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…
2022
On some convex combinations of biholomorphic mappings in several complex variables
Abstract In this paper, our interest is devoted to study the convex combinations of the form \((1-\lambda)f+\lambda g\) where \(\lambda…
Simultaneous approximation by Gauss–Weierstrass–Wachnicki operators
Abstract In this note, we spotlight a generalization of Weierstrass integral operators introduced by Eugeniusz Wachnicki. The construction involves modified…
On some control problems for Kolmogorov type systems
Abstract The paper deals with some control problems related to the Kolmogorov system for two interacting populations. For the first…
On the localization and numerical computation of positive radial solutions for φ-Laplace equations in the annulus
Abstract The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a…
Cluj Academic Days 2022
The Opening Ceremony of the Cluj Academic Days 2022 will take place on the 7th October. Tiberiu Popoviciu Institute of…
Applications of fibre contraction principle to some classes of functional integral equations
Abstract Let \(a<c<b)\) real numbers, \((\mathbb{B},|\cdot|)\) a (real or complex) Banach space, \(H\in C([a,b]\times [a,c]\times\mathbb{B},\mathbb{B})\), \(K\in C([a,b]^{2}\times\mathbb{B},\mathbb{B})\), \(g\in C([a,b]),\mathbb{B} ,A:C([a,c],\mathbb{B})\rightarrow…
On the determination of the orbital elements in the light travel time effect
Abstract This paper deals with the light travel time effect in binary systems with variable components. The methods for estimation…
Semilinear problems with poly-Laplace type operators
AbstractThe paper deals with semilinear operator equations involving iterates of a strongly monotone symmetric linear operator. In particular there are…
Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities
Abstract We establish compression-expansion type fixed point theorems for systems of operator inclusions with decomposable multivalued maps. The approach is…