Quadratic convergence of monotone iterations of differential-algebraic equations
Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations
We study the vibration of lumped parameter systems whose constituents are described through novel constitutive relations, namely implicit relations between the forces acting on the system and appropriate kinematical variables such as the displacement and velocity of the constituent. In the classical approach constitutive expressions are provided for the force in terms of appropriate kinematical variables, which when substituted into the balance of linear momentum leads to a single governing ordinary...
Sobolev gradients for differential algebraic equations.
Stability properties of differential-algebraic equations and Spin-stabilized discretizations.
Strang-type preconditioners for solving systems of ODEs by boundary value methods.
Sur l'application d'un principe de la théorie des fonctions à des recherches purement géométriques
Systémy algebro-diferenciálních rovnic
The best argument for the parametric continuation of solutions of differential-algebraic equations.
The method of normal splines for linear implicit differential equations of second order.
The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
Transformation methods for differential-algebraic equations
Ueber die Ableitung der singulären Lösungen eines Systems gewöhnlicher Differentialgleichungen aus den Differentialgleichungen selbst.
Ueber die allgemeinste Flächenschaar zweiten Grades, die mit irgend zwei andern Flächenschaaren ein orthogonales System bildet.
Ueber die Erweiterung des Abel'schen Theorems auf Integrale beliebiger Differentialgleichungen
Исследование и решение вырожденных систем обыкновенных дифференциальных уравнений с помощью замен переменных.
К теории вырожденных систем обыкновенных дифференциальных уравнений.
О нётеровом индексе линейных алгебро-дифференциальных систем. I