Arzela-like theorem with applications to differential equations and control theory
Associated differential equation to a selfadjoint third-order linear differential equation
Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form
Associated transforms for solution of nonlinear equations.
Asymmetric bound states of differential equations in nonlinear optics
Asymptotes verticales des solutions des équations différentielles
Asymptotic analyses of two fourth order linear differential equations
Asymptotic analysis and special values of generalised multiple zeta functions
This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic...
Asymptotic analysis by the saddle point method of the Anick-Mitra-Sondhi model.
Asymptotic Analysis of Delay Differential Equations.
Asymptotic analysis of -th order differential equations
Asymptotic analysis of non-self-adjoint Hill operators
We obtain uniform asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators L t (q) with a potential q ∈ L 1[0,1] and t-periodic boundary conditions, t ∈ (−π, π]. Using these formulas, we find sufficient conditions on the potential q such that the number of spectral singularities in the spectrum of the Hill operator L(q) in L 2(−∞,∞) is finite. Then we prove that the operator L(q) has no spectral singularities at infinity and it is an asymptotically spectral operator...
Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation
Positive solutions of the nonlinear second-order differential equation are studied under the assumption that p, q are generalized regularly varying functions. An application of the theory of regular variation gives the possibility of obtaining necessary and sufficient conditions for existence of three possible types of intermediate solutions, together with the precise information about asymptotic behavior at infinity of all solutions belonging to each type of solution classes.
Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.
Asymptotic analysis of the Carrier-Pearson problem.
Asymptotic and exponential decay in mean square for delay geometric Brownian motion
We derive sufficient conditions for asymptotic and monotone exponential decay in mean square of solutions of the geometric Brownian motion with delay. The conditions are written in terms of the parameters and are explicit for the case of asymptotic decay. For exponential decay, they are easily resolvable numerically. The analytical method is based on construction of a Lyapunov functional (asymptotic decay) and a forward-backward estimate for the square mean (exponential decay).
Asymptotic and integral equivalence of functional and ordinary differential equations
Asymptotic and integral equivalence of multivalued differential systems
Asymptotic and oscillation properties of third order linear differential equations
Asymptotic and oscillatory behavior of solutions of differential equations with advanced arguments