Titlebook: Mathematical Analysis and Applications; Themistocles M. Rassias,Panos M. Pardalos Book 2019 Springer Nature Switzerland AG 2019 Mathematic

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A Variational Approach to the Financial Problem with Insolvencies and Analysis of the Contagion,ch invest in financial instruments as assets and as liabilities. Indeed the model, studied in the chapter, takes into account the insolvencies and we analyze how these insolvencies affect the financial problem. For this improved model we describe a variational inequality for which we provide an exis

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On Hyperstability of the Two-Variable Jensen Functional Equation on Restricted Domain,w that (under some weak natural assumptions) functions that satisfy the equation approximately (in some sense) must be actually solutions to it. The method is based on a quite recent fixed point theorem in some functions spaces and can be applied to various similar equations in many variables. Our o

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On the Study of Circuit Chains Associated with a Random Walk with Jumps in Fixed, Random Environmente the unique representations by directed circuits and weights of the corresponding Markov chains (circuit chains) in fixed, random environments. This will give us the possibility to find suitable criteria regarding the properties of recurrence and transience of the above-mentioned circuit chains in

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Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalizedious fields of mathematics and engineering. The goal of this chapter is to find the fractional integral and differential formulas (also known as composition formulas) involving the extended incomplete generalized hypergeometric functions by using the generalized fractional calculus operators (the Ma

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,Extensions of Kannappan’s and Van Vleck’s Functional Equations on Semigroups,ps . that need not be abelian or unital, . is an involutive morphism of ., . : .→. is a multiplicative function such that .(.(.)) = 1 for all . ∈ . and .. is a fixed element in the center of ...We find the complex-valued solutions of these equations in terms of multiplicative functions and solutions

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Additive ,-Functional Inequalities and Their Applications,r with |.| < 1. Furthermore, we prove the Hyers-Ulam stability of the additive .-functional inequalities (1) and (2) in complex Banach spaces. This is applied to investigate homomorphisms in ..-algebras, Lie ..-algebras and ..-algebras, and derivations on ..-algebras, Lie ..-algebras and ..-algebras