On Volterra Equations and k-Regularized Resolvent Families

碩士 === 輔仁大學 === 數學系研究所 === 90 === Abstract Let , , , and for some , and let be a closed linear operator in X. Under suitable conditions, we obtain some basic properties of k-regularized resolvent families for and existence theorems of solutions for the following nonl...

Full description

Bibliographic Details
Main Authors: Su Yu Po, 蘇郁博
Other Authors: Kuo Chung Cheng
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/33472180587859237534
id ndltd-TW-090FJU00479003
record_format oai_dc
spelling ndltd-TW-090FJU004790032015-10-13T17:39:44Z http://ndltd.ncl.edu.tw/handle/33472180587859237534 On Volterra Equations and k-Regularized Resolvent Families 有關Volterra方程與k-正規預解族的研究 Su Yu Po 蘇郁博 碩士 輔仁大學 數學系研究所 90 Abstract Let , , , and for some , and let be a closed linear operator in X. Under suitable conditions, we obtain some basic properties of k-regularized resolvent families for and existence theorems of solutions for the following nonlinear Volterra equation: for . Applying this results, we shall deduce some multiplication theorems and discuss adjiont problems for k-regularized resolvent families. Kuo Chung Cheng 郭仲成 2002 學位論文 ; thesis 35 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 輔仁大學 === 數學系研究所 === 90 === Abstract Let , , , and for some , and let be a closed linear operator in X. Under suitable conditions, we obtain some basic properties of k-regularized resolvent families for and existence theorems of solutions for the following nonlinear Volterra equation: for . Applying this results, we shall deduce some multiplication theorems and discuss adjiont problems for k-regularized resolvent families.
author2 Kuo Chung Cheng
author_facet Kuo Chung Cheng
Su Yu Po
蘇郁博
author Su Yu Po
蘇郁博
spellingShingle Su Yu Po
蘇郁博
On Volterra Equations and k-Regularized Resolvent Families
author_sort Su Yu Po
title On Volterra Equations and k-Regularized Resolvent Families
title_short On Volterra Equations and k-Regularized Resolvent Families
title_full On Volterra Equations and k-Regularized Resolvent Families
title_fullStr On Volterra Equations and k-Regularized Resolvent Families
title_full_unstemmed On Volterra Equations and k-Regularized Resolvent Families
title_sort on volterra equations and k-regularized resolvent families
publishDate 2002
url http://ndltd.ncl.edu.tw/handle/33472180587859237534
work_keys_str_mv AT suyupo onvolterraequationsandkregularizedresolventfamilies
AT sūyùbó onvolterraequationsandkregularizedresolventfamilies
AT suyupo yǒuguānvolterrafāngchéngyǔkzhèngguīyùjiězúdeyánjiū
AT sūyùbó yǒuguānvolterrafāngchéngyǔkzhèngguīyùjiězúdeyánjiū
_version_ 1717783458765340672