On Ulam stability of a partial differential operator in Banach spaces
Abstract In this paper, we prove that, if \(\inf \limits_{x\in A}\left \vert f\left(x\right) \right \vert =m>0\), then the partial differential…
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Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems
Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…
Localization of solutions for semilinear problems with poly-Laplace type operators
Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…
Solving ill-posed Helmholtz problems with physics-informed neural networks
Abstract We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on…
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application
Abstract In this paper we obtain nonlinear alternatives of Leray-Schauder and Monch type for nonself vector-valued operators, under hybrid conditions…
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Abstract Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499,…
Sur les equations algebriques ayant toutes leurs racines reeles
Original title (in French)Sur les equations algebriques ayant toutes leurs racines reeles English titleOn the algebraic equations having all solutions…
On the Chebyshev subspaces in normed space of Lipschitz functions
Original title (in Romanian)Asupra unor subspații cebâșeviene din spațiul normat al funcțiilor lipschitziene Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of…
On the uniqueness of the extension of continuous p-seminorms
Original title (in Romanian)Asupra unicității prelungirii p-seminormelor continue Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania…
Consideration on the ”equilibrium” electrons distribution function for a homogeneous high frequency, fully ionized plasma
Abstract The “equilibrium” electrons distribution function for a homogeneous, high frequency, fully ionized plasma is \(f_{0,0}^{0,0}=K_{1,2}\cdot u^{\frac{3A}{3A+1}}\cdot \exp \left( \frac…