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Functional equations
Konopecký, František ; Černý, Robert (referee) ; Hencl, Stanislav (advisor)
Nazev pracc: Funkcionalni rovnice Autor: Frantisck Konopccky Katedra (ustav): Katcdra matcmaticke analyzy Vedouci bakalafske pracc: RNDr. Stanislav Hcncl, Ph.D. e-mail vedouciho: hencK(.i)karlni.mrT.cmri.cz Abstrakt: V pfcdlozcnc praci ye zabyvame mctodami fcscni funkcionalnich rovnic, triky, kterc fescni usnadnuji, vlastnostmi funkci, kterc pfi fescni pomahaji a myslenkovymi po- stupy pfi samotnem fescni. Nejprve za/Jvame pojem a praci s funkcionalni rovnici. Pote vysvetlnjeme dvc hlavni inetody - Substitucni-A Cauchyova. Naslcduji diilczite vlastnosti fnnkci a po nich ka]>itola o castych chybach pfi foscni. Ko konci se venujcme Cauchyove rovnici z vice stran a naslednje nckolik fesenych i nofcsenych pfikladu. Klicova slova: Fnnkcc, funkcionalni rovnice. Title: Functional Equations Author: Frantisek Konopccky Department; Department of Mathematical Analysis Supervisor: RNDr. Stanislav Hcncl, Ph.D. Supervisor's e-mail address: hencK(fikarlin.mfi.cnui.cz Abstract: In this thesis we study methods of solving strategies of functional equations, tricks, which make solving easier, special function properties, that help in solution and also ideas in solution itself. Firstly we get closer to term functional equation and show how to work with it. Then we explain two main methods Substitution method and Cauchy's...
Analysis of equilibria in economic models
Stibůrek, David ; Hencl, Stanislav (referee) ; Pražák, Dalibor (advisor)
Nazev pracc: Analyza roviiovaznych bodu v ekonomickycli rnodelech Autor: David Stiburek Katcdra (ustav): Katedra matcmatickc analyzy Vcdouci bakalarske prace: UNDr. Dalibor Prazak, Ph.D. (- -mail vedouciho: ra'/akiojkarli Abstrakt: V pfcdlozcne praci studujcme rovnovahu v ekonomickycli mode- Icch. V fade ekonomickycli situacicli muzcrnc pozorovat, zc nastanc rovno- vazna situce neboli, ze od urciteho okamziku nenastauou zadne velke zmcny. V rnnoha disciplinach bychom si pfali znat tyto rovnovaznc hodnoty. Ovscm inohou byt i situce, kdy v uekterych oblaytech uemusi k rovnovaze vubec dojit. Proto v teto praci nejdfivc zkouinamc, kdy se situace vubec muze do- stat do neja,ke rovuovahy neboli, kdy jc stabilni. A pole sc pokousimo \ircit rovnovaznou hoduotu a take relaxacni cas. Klicova slova: Ilovnovalia, stabilita a relaxacni doba. Title: Aiialysia of equilibria in economic models Author: David Stiburek Department: Department of Mathemathical analysis Supervisor: RNDr. Dalibor Prazak, Ph.D. Supervisor's (vrnail address: pra/ak'iikarliii.nifF.cuiii.rz Abstract: In the present work we study equilibria in ecomomics models. In many states we can see something, what can be simple called ay steady state. In many branches we would like to know these equilibria. But there exist some situations, when we; can't expect...

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