Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
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Boundary Data Maps for Schrödinger Operators on a Compact Interval
S. Clark, F. Gesztesy, M. Mitrea (2010)
Mathematical Modelling of Natural Phenomena
We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations of these boundary data maps in terms of the resolvent...
Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
Roger D. Nussbaum, John Mallet-Paret (1996)
Journal für die reine und angewandte Mathematik
Boundary layer phenomenon for three -point boundary value problem for the nonlinear singularly perturbed systems
Robert Vrabel (2011)
Kybernetika
This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.
Boundary Value Problem for Nonlinear Singularity perturbed Systems in Critical case of Exchange of Stability
L. I. Karandjulov, Y. P. Stoyanova (2003)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Boundary value problem for . I: Existence and uniqueness.
Wang, Chie Bing (2001)
International Journal of Mathematics and Mathematical Sciences
Boundary value problem with an inner point for the singularly perturbed semilinear differential equations
Róbert Vrábeľ (2011)
Mathematica Bohemica
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.
Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations
Karandjulov, L., Stoyanova, Y. (2000)
Serdica Mathematical Journal
A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.
Bounded and periodic solutions of the Riccati equation in Banach space.
Dorogovtsev, A.Ya., Petrova, T.A. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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