A note on the solvability of the nonlinear wave equation
Journal of Numerical Analysis and Approximation Theory, 2004 New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the ...
Radu Precup
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New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System
Journal of Mathematics, 2022 This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
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Controllability of nonlinear stochastic neutral fractional dynamical systems [PDF]
, 2017 In this paper, we obtain an equivalent nonlinear integral equation to the stochastic neutral fractional system with bounded operator. Using the integral equation, the sufficient conditions for ensuring the complete controllability of the stochastic ...
Trujillo, Juan J. J. +2 more
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Nonlinear Spectrum and Fixed Point Index for a Class of Decomposable Operators
Mathematics, 2021 We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra.
Shugui Kang, Yanlei Zhang, Wenying Feng
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Positive solutions for a system of fractional differential equations with p-Laplacian operator and multi-point boundary conditions [PDF]
, 2018 We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain ...
Luca, Rodica
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Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new
Özge Özalp Güller +2 more
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Relations entre Psi_B et quelques représentations temps-fréquence [PDF]
, 2010 Psi_B operator is an energy operator that measures the interactions between two complex signals. In this letter, new properties of Psi_B operator are presented.
BOUDRAA, Abdel-Ouahab
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Transfer entropy and causal price spillovers between core and Southeast European electricity markets
Academia Green EnergyIntroduction: This study examines the causal dynamics of electricity market integration and price differentials across seven European markets—Austria, Bulgaria, Greece, Hungary, Italy (South), Romania, and Slovenia—using the nonlinear ...
George P. Papaioannou +2 more
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Journal of Mathematical Physics, 1997 This work extends the previous development of new mathematical machinery for nonlinear operators acting on a vector space. Starting from the usual concept of inner product, we find that Hermitian, anti-Hermitian, and unitary nonlinear operators can be defined without bringing in the ideas of a dual vector space or adjoint operators.
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New unique existence criteria for higher-order nonlinear singular fractional differential equations [PDF]
, 2018 In this paper, a nonlinear three-point boundary value problem of higher-order singular fractional differential equations is discussed. By applying the properties of Green function and some fixed point theorems for sum-type operator on cone, some new ...
Wang, Xiaoqiang +2 more
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