Synchronization of networked oscillators under nonlinear integral coupling
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.12.091
Abstract: In this paper, we consider synchronization of dynamical systems interconnected via nonlinear integral coupling. Integral coupling allows one to achieve synchronization with lower interaction levels (coupling gains) than with linear coupling. Previous results on this… read more here.
Keywords: integral coupling; synchronization; oscillators nonlinear; networked oscillators ... See more keywords
On generalized solvability of variable nonlinear integral equations on cones
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DOI: 10.1016/j.jmaa.2021.125352
Abstract: Abstract We study the solvability of multidimensional nonlinear integral equations whose operator is a sum of the Nemytsky and Urysohn type operators, and the desired solution belongs to a cone in a space of summable… read more here.
Keywords: generalized solvability; integral equations; variable nonlinear; solvability variable ... See more keywords
Summability on Mellin-type nonlinear integral operators
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DOI: 10.1080/10652469.2019.1594209
Abstract: ABSTRACT In this study, approximation properties of the Mellin-type nonlinear integral operators defined on multivariate functions are investigated. In order to get more general results than the classical aspects, we mainly use the summability methods… read more here.
Keywords: type nonlinear; mellin type; integral operators; summability mellin ... See more keywords
Time-Delayed Nonlinear Integral Resonant Controller to Eliminate the Nonlinear Oscillations of a Parametrically Excited System
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DOI: 10.1109/access.2021.3081397
Abstract: In this work, a nonlinear integral resonant controller is utilized for the first time to suppress the principal parametric excitation of a nonlinear dynamical system. The whole system is modeled as a second-order nonlinear differential… read more here.
Keywords: system; time; integral resonant; resonant controller ... See more keywords
On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation
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DOI: 10.1134/s1064562419050247
Abstract: A nonlinear integral equation arising in the spatial model of biological communities developed by Austrian scientists Ulf Dieckmann and Richard Law is studied. Sufficient conditions for the existence of a solution of this equation (a… read more here.
Keywords: existence uniqueness; integral equation; uniqueness solution; equation ... See more keywords
A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
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DOI: 10.1186/s13660-020-02477-8
Abstract: This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C -type functions in partially ordered complete metric-like space (for short, POCML space). Our… read more here.
Keywords: system nonlinear; solving system; coincidence; coincidence points ... See more keywords
Existence of positive solutions to negative power nonlinear integral equations with weights
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DOI: 10.1186/s13661-020-01380-x
Abstract: This paper is devoted to the existence and non-existence of positive solutions to the following negative power nonlinear integral equation related to the sharp reversed Hardy–Littlewood–Sobolev inequality: f q − 1 ( x ) =… read more here.
Keywords: negative power; positive solutions; existence positive; nonlinear integral ... See more keywords
How to Obtain Global Convergence Domains via Newton’s Method for Nonlinear Integral Equations
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DOI: 10.3390/math7060553
Abstract: We use the theoretical significance of Newton’s method to draw conclusions about the existence and uniqueness of solution of a particular type of nonlinear integral equations of Fredholm. In addition, we obtain a domain of… read more here.
Keywords: integral equations; newton; newton method; nonlinear integral ... See more keywords
On retarded nonlinear integral inequalities of Gronwall and applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2019-13-73
Abstract: By some new analysis techniques, we generalize the results presented by Pachpatte in [8] to nonlinear retarded inequalities, and also investigate some new forms. Some examples are presented to illustrate our results at the end.… read more here.
Keywords: nonlinear integral; integral inequalities; gronwall applications; retarded nonlinear ... See more keywords