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A coupled system of nonlinear self-adjoint second-order ordinary differential inclusions supplemented with nonlocal nonseparated coupled integral boundary conditions on an arbitrary domain is studied. The existence results for convex and nonconvex valued
Bashir Ahmad +3 more
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On the averaging of differential inclusions with maxima [PDF]
We apply the averaging method to ordinary differential inclusions with maxima perturbed by a small parameter and illustrate the method by some examples.
Bachir Bar
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In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam +4 more
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
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Installation effect of rigid inclusions in soft clay improvement
Rigid Inclusions have been increasingly used as a successful technique for improving soft clay deposits. This technique was first introduced by Menard in the 1990s and is known commercially as Controlled Modulus Columns (CMC’s) [1]. Unlike ordinary piles
Marco N. Samy +4 more
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On the enhancement of thermal transport of Kerosene oil mixed TiO2 and SiO2 across Riga wedge
Efficient thermal transportation in compact heat density gadgets is a prevailing issue to be addressed. The flow of a mono nanofluid (SiO2/Kerosene oil) and hybrid nanofluid (TiO2 + SiO2/Kerosene oil) is studied in context of Riga wedge.
Asmat Ullah Yahya +7 more
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A Discontinuous ODE Model of the Glacial Cycles with Diffusive Heat Transport
We present a new discontinuous ordinary differential equation (ODE) model of the glacial cycles. Model trajectories flip from a glacial to an interglacial state, and vice versa, via a switching mechanism motivated by ice sheet mass balance principles ...
James Walsh, Esther Widiasih
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Monotone increasing multi-valued condensing random operators and random differential inclusions
In this paper, some random fixed point theorems for monotone increasing, condensing and closed multi-valued random operators are proved. They are then applied to first order ordinary nonconvex random differential inclusions for proving the existence of ...
Bapurao Dhage +2 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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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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