Results 241 to 250 of about 53,983 (280)

Sublinear Nonlocal Dispersal Equation without Monotone Nonlinearity

SIAM Journal on Mathematical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Jian-Wen, Xing, Yan-Hua, Liu, Rong
openaire   +1 more source

MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 1998
The authors study the existence of minimal and maximal solutions to a class of nonlinear neutral delay differential equations. By using the method of upper and lower solutions, monotone sequences are constructed and shown to converge to the extremal solutions to an initial value problem.
Jiang, Ziwen, Zhuang, Wan
openaire   +2 more sources

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

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
openaire   +1 more source

Monotone iterative method for nonlinear discontinuous differential equations

Wuhan University Journal of Natural Sciences, 1998
A monotone iterative method for some discontinuous variational boundary problems is given, the convergence of iterative solutions is proved by the theory of partially ordered sets. It can be regarded as a generalization of the classical monotone iteration theory for continuous problems.
Sun Lelin, Lei Jingan
openaire   +1 more source

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, D. J. EVANS
openaire   +1 more source

Solvability of Doubly Nonlinear Evolution Equations with Monotone Operators

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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

Monotone positive solutions of second-order nonlinear differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
The author considers the second-order nonlinear differential equation \[ u''+f(t,u,u')=0,\;t\geq 0, \tag{1} \] where \(f:\mathbb{R}_0\times\mathbb{R}\times \mathbb{R} \to \mathbb{R}\) is continuous, \(\mathbb{R}_0=[0,+\infty).\) The following result is obtained: If \(| f(t,u,u')| \leq F(t,| u| ,| u'| ),\) where \(F\in C(\mathbb{R}_0\times \mathbb{R}_0 ...
openaire   +2 more sources

Localization properties for nonlinear equations involving monotone operators

Mathematical Methods in the Applied Sciences, 2020
Using monotonicity methods, the Lagrange multiplier rule, and some variational arguments, we consider a type of localization results pertaining to the existence of critical points to action functionals on a closed ball. A variant of the Schechter critical point theorem on a ball in Hilbert and Banach spaces is obtained.
openaire   +1 more source