<abstract xmlns="http://www.w3.org/1999/xhtml">

 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.
</abstract>

The multi-morphisms and their properties and applications

<abstract xmlns="http://www.w3.org/1999/xhtml">

 We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order with impulses at fixed points.
</abstract>

Boundary value problem for the second order impulsive delay differential equations

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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.
</abstract>

Generalized CreditRisk+ model and applications

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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 the problem has two nontrivial solutions of constant sign. In the proof we use variational methods with truncation and minimization techniques.
</abstract>

Two constant sign solutions for a nonhomogeneous Neumann boundary value problem

<abstract xmlns="http://www.w3.org/1999/xhtml">

 Let Mm×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: Mm×n(F) → Mm×n(F) such that spark(Φ(A)) = spark(A) for any A ∈Mm×n(F). 
</abstract>

A note on preserving the spark of a matrix

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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 fixed point theorem for some function spaces. We end the paper with some new inequalities characterizing the inner product spaces.
</abstract>

Stability of a generalization of the Fréchet functional equation

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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 functional equations and of the equation of isometry.
</abstract>

On the stability of the squares of some functional equations

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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].
</abstract>

Further investigations on a question of Zhang and Lü

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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 Bp. As application, we obtain the Pitt’s inequality for power weights.
</abstract>

The class Bp for weighted generalized Fourier transform inequalities

<abstract xmlns="http://www.w3.org/1999/xhtml">

 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 functions.
</abstract>

Department of Mathematics University of Kalyani P.O.-Kalyani, Dist-Nadia, PIN- 741235 West Bengal India

Rajbari, Rabindrapalli, R. N. Tagore Road P.O.-Krishnagar, Dist-Nadia, PIN- 741101 West Bengal India

Comparative growth analysis of Wronskians in the light of their relative orders

<abstract xmlns="http://www.w3.org/1999/xhtml">

 In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation
<inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/Untitled-1.jpg"></inline-graphic></alternatives></inline-formula>
where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
</abstract>

Stability of generalized quadratic functional equation on a set of measure zero

16th International Conference on Functional Equations and Inequalities, Będlewo, Poland, May 17-23, 2015

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