Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems.
Monotone iteration for infinite systems of parabolic equations with functional dependence
We consider the initial value problem for an infinite system of differential-functional equations of parabolic type. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. The solutions are obtained by the monotone iterative method. We prove theorems on weak partial differential-functional inequalities as well the existence and uniqueness theorems in the class of continuous bounded functions and in the class of functions satisfying...
Monotone Iterative Methods for Finite Difference System of Reaction-Diffusion Equations.
Monotone Iterative Methods for Nonlinear Equations Involving a Noninvertible Linear Part.
Monotone iterative technique for partial dynamic equations of first order on time scales.
Monotone iterative technique for semilinear elliptic systems.
Monotone mappings and flows of viscous media.
Monotone method for nonlineer nonlocal hyperbolic problems.
Monotone methods for solving a boundary value problem of second order discrete system.
Monotone operators. A survey directed to applications to differential equations
The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various types of...
Monotone operators in divergence form with -dependent multivalued graphs
We prove the existence of solutions to , together with appropriate boundary conditions, whenever is a maximal monotone graph in , for every fixed . We propose an adequate setting for this problem, in particular as far as measurability is concerned. It consists in looking at the graph after a rotation, for every fixed ; in other words, the graph is defined through , where is a Carathéodory contraction in . This definition is shown to be equivalent to the fact that is pointwise monotone...
Monotone operators with linear range
Monotone scheme for finite difference equations concerning steady-state competing-species interactions
Monotone solutions of a nonautonomous differential equation for a sedimenting sphere.
Monotonically Convergent Iterative Methods for Nonlinear Systems of Equations.
Monotonicity and symmetry of solutions of -Laplace equations, , via the moving plane method
Monotonicity and symmetry of solutions of -Laplace equations, , via the moving plane method
We present some monotonicity and symmetry results for positive solutions of the equation satisfying an homogeneous Dirichlet boundary condition in a bounded domain . We assume 1 < p < 2 and locally Lipschitz continuous and we do not require any hypothesis on the critical set of the solution. In particular we get that if is a ball then the solutions are radially symmetric and strictly radially decreasing.
Monotonicity in time and stationary solutions for a quasilinear heat equation with source.
Monotonicity of the number of passages in linear chains and of the basis reproduction number in epidemic models.
Monotonicity properties for ground states of the scalar field equation