2015, Studia Mathematica 14
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Comparative growth analysis of Wronskians in the light of their relative orders
(2015)In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic ... -
The class $B_p$ for weighted generalized Fourier transform inequalities
(2015)In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class $B_p$. As application, we obtain the Pitt’s inequality for ... -
Further investigations on a question of Zhang and Lü
(2015)In the paper based on the question of Zhang and Lü [15], we present one theorem which will improve and extend results of Banerjee-Majumder [2] and a recent result of Li-Huang [9]. -
On the stability of the squares of some functional equations
(2015)We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of ... -
Stability of a generalization of the Fréchet functional equation
(2015)We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a ... -
A note on preserving the spark of a matrix
(2015)Let $M_{m×n}(F)$ be the vector space of all m×n matrices over a field $F$. In the case where $m ≥ n, char(F) ≠ 2$ and $F$ has at least five elements, we give a complete characterization of linear maps $Φ: M_{m×n}(F) -> ... -
Two constant sign solutions for a nonhomogeneous Neumann boundary value problem
(2015)We consider a nonlinear Neumann problem with a nonhomogeneous elliptic differential operator. With some natural conditions for its structure and some general assumptions on the growth of the reaction term we prove that ... -
Generalized CreditRisk+ model and applications
(2015)In the paper we give a mathematical overview of the CreditRisk+ model as a tool used for calculating credit risk in a portfolio of debts and suggest some other applications of the same method of analysis. -
Boundary value problem for the second order impulsive delay differential equations
(2015)We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points. -
The multi-morphisms and their properties and applications
(2015)In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented. -
Annales Universitatis Paedagogicae Cracoviensis. 160. Studia Mathematica 14
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2015)