Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...

We study the asymptotic behaviour of individual orbits T(·)x of a uniformly bounded C0-semigruop {T(t)}t≥ 0 with generator A in terms of the singularities of the local resolvent (λ -A)-1x on the ...

Let $f\colon {\Bbb R}_{+}\rightarrow X$ be a bounded, strongly measurable function with values in a Banach space X, and let iE be the singular set of the Laplace ...

This course covers differential equation derivation to model systems, solving these equations through Laplace transforms to determine transfer functions for simple mechanical, electrical, and ...