Results 1 to 10 of about 54,219 (283)

On variational nonlinear equations with monotone operators [PDF]

Advances in Nonlinear Analysis, 2020
Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
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Nonconvolution nonlinear integral volterra equations with monotone operators

Computers & Mathematics with Applications, 2005
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
Arias, M.R., Benítez, R., Bolós, V.J.
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A Modified Hestenes-Stiefel-Type Derivative-Free Method for Large-Scale Nonlinear Monotone Equations

Mathematics, 2020
The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale nonlinear monotone equations. The method is presented by combining the hyperplane projection method (Solodov, M.V.; Svaiter, B.F.
Zhifeng Dai, Huan Zhu
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New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]

PLoS ONE
In this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone ...
Shaoyuan Xu, Yan Han, Shixun Lin, Guoqiong Zhou   +3 more
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semilinear wave equation with non-monotone nonlinearity

Electronic Journal of Differential Equations, 2023
We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial.
José F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuán   +3 more
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Algebraic Systems with Positive Coefficients and Positive Solutions

Mathematics, 2022
The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients.
Ana Maria Acu, Ioan Raşa, Ancuţa Emilia Şteopoaie   +2 more
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Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity [PDF]

Multiscale Modeling & Simulation, 2021
Nonlinear multi-scale problems are ubiquitous in materials science and biology. Complicated interactions between nonlinearities and (nonseparable) multiple scales pose a major challenge for analysis and simulation. In this paper, we study the numerical homogenization for multi-scale elliptic PDEs with monotone nonlinearity, in particular the Leray ...
Xinliang Liu, Eric Chung, Lei Zhang
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Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems

Abstract and Applied Analysis, 2020
Real-life problems are governed by equations which are nonlinear in nature. Nonlinear equations occur in modeling problems, such as minimizing costs in industries and minimizing risks in businesses.
Mathew O. Aibinu, Surendra C. Thakur, Sibusiso Moyo   +2 more
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Monotone method for Riemann-Liouville multi-order fractional differential systems [PDF]

Opuscula Mathematica, 2016
In this paper we develop the monotone method for nonlinear multi-order \(N\)-systems of Riemann-Liouville fractional differential equations. That is, a hybrid system of nonlinear equations of orders \(q_i\) where \(0 \lt q_i \lt 1\).
Zachary Denton
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Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery

Results in Applied Mathematics, 2019
In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions.
Auwal Bala Abubakar, Poom Kumam, Aliyu Muhammed Awwal   +2 more
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