Get An Introduction to the Theory of Functional Equations and PDF

By Marek Kuczma,Attila Gilányi

ISBN-10: 3764387483

ISBN-13: 9783764387488

Marek Kuczma used to be born in 1935 in Katowice, Poland, and died there in 1991.

After completing highschool in his domestic city, he studied on the Jagiellonian college in Kraków. He defended his doctoral dissertation less than the supervision of Stanislaw Golab. within the 12 months of his habilitation, in 1963, he got a place on the Katowice department of the Jagiellonian collage (now college of Silesia, Katowice), and labored there until his death.

Besides his numerous administrative positions and his awesome instructing job, he entire first-class and wealthy medical paintings publishing 3 monographs and one hundred eighty medical papers.

He is taken into account to be the founding father of the prestigious Polish college of sensible equations and inequalities.

"The moment half the name of this booklet describes its contents properly. most likely even the main committed expert wouldn't have proposal that approximately three hundred pages might be written as regards to the Cauchy equation (and on a few heavily similar equations and inequalities). And the ebook is in no way chatty, and doesn't even declare completeness. half I lists the mandatory initial wisdom in set and degree concept, topology and algebra. half II supplies information on recommendations of the Cauchy equation and of the Jensen inequality [...], specifically on non-stop convex features, Hamel bases, on inequalities following from the Jensen inequality [...]. half III offers with similar equations and inequalities (in specific, Pexider, Hosszú, and conditional equations, derivations, convex capabilities of upper order, subadditive capabilities and balance theorems). It concludes with an expedition into the sector of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)

"This publication is a true vacation for the entire mathematicians independently in their strict speciality. one could think what deliciousness represents this publication for useful equationists." (B. Crstici, Zentralblatt für Mathematik)


Show description

Read or Download An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality PDF

Best differential equations books

The Maximum Principle: 73 (Progress in Nonlinear by Patrizia Pucci,J. B. Serrin PDF

Greatest ideas are bedrock leads to the idea of moment order elliptic equations. This precept, easy sufficient in essence, lends itself to a rather extraordinary variety of sophisticated makes use of whilst mixed safely with different notions. meant for a large viewers, the publication presents a transparent and finished clarification of some of the greatest rules to be had in elliptic idea, from their starting for linear equations to fresh paintings on nonlinear and singular equations.

Evolution Equations of von Karman Type (Lecture Notes of the by Pascal Cherrier,Albert Milani PDF

In those notes we think about sorts of nonlinear evolution difficulties of von Karman kind on Euclidean areas of arbitrary even size. each one of those difficulties includes a procedure that effects from the coupling of 2 hugely nonlinear partial differential equations, one hyperbolic or parabolic and the opposite elliptic.

New PDF release: Mechanics and Mathematics of Fluids of the Differential Type

This article is the 1st of its type to compile either the thermomechanics and mathematical research of Reiner-Rivlin fluids and fluids of grades 2 and three in one ebook. each one a part of the ebook could be regarded as being self-contained. the 1st a part of the publication is dedicated to an outline of the mechanics, thermodynamics, and balance of flows of fluids of grade 2 and grade three.

Download e-book for iPad: Construction of Global Lyapunov Functions Using Radial Basis by Peter Giesl

The basin of charm of an equilibrium of a regular differential equation could be made up our minds utilizing a Lyapunov functionality. a brand new strategy to build this sort of Lyapunov functionality utilizing radial foundation features is gifted during this quantity meant for researchers and complicated scholars from either dynamical platforms and radial foundation features.

Extra resources for An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality

Sample text

Download PDF sample

An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma,Attila Gilányi

by Kenneth

Rated 4.41 of 5 – based on 26 votes