The asymptotic behaviour of oscillatory solutions of the equation of the fourth order
The asymptotic solution of higher-order differential equations with small final coefficient
The Blasius function in the complex plane.
The Central Connection Problem at Turning Points of Linear Differential Equations
The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type
The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations.
The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation
The fluid profile during spin-coating over a small sinusoidal topography.
The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points
The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0 (M ) and T0...
The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case.
The mesh chopping algorithm for singularly perturbed boundary value problem.
The method of averaging and functional differential equations with delay.
The microlocal Landau-Zener formula
The period function near a polycycle with two semi-hyperbolic vertices
The return of the quartic oscillator. The complex WKB method
The second order differential equation with an oscillatory coefficient
The spectral approximation for the shock layer problems.
The strict stability of dynamic systems on time scales.
The structure of spline collocation matrix for singularly perturbation problems with two small parameters.
The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators