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This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Kottakkaran Sooppy Nisar +2 more
exaly +3 more sources
An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators [PDF]
This article focuses on the approximate controllability of impulsive neutral stochastic integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point approaches, and semigroup theory to achieve the article's main results ...
Yong-Ki Ma +4 more
doaj +2 more sources
The response of a compliant surface in a turbulent boundary layer forced by a dynamic roughness is studied using experiments and resolvent analysis. Water tunnel experiments are carried out at a friction Reynolds number of Reτ≈410, with flow and surface ...
David P. Huynh +2 more
doaj +1 more source
A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots
This paper presents a general analysis of all the quartic equations with real coefficients and multiple roots; this analysis revealed some unknown formulae to solve each kind of these equations and some precisions about the relation between these ones ...
Mauricio Chávez-Pichardo +4 more
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On generalized Yosida inclusion problem with application
Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
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In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo +4 more
doaj +1 more source
Resolvent analysis of turbulent channel flow with manipulated mean velocity profile
Using the resolvent analysis, we investigate how the near-wall mode primarily responsible for the friction drag is amplified or suppressed depending on the shape of the mean velocity profile of a turbulent channel flow.
Riko UEKUSA +3 more
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Spectral theory of C-symmetric non-selfadjoint differential operators of order 2n
We continue the spectral analysis of differential operators with complex coefficients, extending some results for Sturm-Liouville operators to higher order operators.
Horst Behncke, Don Hinton
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Convergence Analysis for Generalized Yosida Inclusion Problem with Applications
A new generalized Yosida inclusion problem, involving A-relaxed co-accretive mapping, is introduced. The resolvent and associated generalized Yosida approximation operator is construed and a few of its characteristics are discussed.
Mohammad Akram +4 more
doaj +1 more source
Abstract degenerate Volterra inclusions in locally convex spaces
In this paper, we analyze the abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces by using multivalued linear operators and vector-valued Laplace transform.
Marko Kostic
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