Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonselfadjoint Sturm-Liouville Operator With Discontinuous Coefficients (II)
Estimates for the Eigenvalues of Hill's Equation and Applications for the Eigenvalues of the Laplacian on Toroidal Surfaces.
Estimates on the eigenvalues for some nonlinear ordinary differential operators
Estimations asymptotiques des valeurs propres de l'équation de Hill polynomiale
Étude qualitative des solutions réelles d'une équation différentielle liée à l'équation de Ginzburg-Landau
Existence and location result for the bending of a single elastic beam
Existence of Periodic Solutions for Nonlinear Neutral Dynamic Equations with Functional Delay on a Time Scale
Let be a periodic time scale. The purpose of this paper is to use a modification of Krasnoselskii’s fixed point theorem due to Burton to prove the existence of periodic solutions on time scale of the nonlinear dynamic equation with variable delay , , where is the -derivative on and is the -derivative on . We invert the given equation to obtain an equivalent integral equation from which we define a fixed point mapping written as a sum of a large contraction and a compact map. We show...
Expansion of solutions of T'Hooft's equation. A study in the confluence of analytic boundary conditions.
Explicit solutions for non homogeneous Sturm-Liouville operators problems.
In this paper we study existence and sufficiency conditions for the solutions of Sturm-Liouville operator problems related to the operator differential equation X'' - QX = F(t). Explicit solutions of the problem in terms of a square root of the operator Q are given.
Explicit solutions for Sturm-Liouville operator problems (II).
It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.
Exponential estimates on the one-dimensional Schroedinger equation with bounded analytic potential
Extremal properties of eigenvalues for a metric graph
We establish the sharp lower bound for eigenvalues of a metric graph.