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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| 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 |
| Summary: | 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. |
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