Nodally exact Ritz discretizations of 1D diffusion–absorption and Helmholtz equations by variational FIC and modified equation methods [PDF]
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-005-0011-zThis article presents the first application of the Finite Calculus (FIC) in a Ritz-FEM variational framework.
Felippa, Carlos +1 more
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Extremal Solutions of Functional Differential Inclusions
Let \(X\) be a separable Banach space; \({\mathcal K}\subset X\) be a cone and \(v: [-\tau,a]\to X\) be a solution of a problem \(\dot v(t)\in F(t,v_ t)+{\mathcal K}\), \(t\in [0,a]\); \(v_ 0\geq\varphi\), where \(F\) is a Carathéodory type multifunction with convex closed values satisfying the Ambrosetti type regularity condition. The viability result
Hu, S.C. +2 more
openaire +2 more sources
Analysis of a hybrid integro-differential inclusion
Our main objectives in this paper are to investigate the existence of the solutions for an integro-differential inclusion of second order with hybrid nonlocal boundary value conditions.
Ahmed El-Sayed +2 more
doaj +1 more source
On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
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Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions [PDF]
Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions.
I.H. Kaddoura, Sh.M. Al-Issa, H. Hamzae
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Optimal control of the sweeping process over polyhedral controlled sets [PDF]
The paper addresses a new class of optimal control problems governed by the dissipative and discontinuous differential inclusion of the sweeping/Moreau process while using controls to determine the best shape of moving convex polyhedra in order to ...
Colombo, Giovanni +3 more
core +3 more sources
We consider an optimal control problem for a differential inclusion of the Carathéodory type affine with respect to the control with a coercive cost functional on a semiaxis and with fast oscillating time-dependent coefficients.
Sergey Dashkovskiy +3 more
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Lyapunov Functions for Homogeneous Differential Inclusions
Abstract This paper provides a construction method of a smooth homogeneous Lyapunov function associated with a discontinuous homogeneous system, which is locally asymptotically stable. First, we propose a new definition of homogeneous differential inclusion.
Hisakazu Nakamura +2 more
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The contribution of Alu exons to the human proteome. [PDF]
BackgroundAlu elements are major contributors to lineage-specific new exons in primate and human genomes. Recent studies indicate that some Alu exons have high transcript inclusion levels or tissue-specific splicing profiles, and may play important ...
Jiang, Peng +7 more
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Steady heat conduction of material with coated inclusion in the case of imperfect contact
We discuss a potential steady heat conduction for composites with the coated cylindrical inclusion under an imperfect contact condition. We rewrite equivalently the considered problem to a conjugation problem for analytic functions which is reduced then ...
Paweł Drygas
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