Oils constitute one of the essential components of balanced diet as good source of energy, as well as complementing the energy needs of the society in the form of biodiesel. The chemical and physical properties of oils are ...

We study the asymptotic stability of the zero solution of the Volterra difference delay equation x(n + 1) = a(n)x(n) + c(n)∆x(n − g(n)) +nX−1s=n−g(n)k(n, s)h(x(s)). A Krasnoselskii fxed point theorem is used in the analysis

We present and analyze a stable space-time multi-patch discontinuous Galerkin Isogeometric Analysis (dG-IgA) scheme for the numerical solution of parabolic evolution equations in deforming space-time computational domains. ...

This paper deals with the coupling of two major problems in lubrication theory: cavitation phenomena and roughness of the surfaces in relative motion: cavitation is defined as the rupture of the continuous film due to the ...

Some new refined multidimensional Hardy-type inequalities for p ≥ 2 and their duals are derived and discussed. Moreover, these inequalities hold in the reversed direction when 1 < ≤ 2. The results obtained are based mainly ...

The existence of multiple positive periodic solutions of the system of diference equations with a parameter x(n + 1) = A(n, x(n))x(n) + λf(n, xn), is studied. In particular, we use the eigenvalue problems of completely ...

We use Krasnoselskii’s fixed point theorem to prove the existence of positive periodic solutions of the second-order nonlinear neutral differential equation d2dt2x(t) + p(t)ddtx(t) + q(t)x(t) = cddtx(t − τ(t)) + f(t, ...

We prove the existence and uniqueness of a periodic solution for the multiple delay diference neutral Volterra equation ∆x(n) = −∑Nj=1aj (n)x(n − τj (n)) + ∆Q(n, x(n − τ1(n)), ..., x(n − τN (n))+∑Nj=1∑nn−τj (n) kj (n, s)fj ...

We obtain sufficient conditions under which solutions of certain classes of totally nonlinear neutral delay difference equations are periodic. A reformulated version of a fixed point theorem of Krasnoselskii is used to ...

We prove that the totally nonlinear second-order neutral diferential equation dt2x(t) + p(t)ddtx(t) + q(t)h(x(t)) =ddtc(t, x(t − τ (t))) + f(t, ρ(x(t)), g(x(t − τ (t)))) has positive periodic solutions by employing the ...