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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.…
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Keywords:
integral equations;
equations integro;
integro differential;
nonlinear integral ... See more keywords
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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…
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Keywords:
integral coupling;
synchronization;
oscillators nonlinear;
networked oscillators ... See more keywords
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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…
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Keywords:
generalized solvability;
integral equations;
variable nonlinear;
solvability variable ... See more keywords
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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…
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Keywords:
type nonlinear;
mellin type;
integral operators;
summability mellin ... See more keywords
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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…
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Keywords:
system;
time;
integral resonant;
resonant controller ... See more keywords
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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…
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Keywords:
ameliorated model;
integral ameliorated;
time;
model ... See more keywords
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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…
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Keywords:
effect;
ocean wave;
new nonlinear;
nonlinear integral ... See more keywords
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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…
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Keywords:
existence uniqueness;
integral equation;
uniqueness solution;
equation ... See more keywords
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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…
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Keywords:
generalized metric;
integral equations;
solution approach;
nonlinear integral ... See more keywords
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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…
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Keywords:
system nonlinear;
solving system;
coincidence;
coincidence points ... See more keywords
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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 ) =…
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Keywords:
negative power;
positive solutions;
existence positive;
nonlinear integral ... See more keywords