Articles with "nonlinear integral" as a keyword



On the Ulam stabilities of nonlinear integral equations and integro‐differential equations

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Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.9800

Abstract: In this research, two systems of nonlinear Volterra integral equation and Volterra integro‐differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval.… read more here.

Keywords: integral equations; equations integro; integro differential; nonlinear integral ... See more keywords

Synchronization of networked oscillators under nonlinear integral coupling

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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
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On generalized solvability of variable nonlinear integral equations on cones

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Published in 2021 at "Journal of Mathematical Analysis and Applications"

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
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Summability on Mellin-type nonlinear integral operators

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Published in 2019 at "Integral Transforms and Special Functions"

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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Published in 2021 at "IEEE Access"

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

Nonlinear Integral-Ameliorated Model for Dynamic Convex Optimization with Perturbance Considered

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Published in 2025 at "IEEE/CAA Journal of Automatica Sinica"

DOI: 10.1109/jas.2024.124788

Abstract: This work presents a nonlinear integral-ameliorated model for handling dynamic optimization problems with affine constraints. They pose a challenge as their optimal solutions evolve with time. Traditional iteration-based methods that exactly solve the problem at… read more here.

Keywords: ameliorated model; integral ameliorated; time; model ... See more keywords

A New Nonlinear Integral Transform Relating Ocean Wave Spectra to Phase Image Spectra of an Interferometric Radar Altimeter at Low Incidence Angle

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Published in 2025 at "IEEE Transactions on Geoscience and Remote Sensing"

DOI: 10.1109/tgrs.2024.3516314

Abstract: Ocean waves can either be the target of interferometric radar altimeter (IRA) observations or may affect observations of mesoscale and submesoscale ocean dynamic phenomena. Due to the low incidence angle of the IRA, in addition… read more here.

Keywords: effect; ocean wave; new nonlinear; nonlinear integral ... See more keywords
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On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation

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Published in 2019 at "Doklady Mathematics"

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 Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces

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Published in 2024 at "Journal of Mathematics"

DOI: 10.1155/2024/8847058

Abstract: In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example… read more here.

Keywords: generalized metric; integral equations; solution approach; nonlinear integral ... See more keywords

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

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Published in 2020 at "Journal of Inequalities and Applications"

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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Published in 2020 at "Boundary Value Problems"

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