Results 11 to 20 of about 25,351 (238)
Semi-Implicit Euler Schemes for Ordinary Differential Inclusions [PDF]
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 ...
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Nonlinear second-order multivalued boundary value problems [PDF]
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
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On ordinary differential inclusions with mixed boundary conditions
11 ...
MARRAS, MONICA +2 more
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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.
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Discrete Approximations of a Controlled Sweeping Process [PDF]
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
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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
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Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions [PDF]
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
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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
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Differential operators, pullbacks, and families of automorphic forms [PDF]
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
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Coherent Amplification of Optical Pulses in Metamaterials [PDF]
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
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