Results 11 to 20 of about 3,031,442 (296)
Bounded solutions: Differential vs difference equations
Electronic Journal of Differential Equations, 2009 We compare some recent results on bounded solutions (over $Z$) of nonlinear difference equations and systems to corresponding ones for nonlinear differential equations.
Jean Mawhin
doaj +1 more source
Stationary solutions for the Cahn-Hilliard equation [PDF]
, 1998 We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point.
Winter, M, Wei, J
core +6 more sources
On the stationary Cahn-Hilliard equation: Interior spike solutions [PDF]
, 1998 We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Winter, M, Wei, J
core +1 more source
Multi-interior-spike solutions for the Cahn-Hilliard equation with arbitrarily many peaks [PDF]
, 2000 We study the Cahn-Hilliard equation in a bounded smooth domain without any symmetry assumptions. We prove that for any fixed positive integer K there exist interior $K$--spike solutions whose peaks have maximal possible distance from the boundary ...
Winter, M, Wei, J
core +1 more source
Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems [PDF]
, 1999 In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Winter, M, Wei, J
core +6 more sources
Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
core +1 more source
Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers [PDF]
, 2001 In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean
Winter, M, Wei, J
core +1 more source
Bounded real lemmas for positive descriptor systems [PDF]
, 2015 A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang +3 more
core +1 more source
On the Stationary Cahn-Hilliard Equation: Bubble Solutions [PDF]
, 1998 We study stationary solutions of the Cahn--Hilliard equation in a bounded smooth domain which have an interior spherical interface (bubbles). We show that a large class of interior points (the ``nondegenerate peak'' points) have the following ...
Winter, M +3 more
core +1 more source
On bounded solutions of differential systems
Вестник КазНУ. Серия математика, механика, информатика, 2022 The question of the existence of bounded solutions on an infinite interval of a linear inhomogeneous system of ordinary differential equations in a finite-dimensional space is considered. The study of bounded solutions of systems of ordinary differential
T. M. Aldibekov
doaj