Results 21 to 30 of about 243,415 (192)
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
, 2009 A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
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Generic planar algebraic vector fields are disintegrated
, 2020 In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
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Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
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Variations for Some Painlev\'e Equations [PDF]
, 2019 This paper first discusses irreducibility of a Painlev\'e equation $P$. We explain how the Painlev\'e property is helpful for the computation of special classical and algebraic solutions.
Acosta-Humánez, Primitivo B. +2 more
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Self-adjoint differential-algebraic equations [PDF]
Mathematics of Control, Signals, and Systems, 2013 Oberwolfach Preprints;2011 ...
Kunkel, Peter +2 more
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On differential–algebraic equations in infinite dimensions [PDF]
Journal of Differential Equations, 2019 We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical continuously differential solutions for the associated DAE.
Trostorff, Sascha, Waurick, Marcus
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Converting DAE models to ODE models: application to reactive Rayleigh distillation [PDF]
, 2013 This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
Alloula, Karim +3 more
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Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation
, 2011 We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov +6 more
core +1 more source
Rainich theory for type D aligned Einstein-Maxwell solutions [PDF]
, 2007 The original Rainich theory for the non-null Einstein-Maxwell solutions consists of a set of algebraic conditions and the Rainich (differential) equation.
B. Coll +21 more
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On the History of Differential-Algebraic Equations [PDF]
, 2017 The present article takes an off-the-wall approach to the history of Differential-Algebraic Equations and uses personal side trips and memories of conferences, workshops, and summer schools to highlight some of the milestones in the field. Emphasis is in particular placed on the application fields that set the ball rolling and on the development of ...
openaire +4 more sources