Results 31 to 40 of about 114,654 (282)
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
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Theory of differential inclusions and its application in mechanics
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
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Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions [PDF]
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
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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
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The Existence of Strong Solutions for a Class of Stochastic Differential Equations
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
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Some new generalized retarded inequalities for discontinuous functions and their applications
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
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The discontinuous solutions of Lame�s equations for a conical defect [PDF]
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
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Method of Limiting Differential Inclusions and Asymptotic Behavior of Systems with Relay Controls
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
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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
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Local cluster aggregation models of explosive percolation
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
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