Results 11 to 20 of about 53,983 (280)
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, 2010 Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper.
Arias +15 more
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Dynamical systems method for solving nonlinear equations with monotone operators [PDF]
Mathematics of Computation, 2009 A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone operators in a Hilbert space is studied in this paper.
Hoang, N. S., Ramm, A. G.
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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 +3 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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Random nonlinear equations and monotonic nonlinearities
Journal of Mathematical Analysis and Applications, 1977 AbstractThe question of existence of random solutions of nonlinear random operator equations involving a monotonic nonlinearity is discussed.
Kannan, R, Salehi, H
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Mathematical and Computational Applications, 2020 A number of practical problems in science and engineering can be converted into a system of nonlinear equations and therefore, it is imperative to develop efficient methods for solving such equations.
Aliyu Muhammed Awwal +4 more
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Controlling Mackey--Glass chaos [PDF]
, 2017 The Mackey--Glass equation, which was proposed to illustrate nonlinear phenomena in physiological control systems, is a classical example of a simple looking time delay system with very complicated behavior. Here we use a novel approach for chaos control:
Kiss, Gábor, Röst, Gergely
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Mathematical Modelling and Analysis, 2019 A new three-term conjugate gradient-based projection method is presented in this paper for solving large-scale nonlinear monotone equations. This method is derivative-free and it is suitable for solving large-scale nonlinear monotone equations due to its
Mompati Koorapetse, Professor Kaelo
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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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