Results 1 to 10 of about 114,654 (282)

First-Order Singular and Discontinuous Differential Equations [PDF]

Boundary Value Problems, 2009
We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonlinearities.
López Pouso Rodrigo, Biles DanielC
doaj   +5 more sources

Poincaré Map for Discontinuous Fractional Differential Equations

Mathematics, 2022
We work with a perturbed fractional differential equation with discontinuous right-hand sides where a discontinuity function crosses a discontinuity boundary transversally.
Ivana Eliašová, Michal Fečkan
doaj   +2 more sources

Lyapunov Instability for Discontinuous Differential Equations

Intermaths, 2021
The present work studies the Lyapunov instability for discontinuous differential equations through the use of the notion of Carathéodory solution to differential equations.
Iguer Luis Domini dos Santos
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Solutions of a Class of Switch Dynamical Systems [PDF]

Entropy
In this paper, the solutions of a class of switch dynamical systems are investigated. The right-hand side of the underlying equations is discontinuous with respect to the state variable.
Marius-F. Danca
doaj   +2 more sources

Solving Ordinary Differential Equations with Discontinuities [PDF]

ACM Transactions on Mathematical Software, 1984
Automatic codes for differential equations can be inadequate when the solutions have discontinuities. If the user provides an external indicator for discontinuities (e.g., a switching function whose sign changes indicate discontinuities), a code can be more efficient.
Gear, C. W., Østerby, Ole
openaire   +6 more sources

On the Boundedness of Solutions of Discontinuous Differential Equations

Trends in Computational and Applied Mathematics, 2021
By using the notion of Carathéodory  solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations.
Iguer Santos
doaj   +1 more source

A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors.
U.K. Koilyshov, K.A. Beisenbaeva, S.D. Zhapparova   +2 more
doaj   +3 more sources

Discontinuous Galerkin methods for ordinary differential equations [PDF]

Mathematics of Computation, 1981
A class of Galerkin methods derived from discontinuous piecewise polynomial spaces is analyzed. For polynomials of degree k, these methods lead to a family of one-step schemes generating approximations up to order 2 k + 2 2k + 2 for the solution of an ordinary differential equation.
Delfour, M., Hager, W., Trochu, F.
openaire   +1 more source

Stability of Solutions to Systems of Nonlinear Differential Equations with Discontinuous Right-Hand Sides: Applications to Hopfield Artificial Neural Networks

Mathematics, 2022
In this paper, we study the stability of solutions to systems of differential equations with discontinuous right-hand sides. We have investigated nonlinear and linear equations.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
doaj   +1 more source

An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Axioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
doaj   +1 more source