Existence problems for homoclinic solutions.
Existence problems for -closed orbits.
Existence theorems for almost periodic solutions of first-order differential equations
Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation.
Expansion for the superheating field in a semi-infinite film in the weak- limit
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak- limit. These authors deduced a formal expansion for the superheating field in powers of up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr’s formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion in powers...
Expansion for the superheating field in a semi-infinite film in the weak-κ limit
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak-κ limit. These authors deduced a formal expansion for the superheating field in powers of up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr's formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion...
Exponential decay and existence of almost periodic solutions for some linear forced differential equations.
Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems
This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed systems,...
Extension of the Bernstein condition to systems of ordinary differential equations of general form.
Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies.
Extinction in a generalized Lotka-Volterra predator-prey model.
Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]....
Extremal properties of distance-based graph invariants for -trees
Sharp bounds on some distance-based graph invariants of -vertex -trees are established in a unified approach, which may be viewed as the weighted Wiener index or weighted Harary index. The main techniques used in this paper are graph transformations and mathematical induction. Our results demonstrate that among -trees with vertices the extremal graphs with the maximal and the second maximal reciprocal sum-degree distance are coincident with graphs having the maximal and the second maximal reciprocal...
Factoring linear differential operators on measure chains.
Familles de branches de bifurcations dans les équations de Ginzburg-Landau
Fast and heteroclinic solutions for a second order ODE.
Feuilletages de briot et Bouquet.
Fiber preserving transformations and the equation .
Finding the Boundary Curves of the Third Order Linear Ordinary Differential Equation
Finiteness of the set of solutions of some boundary-value problems for ordinary differential equations