homogeneous delay linear differential equations

Josef Diblík (1999)

Annales Polonici Mathematici

Similarity:

The linear homogeneous differential equation with variable delays $ẏ (t) = \sum_{j = 1}^{n} α_{j} (t) [y (t) - y (t - τ_{j} (t))]$ is considered, where $α_{j} \in C (I, ℝ ͞ ͞ ⁺)$ , I = [t₀,∞), ℝ⁺ = (0,∞), $\sum_{j = 1}^{n} α_{j} (t) > 0$ on I, $τ_{j} \in C (I, ℝ ⁺),$ the functions $t - τ_{j} (t)$ , j=1,...,n, are increasing and the delays $τ_{j}$ are bounded. A criterion and some sufficient conditions for convergence of all solutions of this equation are proved. The related problem of nonconvergence is also discussed. Some comparisons to known results are given.