On a Difference Scheme of Exponential Type for a Nonlinear Singular Perturbation Problem.
On a finite difference analogue of a singular boundary value problem.
On a reduction of nonlinear ordinary differential equations at an irregular type singularity
On a singular perturbed differential delay equation
On a singulary perturbed, coupled elliptic-elliptic problem.
On collocation methods for singular perturbation problems of convection-diffusion type.
On combined asymptotic expansions in singular perturbations.
On -quasi-derivatives for solutions of perturbed general quasi-differential equations
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
On numerical solution of a mildly nonlinear turning point problem
On Orthogonal Series Solution For Boundary Layer Problems
On Pontryagin-Rodygin's theorem for convergence of solutions of slow and fast systems.
On singular perturbation of nonlinear two-point boundary value problems
On singularly perturbed ordinary differential equations with measure-valued limits
On singularly perturbed ordinary differential equations with measure-valued limits
The limit behaviour of solutions of a singularly perturbed system is examined in the case where the fast flow need not converge to a stationary point. The topological convergence as well as information about the distribution of the values of the solutions can be determined in the case that the support of the limit invariant measure of the fast flow is an asymptotically stable attractor.
On Some Difference Schemes for Singular Singularly-Perturbed Boundary Value Problems.
On the existence of a measure unbounded exponential spectral characteristic set of a linear system with a small parameter at the derivative.
On the -boundedness of solutions for products of quasi-integro differential equations.
On the number of positive solutions of singularly perturbed 1D nonlinear Schrödinger equations
We study singularly perturbed 1D nonlinear Schrödinger equations (1.1). When has multiple critical points, (1.1) has a wide variety of positive solutions for small and the number of positive solutions increases to as . We give an estimate of the number of positive solutions whose growth order depends on the number of local maxima of . Envelope functions or equivalently adiabatic profiles of high frequency solutions play an important role in the proof.
On the order reduction of optimal control systems
On Tykhonov's theorem for convergence of solutions of slow and fast systems.