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PRACTICAL MONOTONOUS ITERATIONS FOR NONLINEAR EQUATIONS

PRACTICAL MONOTONOUS ITERATIONS FOR NONLINEAR EQUATIONS
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Monotone solutions of second-order nonlinear differential equations

Applied Mathematics Letters, 2000
Necessary and sufficient conditions are obtained for the existence of a positive nondecreasing solution to equations of the form \[ [r(t)(y'(t))^{\alpha }]'+q(t)(y(t))^{\alpha }=0, \] where \(\alpha \) is a positive number and \(r, q\) are continuous functions. As applications, some comparison theorems are derived.
Wan-Tong Li
exaly   +3 more sources

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Monotone Difference Schemes for Nonlinear Parabolic Equations

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matus, P. P., Rybak, I. V.
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Monotonicity methods for nonlinear evolution equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
The paper deals with evolution problems of the form \[ u'(t)+ A(t)u(t)= f(t),\quad ...
Berkovits, Juha, Mustonen, Vesa
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Equations with Maximal Monotone Nonlinearities

2016
We shall study here Eq. (1.1) for general (multivalued) maximal monotone graphs \(\beta: \mathbb{R} \rightarrow 2^{\mathbb{R}}\) with polynomial growth. The principal motivation for the study of these equations comes from nonlinear diffusion models presented in Sect.
Barbu, Viorel, Da Prato, Giuseppe, Röckner, Michael, Barbu, Viorel, Da Prato, Giuseppe, Röckner, Michael   +5 more
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MONOTONE-SCHWARZ PARALLEL ALGORITHM FOR NONLINEAR ELLIPTIC EQUATIONS∗

Parallel Algorithms and Applications, 1996
In this paper, a new monotone-Schwarz parallel algorithm for solving a class of semilinear elliptic systems is proposed. In the case of overlapping subdomains, the detailed procedures for constructing iterative sequences and the convergence proofs are investigated.
Qiming He, David J. Evans 0001
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Sublinear Nonlocal Dispersal Equation without Monotone Nonlinearity

SIAM Journal on Mathematical Analysis
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Jian-Wen Sun, Yan-Hua Xing, Rong Liu
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Monotone Waveform Relaxation for Systems of Nonlinear Differential-Algebraic Equations

SIAM Journal on Numerical Analysis, 2000
Summary: We present a monotone waveform relaxation algorithm which produces very tight upper and lower bounds of the transient response of a class of systems described by nonlinear differential-algebraic equations (DAEs) that satisfy certain Lipschitz conditions. The choice of initial iteration is critical and we give two methods of finding it. We show
Yao-Lin Jiang, Omar Wing
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An effective inertial-relaxed CGPM for nonlinear monotone equations

Journal of Applied Mathematics and Computing
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Jinbao Jian, Zhiwen Ren, Jianghua Yin, Dao-Lan Han, Xiaodi Wu 0002   +4 more
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