Results 311 to 320 of about 1,986,683 (337)

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 ...
openaire   +1 more source

Equations of convolution type with a monotone nonlinearity on an interval

Differential Equations, 2015
The paper is devoted to a study of nonlinear Fredholm integral equations of the second kind with a convolution kernel that satisfies some monotonicity conditions. The nonlinearity may appear with respect to either the unknown function outside the integral or the unknown inside the integral or with respect to the entire integral.
openaire   +1 more source

Semilinear stochastic evolution equations with monotone nonlinearities

Stochastics and Stochastic Reports, 1995
A semigroup approach is used to prove existence, uniqueness and boundedness of the solution of semilinear stochastic evolution equations with monotone nonlinearities. The existence and uniqueness theorem is based on Picard iteration together with results from the theory of deterministic semilinear evolution equations.
openaire   +1 more source

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.
openaire   +1 more source

A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration

Journal of Computational and Applied Mathematics, 2023
Xianzhen Jiang, Jinbao Jian, Jiang-Hua Yin   +2 more
exaly  

Stability of a Class of Differential Equations with a Single Monotone Nonlinearity

SIAM Journal on Control, 1966
Narendra, K. S., Neuman, C. P.
openaire   +2 more sources

A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications

Applied Numerical Mathematics, 2022
Hu Shao, Pengjie Liu
exaly  

Nonlinear monotone boundary conditions for parabolic equations

2011
In questo lavoro viene trattato il problema (0.1) - (0.3), con l operatore monotono. I principali risultati sono contenuti nei teoremi concernenti resistenza, l’unicità, regolarità e comportamento asintotico delle soluzioni.
Morosanu, G., Petrovanu, Dan
openaire   +2 more sources

Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations

Applied Mathematics Letters, 2012
Guotao Wang, Ravi Agarwal, Alberto Cabada   +2 more
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