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Method of monotonization of nonlinear equations in Banach spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1988
Let E be a Banach space with a proper cone, A:E\(\to E\) be a linear bounded operator, and F:E\(\to E\) be a continuous operator. The author suggests a method of two-sided successive approximations for the equation \(u=AF(u)\) of the following form \[ u^{n+1}=(I+\lambda A)^{-1}A(F(u^ n)+\lambda u^ n),\quad u^ 0=\sigma^+,\quad u_{n+1}=(I+\lambda A)^{-1 ...
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Nonlinear Monotone Stochastic Partial Differential Equations

2013
In the first section, we recall a general result concerning existence, uniqueness, and Ito’s formula for the norm square of solutions to nonlinear monotone stochastic differential equations in the framework of (Krylov and Rozovskii, Stochastic evolution equations, Plenum Publishing, 1981), which goes back to (Pardoux, C.R. Acad. Sci.
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A Globally Convergent Projection Method for a System of Nonlinear Monotone Equations

International Journal of Computer Mathematics, 2021
Mompati Koorapetse, P Kaelo
exaly  

Nonlinear Differential Equations of Monotone Types in Banach Spaces

Springer Monographs in Mathematics, 2010
Viorel P. Barbu
exaly  

A Projection Method for Convex Constrained Monotone Nonlinear Equations With Applications

Computers and Mathematics With Applications, 2015
S J Li, J K Liu
exaly  

Existence Results and the Monotone Iterative Technique for Systems of Nonlinear Fractional Differential Equations

Applied Mathematics Letters, 2012
Guotao Wang   +2 more
exaly  

Monotone Positive Solutions for a Class of Second-Order Nonlinear Differential Equations

Journal of Computational and Applied Mathematics, 2014
Ağacık Zafer
exaly  

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