Purchase Solution

Perturbed Linear System

Not what you're looking for?

Ask Custom Question

Consider the perturbed linear system

x' = (A + eB(t))x, x is an element of R^n,

where A is a constant matrix, B is a bounded continuous matrix valued function, and e is a small parameter. Assume that all eigenvalues of A have non-zero real part.

1) Show that the only bounded solution of the system is 0.

2) If A has an eigenvalue with zero real part, then is the above still true?

Purchase this Solution

Solution Summary

This is a proof regarding the bounded solution of a perturbed linear system. The solution is enclosed within a Word document.

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.