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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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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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Stability radius of second order linear structured differential inclusions
For arbitrary second order square matrices $A, B, C$; $A$ Hurwitz stable, the minimum positive value $R$ for which the differential inclusion $$\dot{x}\in F_{R}(x):=\{(A+B\Delta C)x, \ \Delta \in \mathbb{R}^{2\times 2},\ \|\Delta \| \le R \}$$ fails to ...
Henry González
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The authors consider families of non-autonomous partial differential inclusions (multivalued) with \(p\)-Laplacians with variable coefficients as differential operators, large diffusions and driven by nonlinearities of Heaviside type, i.e., corresponding to discontinuous nonlinear terms and with Neumann boundary conditions.
Simsen, Jacson +2 more
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This paper presents a semi-analytical model for transient heat conduction in a composite material reinforced with small spherical inclusions. Essential to the derivation of the model is the assumption that the size of the inclusions is much smaller than ...
A. Dobri, T. D. Papathanasiou
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Existence of weak solutions to stochastic evolution inclusions [PDF]
We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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Differential inclusions, non-absolutely convergent integrals and the first theorem of complex analysis [PDF]
In the theory of complex valued functions of a complex variable arguably the first striking theorem is that pointwise differentiability implies $C^{\infty}$ regularity.
Lorent, Andrew
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Andrzej Lasota's selected results [PDF]
In this article we recall Andrzej Lasota's selected results which either indicated new directions of research, or layed the foundations for new approaches, or solved interesting problems. The area of mathematical interests of Professor Andrzej Lasota was
Józef Myjak
doaj
Characterizations of safety in hybrid inclusions via barrier functions [PDF]
This paper investigates characterizations of safety in terms of barrier functions for hybrid systems modeled by hybrid inclusions. After introducing an adequate definition of safety for hybrid inclusions, sufficient conditions using continuously ...
Persidskii K. P. +3 more
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Second-order ordinary differential equations and inclusions with a new kind of integral and multi-strip boundary conditions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad, Bashir +3 more
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