Results 291 to 300 of about 54,909 (322)

Monotonically iterative method of nonlinear cantilever beam equations

Applied Mathematics and Computation, 2008
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Solvability of Doubly Nonlinear Evolution Equations with Monotone Operators

Differential Equations, 2003
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Monotonicity Methods for Nonlinear Singular Integral and Integro-Differential Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983
AbstractApplying methods of monotone operator theory existence theorems are proved for some classes of nonlinear singular integral and integro differential equations of Cauchy's type. In particular there are admitted more general nonlinearities in the considered integral equations than in the existing literature.
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Integral Equations with Power Sum Kernel and Monotonic Nonlinearity

Lobachevskii Journal of Mathematics
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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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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.
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Positive Monotone Solutions for Nonlinear Difference Equations

1997
Here, we shall consider the following damped difference equation $$\Delta (a(k){(\Delta y(k))^\sigma }) + b(k){(\Delta y(k))^\sigma } + H(k,y(k),\Delta y(k)) = 0,k \in N$$ (17.1) where σ is a positive quotient of odd integers (odd/odd), the function a(k) is eventually positive, and H : N × ℝ × ℝ → ℝ. For the equation (17.1) we shall establish
Ravi P. Agarwal, Patricia J. Y. Wong
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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
P Kaelo, M Koorapetse
exaly  

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
Jianghua Yin, Jinbao Jian, Xianzhen Jiang   +2 more
exaly