Recently added articles from Advances in Dynamical Systems and Applications:
Existence of multiple positive solutions of quasilinear elliptic problems in [R.sup.N].
Jun 01, 2007; Afrouzi, G.A. ... Abstract This paper concerns quasilinear elliptic equations of the form -div ([[absolute value of [nabla]u].sup.p-2] [nabla]u) = [lambda]a (x)u(x) [[absolute value of u].sup.p-2] (1 - [[absolute value of u].sup.[gamma]] in [R.sup.N] with p > 1 and a(x) ...
Oscillation of certain third order nonlinear functional differential equations.
Jun 01, 2007; Agarwal, Ravi P. ... Abstract In this paper we shall investigate the oscillatory properties of the equations [d.sup.2]/d[t.sup.2] (1/a(t) [(dx(t)/dt).sup.[alpha]]) + q(t)f(x[g(t)]) = 0 and [d.sup.2]/d[t.sup.2] (1/a(t) [(dx(t)/dt).sup.[alpha]]) = q(t)f (x[g(t)]) + ...
Nonresonance conditions for a nonlinear hyperbolic problem.
Jun 01, 2007; Anane, Aomar ... Abstract In this paper we study the existence of periodic weak solutions of semilinear wave equations in the case of nonresonance. AMS subject classification: 35J65, 35J25. Keywords: D'Alembertian, homotopy argument, eigenvalues. 1. Introduction ...
On the relationship between the classical linearization and optimal derivative (1).
Jun 01, 2007; Benouaz, Tayeb ... Abstract The aim of this paper is to present the relationship between the classical linearization and the optimal derivative of a nonlinear ordinary differential equation. An application is presented using the quadratic error. AMS subject classification: 34A30, 34A34. ...
Convergence of the homotopy decomposition method for solving nonlinear equations.
Jun 01, 2007; Xuehui, Chen ... Abstract A new definition of the homotopy analysis method is given by means of the decomposition method in this paper. The convergence of the homotopy decomposition method is proved under some reasonable hypotheses, which provide the theoretical basis of the homotopy ...
Coupled maps: local bifurcations of fixed points initiate global phase portrait changes.
Jun 01, 2007; Dobrynskii, Vladimir A. ... Abstract We present two map examples such that bifurcations of their fixed point which is embedded in a topologically transitive invariant chaotic set can generate global map phase portrait changes. To be more precise, we consider two coupled map families such that the family ...
A numerical algorithm for solving inverse problems for singular Sturm-Liouville operators.
Jun 01, 2007; Freiling, G. ... Abstract We propose a numerical algorithm for solving inverse problems of spectral analysis for Sturm-Liouville differential operators on the half-line. Moreover some results of numerical experiments are also presented. AMS subject classification: 65L09, 34A55, ...
Boundedness and exponential asymptotic stability in dynamical systems with applications to nonlinear differential equations with unbounded terms.
Jun 01, 2007; Raffoul, Youssef N. ... Abstract Nonnegative definite Lyapunov functions are employed to obtain sufficient conditions that guarantee boundedness of solutions of a nonlinear differential system. Also, sufficient conditions will be given to insure that the zero solution is exponentially and ...
Existence of positive radial solutions for elliptic systems (1).
Jun 01, 2007; Shengli, Xie ... Abstract In this paper, we study the existence of positive radial solutions for the elliptic system by fixed point index theory. AMS subject classification: 34B15, 45G15. Keywords: Positive radial solution, fixed point index, cone. 1 ....
