A derivative array approach for linear second order differential-algebraic systems.
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A Massera type criterion for a partial neutral functional differential equation.
Hernández M., Eduardo (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A monotone iterative method for boundary value problems of parametric differential equations.
Liu, Xinzhi, McRae, Farzana A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
A new Green function concept for fourth-order differential equations.
Orucoglu, Kamil (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A note on numerically consistent initial values for high index differential-algebraic equations.
Arévalo, Carmen (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy
Jerzy Tokarzewski (2004)
International Journal of Applied Mathematics and Computer Science
The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization of...
A panorama of geometrical optimal control theory.
M. Delgado-Téllez, Alberto Ibort Latre (2003)
Extracta Mathematicae
A variational approach to implicit ODEs and differential inclusions
Sergio Amat, Pablo Pedregal (2009)
ESAIM: Control, Optimisation and Calculus of Variations
An alternative approach for the analysis and the numerical approximation of ODEs, using a variational framework, is presented. It is based on the natural and elementary idea of minimizing the residual of the differential equation measured in a usual Lp norm. Typical existence results for Cauchy problems can thus be recovered, and finer sets of assumptions for existence are made explicit. We treat, in particular, the cases of an explicit ODE and a differential inclusion. This approach also allows...
Almost periodic solutions to second order neutral differential equations.
Corduneanu, C. (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
An Algebraic Approach to Implicit Evolution Equations
Wha-Suck Lee, Niko Sauer (2015)
Bulletin of the Polish Academy of Sciences. Mathematics
A Banach algebra homomorphism on the convolution algebra of integrable functions is the essence of Kisyński's equivalent formulation of the Hille-Yosida theorem for analytic semigroups. For the study of implicit evolution equations the notion of empathy happens to be more appropriate than that of semigroup. This approach is based upon the intertwining of two families of evolution operators and two families of pseudo-resolvents. In this paper we show that the Kisyński approach can be adapted to empathy...
An algorithm for model reduction in large electric power systems.
Zečević, A.I., Gačić, N. (1998)
Mathematical Problems in Engineering
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2006)
Abstract and Applied Analysis
Application of matrix polynomials to investigation of singular equations.
Bulatov, M.V. (2005)
Lobachevskii Journal of Mathematics
Boundedness and asymptotic stability in the large of solutions of an ordinary differential system .
Venkatesulu, M., Srinivasu, P.D.N. (1992)
Journal of Applied Mathematics and Stochastic Analysis
Characterization of classes of singular linear differential-algebraic equations.
Kunkel, Peter, Mehrmann, Volker (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Combined preorder and postorder traversal algorithm for the analysis of singular systems by Haar wavelets.
Kim, Beom-Soo, Shim, Il-Joo, Lim, Myo-Taeg, Kim, Young-Joong (2008)
Mathematical Problems in Engineering
Comment on the remark by G.A. Kurina on the paper (Müller, 1998)
Peter Müller (2002)
International Journal of Applied Mathematics and Computer Science
Compléments Aux Traités De Kamke Et De Murphy I. Une Généralisation Des Équations Différentielles De Clairaut Et De D'Alembert Transformeé Aux Équations Différentielles Des Types Connus
A. Kapcia (1971)
Publications de l'Institut Mathématique
Compléments aux traités de Kramke et de Murphy. I. Une généralisation des équations différentielles de Clairaut et de d'Alembert transformée aux équations différentielles des types connus.
A. Kapcia (1971)
Publications de l'Institut Mathématique [Elektronische Ressource]
Computing generalized inverse systems using matrix pencil methods
Andras Varga (2001)
International Journal of Applied Mathematics and Computer Science
We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil...
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