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Sublinear Nonlocal Dispersal Equation without Monotone Nonlinearity

SIAM Journal on Mathematical Analysis
Abstract. In this paper, we consider the sublinear nonlocal dispersal equation [Formula: see text], [Formula: see text], where [Formula: see text] is a smooth bounded domain, [Formula: see text] are positive, and [Formula: see text] and [Formula: see text] are nonnegative.
Jian-Wen Sun, Yan-Hua Xing, Rong Liu
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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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Monotone Waveform Relaxation for Systems of Nonlinear Differential-Algebraic Equations

SIAM Journal on Numerical Analysis, 2000
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 that the
Yao-Lin Jiang, Omar Wing
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Solvability of Doubly Nonlinear Evolution Equations with Monotone Operators

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An effective inertial-relaxed CGPM for nonlinear monotone equations

Journal of Applied Mathematics and Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinbao Jian   +4 more
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Monotonically iterative method of nonlinear cantilever beam equations

Applied Mathematics and Computation, 2008
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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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Integral Equations with Power Sum Kernel and Monotonic Nonlinearity

Lobachevskii Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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