자료유형  

 학위논문

Control Number  

0016932714

International Standard Book Number  

9798379841577

Dewey Decimal Classification Number  

519.93

Main Entry-Personal Name  

Wang, Xiaohua.

Publication, Distribution, etc. (Imprint  

[S.l.] : Purdue University., 2021

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2021

Physical Description  

1 online resource(142 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 85-01, Section: B.

General Note  

Advisor: Tindel, Samy.

Dissertation Note  

Thesis (Ph.D.)--Purdue University, 2021.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Summary, Etc.  

요약This article is devoted to extend the recently developed rough path theory for Volterra equations from [1] to the case of more rough noise and/or more singular Volterra kernels. It was already observed in [1] that the Volterra rough path introduced there did not satisfy any geometric relation, similar to that observed in classical rough path theory. Thus, an extension of the theory to more irregular driving signals requires a deeper understanding of the specific algebraic structure arising in the Volterra rough path. Inspired by the elements of "non-geometric rough paths" developed in [2] and [3] tree rooted index is a simple description of the Volterra rough path and the controlled Volterra process, and with this description the existence and uniqueness of the solution to rough volterra equations driven by more irregular signals are held.

Subject Added Entry-Topical Term  

Control theory.

Subject Added Entry-Topical Term  

Calculus.

Subject Added Entry-Topical Term  

Decomposition.

Subject Added Entry-Topical Term  

Banach spaces.

Subject Added Entry-Topical Term  

Algebra.

Subject Added Entry-Topical Term  

Inequality.

Subject Added Entry-Topical Term  

Integrals.

Subject Added Entry-Topical Term  

Hilbert space.

Subject Added Entry-Topical Term  

Mathematics.

Subject Added Entry-Topical Term  

Systems science.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 85-01B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:641589