Linking Methods for Componentwise Variational Systems
Abstract The paper deals with the equilibrium solutions of two-equation systems in which each component equation has a variational structure.…
2023
Cluj Academic Days 2023
The Opening Ceremony of the Cluj Academic Days 2023 will take place on the 13th October. Emil Cătinaș, the head…
Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems
Abstract The paper deals with fractional optimization problems where the objective function (ratio of two functions) is defined on a…
Professor Doctor Ion Păvăloiu has passed away at the age of 84
With deep regret we announce that on August 1, 2023, Professor Dr. Ion Păvăloiu, honorary member of the Institute, has…
Nash equilibria for componentwise variational systems
Abstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…
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…
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…
On Wachnicki’s Generalization of the Gauss–Weierstrass Integral
Abstract The paper aims at a generalization of the Gauss–Weierstrass integral introduced by Eugeniusz Wachnicki two decades ago. It is…
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…