Results 41 to 50 of about 253,757 (236)
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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Harmonic solutions to a class of differential-algebraic equations with separated variables [PDF]
, 2011 We study the set of T-periodic solutions of a class of T-periodically perturbed Differential-Algebraic Equations with separated variables. Under suitable hypotheses, these equations are equivalent to separated variables ODEs on a manifold.
Bisconti, Luca
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Extensions of differential representations of SL(2) and tori
, 2011 Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which LDAGs are Galois groups.
Alexey Ovchinnikov +5 more
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Lie-algebraic discretization of differential equations
, 1995 A certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using $sl_2$-algebra based approach, (quasi)-
Smirnov, Yuri, Turbiner, Alexander
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The $16$th Hilbert problem on algebraic limit cycles [PDF]
, 2014 For real planar polynomial differential systems there appeared a simple version of the $16$th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number of algebraic limit cycles of all polynomial vector fields of degree $m ...
Xiang, Zhang
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Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
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Математичні Студії, 2023 The paper deals with the problem of constructing asymptotic solutions for singular perturbed linear differential-algebraic equations with periodic coefficients. The case of multiple roots of a characteristic equation is studied.
S. Radchenko +2 more
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Semigroups Associated with Differential-Algebraic Equations [PDF]
, 2020 We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a $C_{0}$-semigroup with such equations. We determine the right space of initial values and characterise the existence of a $C_{0}$-semigroup in the case of operator pencils with polynomially bounded resolvents.
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Self-adjoint differential-algebraic equations [PDF]
Mathematics of Control, Signals, and Systems, 2013 Oberwolfach Preprints;2011 ...
P. Kunkel, V. Mehrmann, L. Scholz
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Computation, 2021 We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of a class of nonlinear differential equations containing polynomial nonlinearities.
Nikolay K. Vitanov +2 more
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