Results 31 to 40 of about 114,654 (282)

Estimations of a Differential Operator in Spectral Parameter Problems for Elliptic Equations with Discontinuous Nonlinearities

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary.
D. K. Potapov
doaj   +3 more sources

Theory of differential inclusions and its application in mechanics

open access: yes, 2018
The following chapter deals with systems of differential equations with discontinuous right-hand sides. The key question is how to define the solutions of such systems.
A Andronov   +61 more
core   +1 more source

Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions [PDF]

open access: yes, 2010
In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order.
Aubin J.-P.   +5 more
core   +1 more source

Heteroclinic solutions in singularly perturbed discontinuous differential equations: a non-generic case

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation
Flaviano Battelli   +2 more
doaj   +1 more source

The Existence of Strong Solutions for a Class of Stochastic Differential Equations

open access: yesInternational Journal of Differential Equations, 2018
In this paper, we will consider the existence of a strong solution for stochastic differential equations with discontinuous drift coefficients. More precisely, we study a class of stochastic differential equations when the drift coefficients are an ...
Junfei Zhang
doaj   +1 more source

Some new generalized retarded inequalities for discontinuous functions and their applications

open access: yesJournal of Inequalities and Applications, 2016
In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential equations and impulsive integral equations.
Zhaowen Zheng, Xin Gao, Jing Shao
doaj   +1 more source

The discontinuous solutions of Lame�s equations for a conical defect [PDF]

open access: yesFracture and Structural Integrity, 2018
In this article the discontinuous solutions of Lame s equations are constructed for the case of a conical defect. Under a defect one considers a part of a surface (mathematical cut on the surface) when passing through which function and its normal ...
O. Reut, N. Vaysfeld
doaj   +3 more sources

Method of Limiting Differential Inclusions and Asymptotic Behavior of Systems with Relay Controls

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
In this paper, problems of asymptotic behavior of non-autonomous controlled systems with a matrix of derivatives and the feedbacks of relay type are considered.
I. A. Finogenko
doaj   +1 more source

Positive Solutions for Discontinuous Systems via a Multivalued Vector Version of Krasnosel’skiĭ’s Fixed Point Theorem in Cones

open access: yesMathematics, 2019
We establish the existence of positive solutions for systems of second−order differential equations with discontinuous nonlinear terms. To this aim, we give a multivalued vector version of Krasnosel’skiĭ’s fixed point theorem in cones ...
Rodrigo López Pouso   +2 more
doaj   +1 more source

Local cluster aggregation models of explosive percolation

open access: yes, 2011
We introduce perhaps the simplest models of graph evolution with choice that demonstrate discontinuous percolation transitions and can be analyzed via mathematical evolution equations. These models are local, in the sense that at each step of the process
D. Stauffer   +2 more
core   +1 more source

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