Results 11 to 20 of about 25,351 (238)

Semi-Implicit Euler Schemes for Ordinary Differential Inclusions [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2014
Two semi-implicit Euler schemes for differential inclusions are proposed and analyzed in depth. An error analysis shows that both semi-implicit schemes inherit favorable stability properties from the differential inclusion. Their performance is considerably better than that of the implicit Euler scheme, because instead of implicit inclusions only ...
openaire   +2 more sources

Nonlinear second-order multivalued boundary value problems [PDF]

open access: yes, 2003
In this paper we study nonlinear second-order differential inclusions involving the ordinary vector $p$-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions.
Gasinski, Leszek   +1 more
core   +2 more sources

On ordinary differential inclusions with mixed boundary conditions

open access: yesDifferential and Integral Equations, 2017
11 ...
MARRAS, MONICA   +2 more
openaire   +5 more sources

Accurate Approximating Solution of the Differential Inclusion Based on the Ordinary Differential Equation

open access: yesUkrainian Mathematical Journal, 2021
UDC 517.9 Many problems in applied mathematics can be transformed and described by the differential inclusion involving which is a normal cone to a closed convex set at The Cauchy problem of this inclusion is studied in the paper. Since the change of leads to the change of solving the inclusion becomes extremely complicated.
openaire   +2 more sources

Discrete Approximations of a Controlled Sweeping Process [PDF]

open access: yes, 2014
The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich   +3 more
core   +1 more source

On existence of solution in $\mathbb R^n$ of stochastic differential inclusions with current velocities in the presence of approximations with uniformly bounded first partial derivatives

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
Notion of mean derivatives was introduced by Edward Nelson for the needs of stochastic mechanics (a version of quantum mechanics). Nelson introduced forward and backward mean derivatives while only their half-sum, symmetric mean derivative called current
Alla V Makarova   +2 more
doaj   +1 more source

Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions [PDF]

open access: yesJournal of Differential Equations, 2007
Let \(F : [a,b]\times\mathbb R^n \to\mathbb R^n\) be an integrably bounded multivalued map with convex, compact values such that \(t \mapsto F(t,x)\) is measurable for every \(x\), and \(x \mapsto F(t,x)\) is continuous for every \(t\). Using the Baire category method, the authors show that if the problem \[ x'(t) \in \operatorname{int}F(t,x(t)),\quad ...
DE BLASI, FRANCESCO SAVERIO   +1 more
openaire   +4 more sources

A Differential Algebraic Method to Approximate Nonsmooth Mechanical Systems by Ordinary Differential Equations

open access: yesJournal of Applied Mathematics, 2013
Nonsmooth mechanical systems, which are mechanical systems involving dry friction and rigid unilateral contact, are usually described as differential inclusions (DIs), that is, differential equations involving discontinuities.
Xiaogang Xiong   +2 more
doaj   +1 more source

Differential operators, pullbacks, and families of automorphic forms [PDF]

open access: yes, 2015
This paper has two main parts. First, we construct certain differential operators, which generalize operators studied by G. Shimura. Then, as an application of some of these differential operators, we construct certain p-adic families of automorphic ...
Eischen, Ellen
core   +1 more source

Coherent Amplification of Optical Pulses in Metamaterials [PDF]

open access: yes, 2009
In this paper we theoretically study propagation of steady state ultrashort pulse in dissipative medium. We considered two cases (i) medium consists of lossy metallic nanostructures embedded into a gain material and (ii) the gain material is embedded ...
Gabitov, Ildar R.   +2 more
core   +1 more source

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