Fourier problems for parabolic equations with variable exponents of nonlinearity and time delay
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
The Fourier problem for nonlinear parabolic equations with variable exponents of nonlinearity and time delay is considered. The existence and uniqueness of weak solutions of the problem are investigated. Also, its a priori estimates are obtained.
Authors and Affiliations
M. M. Bokalo, O. V. Ilnytska
On interpolation problem with derivative in the space of entire functions with fast-growing interpolation knots
In the paper are obtained the conditions on a sequence (bk,1;bk,2), k∈N, such that the interpolation problem g(λk)=bk,1, g′(λk)=bk,2 has a unique solution in a subspace of entire functions g that satisfy the condition ln...
Hahn’s pairs and zero inverse problem
We prove that for a function α0:[0,1]→R there exists a separately continuous function f:[0,1]2→R such that E0(fx)=α0(x) on [0,1] if and only if α0 is the nonnegative lower semicontinuous function, where fx(y)=f(x,y) for...
The double star sequences and the general second Zagreb index
For a simple graph we introduce notions of the double star sequence, the double star fre- quently sequence and prove that these sequences are inverses of each other. As a consequence, we express the general second Zagreb...
Two-member asymptotic of Laplace-Stieltjes integrals
We study conditions, under which for the Laplace-Stieltjes integral I(σ)=∫∞0f(x)exσdF(x) with the abscissa of the convergence σc=A∈(−∞,+∞] the asymptotical equality lnI(σ)=Φ1(σ)+τ(1+o(1))Φ2(σ) as σ↑A is true, where τ∈R∖{...
On bonding of some bitopological notions
In this paper, we study two strong forms of separations axioms on bitopological spaces and we observe that the results on such axioms are odd compared to prevailing results of bitopological spaces or topological spaces,...