Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

We assume that differential-algebraic equations (DAEs) and their more abstract versions in
infinite-dimensional spaces comprise great potential for future mathematical modeling. To …

This paper is concerned with obtaining the approximate solution of a class of semi-explicit
Integral Algebraic Equations (IAEs) of index-2. A Jacobi collocation method including the …

Coupled Systems of Differential Algebraic and Partial Differential Equations in Circuit and
Device Simulation Page 1 Coupled Systems of Differential Algebraic and Partial Differential …

Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled
system of differential-algebraic equations (DAEs). In our case, the MQS device is described …

Classical stability properties of solutions that are well-known for ordinary differential
equations (ODEs) are generalized to differential-algebraic equations (DAEs). A new test …

Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential
equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using …

Differential-algebraic equations (DAEs) arise in a variety of applications. Therefore their
analysis and numerical treatment plays an important role in modern mathematics. This …

Today's most commonly used circuit models increasingly tend to lose their validity in circuit
simulation due to rapid technological developments, miniaturization and increased …

We develop a stability theory for time-varying linear differential algebraic equations (DAEs).
Well-known stability concepts of ordinary differential equations are generalised to DAEs and …