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Method of monotonization of nonlinear equations in Banach spaces
Mathematical Notes of the Academy of Sciences of the USSR, 1988Let 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
2013In 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, 2021Mompati Koorapetse, P Kaelo
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Nonlinear Differential Equations of Monotone Types in Banach Spaces
Springer Monographs in Mathematics, 2010Viorel P. Barbu
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Stability of a Class of Differential Equations with a Single Monotone Nonlinearity
SIAM Journal on Control, 1966Narendra, K. S., Neuman, C. P.
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A Projection Method for Convex Constrained Monotone Nonlinear Equations With Applications
Computers and Mathematics With Applications, 2015S J Li, J K Liu
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Monotone Positive Solutions for a Class of Second-Order Nonlinear Differential Equations
Journal of Computational and Applied Mathematics, 2014Ağacık Zafer
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