Global attractors of one-dimensional parabolic equations: sixteen examples
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in .
Global behavior of the components for the second order -point boundary value problems.
Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy.
Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input.
Global behaviour of solution branches for some Neumann problems depending on one or several parameters.
Global bifurcation for second-order Neumann problem with a set-valued term.
Global bifurcation from the Fučik spectrum
Global bifurcations in a dynamical model of recurrent neural networks
The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several identical excitatory neurons and a single inhibitory one. This special construction enables us to reduce the dimension of the system and then fully characterize the local and global codimension-one bifurcations. It is shown that besides saddle-node and Andronov-Hopf bifurcations, homoclinic and cycle fold bifurcations may occur. These bifurcation curves...
Global canonical forms of linear differential equations
Global continuum of positive solutions for discrete -Laplacian eigenvalue problems
We discuss the discrete -Laplacian eigenvalue problem, where is a given positive integer and , . First, the existence of an unbounded continuum of positive solutions emanating from is shown under suitable conditions on the nonlinearity. Then, under an additional condition, it is shown that the positive solution is unique for any and all solutions are ordered. Thus the continuum is a monotone continuous curve globally defined for all .
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number characterizes the existence of equilibria as well as...
Global dynamics of a HIV transmission model.
Global error control for the continuous Galerkin finite element method for ordinary differential equations
Global error estimation in the numerical solution of retarded differential equations by Euler's method
In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.
Global existence and asymptotic behavior of solution of second-order nonlinear impulsive differential equations.
Global existence and boundedness for quasi-variational systems.
Global existence and controllability to a stochastic integro-differential equation.
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Global existence and stability of some semilinear problems
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.