Some remarks about the monotone inclusion for solutions of nonlinear equations by regula-falsi-like methods [PDF]
, 1983 summary:First, a result of J. W. Schmidt about the monotone enclosure of solutions of nonlinear equations is generalized. Then an iteration method is considered, which is more effective than other known methods.
Kwapisz, Marian, Schneider, Norbert
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ASYMPTOTICALLY MONOTONE SOLUTIONS OF A NONLINEAR DIFFERENCE EQUATION
Tamkang Journal of Mathematics, 1993 Necessary conditions as well as sufficient conditions for the eventually positive solutions of a class of nonlinear difference equation to be monotone are derived.
Li, Horng Jaan, Cheng, Sui Sun
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Nonlinear equations with weighted potential type operators in Lebesgue spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
S. N. Askhabov
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IEEE Access, 2020 In this article, we propose a modified conjugate descent (CD) projection algorithm for solving system of nonlinear monotone equations with convex constraints.
Sani Aji +4 more
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Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems [PDF]
Communications in Mathematical Physics, 2019 Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
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On Phi-Pseudo-Monotonicity and Approximation-Solvability of Nonlinear Equations
Journal of Mathematical Analysis and Applications, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verma, Ram, Debnath, Lokenath
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces
Discrete Dynamics in Nature and Society, 2013 By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed ...
Hua Su
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Monotone positive solutions of second-order nonlinear differential equations
, 2003 We obtain an existence theorem for monotone positive solutions of nonlinear second-order ordinary differential equations by using the Schauder-Tikhonov fixed point theorem.
Yin, Zhaoyang +2 more
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Inertial-Based Derivative-Free Method for System of Monotone Nonlinear Equations and Application
IEEE Access, 2020 Iterative methods for solving nonlinear problems are of great importance due to their appearance in various areas of applications. In this paper, based on the inertial effect, we propose two projection derivative-free iterative methods for solving system
Aliyu Muhammed Awwal +4 more
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Monotone iterates for systems of nonlinear integro-elliptic equations [PDF]
, 2017 This paper deals with numerically solving systems of nonlinear integro-elliptic equations. We give a monotone iterative method, based on the method of upper and lower solutions.
Boglaev, Igor
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