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Displaying 41 – 60 of 76

Linear distributional differential equations of the second order

Milan Tvrdý (1994)

Mathematica Bohemica

The paper deals with the linear differential equation (0.1) ${(p u^{'})}^{'} + q^{'} u = f^{''}$ with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).

Linear fractionally damped oscillator.

Naber, Mark (2010)

International Journal of Differential Equations

Linear impulsive dynamic systems on time scales.

Lupulescu, Vasile, Zada, Akbar (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Linear ODEs and $𝒟$ -modules, solving and decomposing equations using symmetry methods.

Jensen, Cathrine V. (2005)

Lobachevskii Journal of Mathematics

Linear positive operators and their applications to differential equations

Ivana Horová (1984)

Archivum Mathematicum

Linear problems for systems of difference equations

Zdzisław Denkowski (1970)

Annales Polonici Mathematici

Linear stochastic differential-algebraic equations with constant coefficients.

Alabert, Aureli, Ferrante, Marco (2006)

Electronic Communications in Probability [electronic only]

Lineare zweidimensionale Räume von stetigen Funktionen mit stetigen ersten Ableitungen

Jitka Kojecká (1974)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Linearisation of second-order differential equations.

Eduardo Martínez (1996)

Extracta Mathematicae

Given a second order differential equation on a manifold we find necessary and sufficient conditions for the existence of a coordinate system in which the system is linear. The main tool to be used is a linear connection defined by the system of differential equations.

Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations

Vlajko Lj. Kocić (1982)

Publications de l'Institut Mathématique

Linearization techniques for $See PDF$ -control problems and dynamic programming principles in classical and $See PDF$ -control problems

Dan Goreac, Oana-Silvia Serea (2012)

ESAIM: Control, Optimisation and Calculus of Variations

The aim of the paper is to provide a linearization approach to the $See PDF$ -control problems. We begin by proving a semigroup-type behaviour of the set of constraints appearing in the linearized formulation of (standard) control problems. As a byproduct we obtain a linear formulation of the dynamic programming principle. Then, we use the $See PDF$ approach and the associated linear formulations. This seems to be the most appropriate tool for treating $See PDF$ problems in continuous and lower semicontinuous setting.

Linearization techniques for $𝕃^{\infty}$ See PDF-control problems and dynamic programming principles in classical and $𝕃^{\infty}$ See PDF-control problems

Dan Goreac, Oana-Silvia Serea (2012)

ESAIM: Control, Optimisation and Calculus of Variations

The aim of the paper is to provide a linearization approach to the $𝕃^{\infty}$ See PDF-control problems. We begin by proving a semigroup-type behaviour of the set of constraints appearing in the linearized formulation of (standard) control problems. As a byproduct we obtain a linear formulation of the dynamic programming principle. Then, we use the $𝕃^{p}$ See PDF approach and the associated linear formulations. This seems to be the most appropriate tool for treating $𝕃^{\infty}$ See PDF problems in continuous and lower semicontinuous...

Linearly Implicit Extrapolation Methods for Differential-Algebraic Systems.

C. Lubich (1987)

Numerische Mathematik

Lineárne homogénne diferenciálne rovnice druhého rádu rýdzo diskonjugované vzhľadom na derivácie

Rudolf Blaško, Miloš Háčik (1972)

Matematický časopis

Liouvillian first integrals of second order polynomial differential equations.

Christopher, Colin (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Lipschitz regularity and approximate differentiability of the Diperna-Lions flow

Luigi Ambrosio, Myriam Lecumberry, Stefania Maniglia (2005)

Rendiconti del Seminario Matematico della Università di Padova

Lipschitzian generalized differential equations

C. J. Himmelberg, F. S. Van Vleck (1972)

Rendiconti del Seminario Matematico della Università di Padova

Local and global invariants of linear differential-algebraic equations and their relation.

Kunkel, Peter, Mehrmann, Volker (1996)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Local equivalence of some maximally symmetric $(2, 3, 5)$ -distributions II

Matthew Randall (2025)

Archivum Mathematicum

We show the change of coordinates that maps the maximally symmetric $(2, 3, 5)$ -distribution given by solutions to the $k = \frac{2}{3}$ and $k = \frac{3}{2}$ generalised Chazy equation to the flat Cartan distribution. This establishes the local equivalence between the maximally symmetric $k = \frac{2}{3}$ and $k = \frac{3}{2}$ generalised Chazy distribution and the flat Cartan or Hilbert-Cartan distribution. We give the set of vector fields parametrised by solutions to the $k = \frac{2}{3}$ and $k = \frac{3}{2}$ generalised Chazy equation and the corresponding Ricci-flat conformal scale that bracket-generate...

Local invariance via comparison functions.

Carja, Ovidiu, Necula, Mihai, Vrabie, Ioan I. (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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