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Handbook of Differential Equations: Ordinary Differential Equations, 4
- 1.
SYSNO ASEP 0330848 Druh ASEP M - Kapitola v monografii Zařazení RIV C - Kapitola v knize Název Successive Approximation Techniques in Non-Linear Boundary Value Problems Překlad názvu Techniky posloupných aproximací pro nelineární okrajové úlohy Tvůrce(i) Rontó, András (MU-W) RID, ORCID, SAI
Ronto, M. (HU)Zdroj.dok. Handbook of Differential Equations: Ordinary Differential Equations, 4, 4. - New York : Elsevier, 2009 / Battelli F. ; Fečkan M. - ISBN 978-0-444-53031-8 Rozsah stran s. 441-592 Poč.str. 152 s. Poč.výt. 400 Poč.str.knihy 702 Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova functional-differential equation ; special deviations of argument ; linear boundary value problem Vědní obor RIV BA - Obecná matematika CEP GA201/06/0254 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) Anotace In this work we investigate the solvability and the approximate construction of solutions of certain types of regular non-linear boundary value problems for systems of ordinary differential equations on a compact interval. According to the scheme suggested, the solution is sought for as the limit of a uniformly convergent parametrised sequence of functions constructed in an analytical form and depending on the properties of concrete boundary conditions and non-linearities. The values of the numerical parameters introduced artificially into the scheme should then be determined by solving a certain system of algebraic or transcendental equations. The work consists of 10 sections, the theoretical results are illustrated by examples. A number of exercises are also given. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2010
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