Stability of Partial Differential EquationWith Time Delay via Spectral Properties

Partial differential equations with time delay arise in many areas of mathematics. Many phenomenas naturally depend not only on the present state but also on some past occurrences. Partial differential equation with time delay will be solved by semigroup approach. In this thesis, we will discuss...

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Main Author: Kusmono, William
Format: Theses
Language:Indonesia
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Online Access:https://digilib.itb.ac.id/gdl/view/33844
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:33844
spelling id-itb.:338442019-01-30T13:46:01ZStability of Partial Differential EquationWith Time Delay via Spectral Properties Kusmono, William Matematika Indonesia Theses C0 semigroup, delay, spectral mapping theorem, critical spectrum INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/33844 Partial differential equations with time delay arise in many areas of mathematics. Many phenomenas naturally depend not only on the present state but also on some past occurrences. Partial differential equation with time delay will be solved by semigroup approach. In this thesis, we will discuss the stability of partial differential equation with time delay by the stability of corresponding semigroup. Semigroup theory, delay equation, spectral mapping theorem, and critical spectrum are required to solve this problem. This thesis is a literature study for investigating the stability of partial differential equation with time delay via spectral properties. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
topic Matematika
spellingShingle Matematika
Kusmono, William
Stability of Partial Differential EquationWith Time Delay via Spectral Properties
description Partial differential equations with time delay arise in many areas of mathematics. Many phenomenas naturally depend not only on the present state but also on some past occurrences. Partial differential equation with time delay will be solved by semigroup approach. In this thesis, we will discuss the stability of partial differential equation with time delay by the stability of corresponding semigroup. Semigroup theory, delay equation, spectral mapping theorem, and critical spectrum are required to solve this problem. This thesis is a literature study for investigating the stability of partial differential equation with time delay via spectral properties.
format Theses
author Kusmono, William
author_facet Kusmono, William
author_sort Kusmono, William
title Stability of Partial Differential EquationWith Time Delay via Spectral Properties
title_short Stability of Partial Differential EquationWith Time Delay via Spectral Properties
title_full Stability of Partial Differential EquationWith Time Delay via Spectral Properties
title_fullStr Stability of Partial Differential EquationWith Time Delay via Spectral Properties
title_full_unstemmed Stability of Partial Differential EquationWith Time Delay via Spectral Properties
title_sort stability of partial differential equationwith time delay via spectral properties
url https://digilib.itb.ac.id/gdl/view/33844
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