A class of generalized uniform asymptotic expansions.
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential
We consider a discrete Schrödinger operator 𝒥 with Wigner-von Neumann potential not belonging to l². We find the asymptotics of orthonormal polynomials associated to 𝒥. We prove a Weyl-Titchmarsh type formula, which relates the spectral density of 𝒥 to a coefficient in the asymptotics of the orthonormal polynomials.
An elementary proof of asymptotic behavior of solutions of U" = VU
We provide an elementary proof of the asymptotic behavior of solutions of second order differential equations without successive approximation argument.
Asymptotic and integral equivalence of multivalued differential systems
Asymptotic behavior of discrete solutions to impulsive logistic equations.
Asymptotic equivalence of differential equations with Stepanoff-bounded functional perturbation
Asymptotic equivalence of second order differential equations
Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations.
Asymptotic forms of solutions of perturbed half-linear ordinary differential equations
Asymptotic forms of solutions of half-linear ordinary differential equation are investigated under a smallness condition and some signum conditions on . When , our results reduce to well-known ones for linear ordinary differential equations.
Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations.
Asymptotic formulas for solutions of functional-differential equations
Asymptotic relationship between solutions of two linear differential systems
In this paper new generalized notions are defined: -boundedness and -asymptotic equivalence, where is a complex continuous nonsingular matrix. The -asymptotic equivalence of linear differential systems and is proved when the fundamental matrix of is -bounded.
Asymptotic representations of solutions of the nonautonomous ordinary differential -th order equations
Asymptotic representations of some classes of solutions of nonautonomous ordinary differential -th order equations which somewhat are close to linear equations are established.
Asymptotic solutions of forced nonlinear second order differential equations and their extensions.
Boundary value problem for . I: Existence and uniqueness.
Boundary value problem with an inner point for the singularly perturbed semilinear differential equations
In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.
Bounded and periodic solutions of the Riccati equation in Banach space.
Contributions to the asymptotic behaviour of the equation with a complex-valued function
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria
It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction of an asymptotically...