6 papers
Evolutionary boundary delay equations
Bernhard Aigner
Recent well-posedness results for evolutionary partial differential equations with state-dependent inhomogeneity are extended to a larger problem class incorporating nonautonomous…
Nonautonomous systems of evolution inclusions
Bernhard Aigner, Jacson Simsen, Marcus Waurick
We prove the existence of global solutions for some coupled systems of partially nonautonomous evolution inclusions comprised of a Cauchy problem with a compact resolvent semigroup…
Evolutionary equations with state-dependent delay
Bernhard Aigner, Marcus Waurick
We extend a contraction mapping argument for ordinary state-dependent delay differential equations to evolutionary partial differential equations in the sense of R. Picard, that is…
Well-posedness and stability of the Lagrange representation of the n-D wave equation via boundary triples
Bernhard Aigner, Nathanael Skrepek
We study the Lagrange representation of the wave equation with generalized Laplacian . We allow the coefficients -- the Young modulus and the densi…
A quick guide to ordinary state-dependent delay differential equations
Bernhard Aigner, Marcus Waurick
We review -well-posedness for initial value problems of ordinary differential equations with state-dependent right-hand side. We streamline known approaches to infer existen…
A simple way to well-posedness in of a delay differential equation from cell biology
Bernhard Aigner, Marcus Waurick
We present an application of recent well-posedness results in the theory of delay differential equations for ordinary differential equations arXiv:2308.04730 to a generalized popul…