Results 241 to 250 of about 114,654 (282)

THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION

International Journal of Bifurcation and Chaos, 1999
We prove that the Lyapunov constants for differential equations given by a vector field with a line of discontinuities are quasi-homogeneous polynomials. This property is strongly used to derive the general expression of the Lyapunov constants for two families of discontinuous Liénard differential equations, modulus some unknown coefficients.
Coll, B., Prohens, R., Gasull, A.
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Center-Focus Problem for Discontinuous Planar Differential Equations

International Journal of Bifurcation and Chaos, 2003
We study the center-focus problem as well as the number of limit cycles which bifurcate from a weak focus for several families of planar discontinuous ordinary differential equations. Our computations of the return map near the critical point are performed with a new method based on a suitable decomposition of certain one-forms associated with the ...
Gasull, Armengol, Torregrosa, Joan
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Chaos in Discontinuous Differential Equations

2011
This chapter is devoted to proving chaos for periodically perturbed piecewise smooth ODEs. We study two cases: firstly, when the homoclinic orbit of the unperturbed piecewise smooth ODE transversally crosses the discontinuity surface, and secondly, when a part of homoclinic orbit is sliding on the discontinuity surface.
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Solving Discontinuous Ordinary Differential Equations

1995
In this paper we generalize the basic notations of the Liouville-Ritt-Risch theory of closed-form solutions to discontinuous field extensions. Our aim is to extend the theory of differential fields such that the “classical algorithm” like the Risch structure theorem and the algorithm solving the Risch differential equation can be extended to handle ...
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Stochastic Differential Equations with Discontinuous Drift

2011
The study of interacting particle systems arise in physics in case of spin systems and behavior of systems following Glauber dynamics. They can be modeled with stochastic differential equations in ℝ∞ or in \({\mathbb{R}}^{{\mathbb{Z}}^{d}}\), d>1. One wishes to know if a solution exists and determine its state space.
Leszek Gawarecki, Vidyadhar Mandrekar
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Differential equations with discontinuous non-linearities

Archive for Rational Mechanics and Analysis, 1976
Reference EPFL-ARTICLE-130163doi:10.1007/BF00280142View record in Web of Science Record created on 2008-12-10, modified on 2016-08 ...
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Evolution partial differential equations with discontinuous data

Quarterly of Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Trogdon, Gino Biondini
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Discontinuous ordinary differential equations and stabilization

2017
In the thesis some techniques of discontinuous differential equations and nonsmooth analysis are developed in order to deal with the stabilization problem of nonlinear systems.
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First order discontinuous implicit differential equations with discontinuous boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 1997
The paper deals with implicit boundary value problems \[ f(t,x(t), x'(t))= 0 \] a.e. on \(J=[t_0, t_1]\), \(B(x(t_0), x(t_1))= 0\), in an ordered Banach space \(E\) with regular cone, where \(f: J\times E^2\to E\) and \(B: E^2\to E\) may be discontinuous in each of their variables. The author converts the boundary value problem to a fixed point problem
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DISCONTINUOUS SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS

Bulletin of Osh State University, 2022
Bektur Abdyrahmanovich Azimov, Burkanbek Toktorovich Turdubekov, Ayperi Zhumabaeva   +2 more
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