An abstract Korovkin type theorem and applications
Abstract We obtain some Korovkin type theorems for the space \(C(X)\), where \(X\) is a compact metric space (Theorems 2…
1989
An application of a theorem of McShane
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, An application of a…
Topological transversality and applications
Abstract A generalized version of the topological transversality theorem due to A. Granas is proved by using Urysohn’s lemma in…
Topological transversality, perturbation theorems and second order differential equations
Abstract The topological transversality theorem for condensing mappings stated in [7] is used to prove some perturbation theorems: a theorem…
On the quasiconvex functions of higher order
Abstract ?? AuthorsRadu Precup Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesR. Precup, On the quasiconvex functions of…
Measure of noncompactness and second order differential equations with deviating argument
AbstractWe study the existence and uniqueness of equations u′′(t)=f(t,u(t),u′(t),u(g₁(t)),…,u(g_{m}(t))) 1.1 u(t)=p(t),)t∈I╲intI,(1.2) in a Banach space. This problem is regarded as…
Convex functions of order \(n\) and \(P_n\)-simple functionals
Abstract A certain characterization of convex functions of order \(n\) on an interval \(I\) which are \((n+1)\) times differentiable on…
The forth order asymptotic approximation of the meteorological primitive equations when the Rossby number tends to zero
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy A. Georgescu KeywordsCite this paper as:C. Vamoş, A. Georgescu, The forth order…
The study of the pollutant dispersion in aerian and hydric medium using the homogenization method
AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy A. Georgescu D.…
On a Steffensen type method for solving nonlinear operator equations
Abstract Let \(X\) be a Banach space, \(Y\) a normed space and the nonlinear operator equation \(P\left( x\right) =0\), where…