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

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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

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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

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The linear homogeneous differential equation with variable delays ẏ ( t ) = ∑ j = 1 n α j ( t ) [ y ( t ) - y ( t - τ j ( t ) ) ] is considered, where α j ∈ C ( I , ℝ ͞ ͞ ⁺ ) , I = [t₀,∞), ℝ⁺ = (0,∞), ∑ j = 1 n α j ( t ) > 0 on I, τ j ∈ 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.