Some results on the asymptotic behaviour of the equation with a complex-valued function
Space-time caustics.
Special meshes and higher-order schemes for singularly perturbed boundary value problems.
Spectral approximation for inner and outer solution of some SPP.
Spectral asymptotics for Hill's equation near the potential maximum
Spline-wavelet solution of singularly perturbed boundary problem
SPP with discontinuous function and spectral approximation.
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...
Strong uniform approximation for some singularly perturbed differential equations arising in chemical reactor theory.
Structure of stable solutions of a one-dimensional variational problem
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher order variational problem. The results extend and complement an earlier work of Stefan Müller which concerns the structure of global minimizer. The energy functional studied in this work is motivated by the investigation of coherent solid phase transformations and the competition between the effects from regularization and formation of small scale structures. With a special choice of a bilinear double...
Sufficient Conditions for Uniform Convergence of a Class of Spline Difference Schemes for Singularly Perturbed Problems
Sul problema della biforcazione generalizzata di Hopf per sistemi periodici
Sulla risoluzione asintotica dell’equazione , con matrice , nel caso oscillante
Sulla risoluzione asintotica dell’equazione , con matrice , nel caso oscillante. - II
Sur les infinis des solutions de certaines equations differentielles
Sur un problème de perturbation singulière (I): Elasticité.
Este trabajo está consagrado al estudio de un problema de perturbación singular que aparece en la teoría de la elasticidad.
Sur un problème de perturbation singulière (II): Elasticité.
Este artículo es continuación de (I). Está consagrado al estudio de un problema de perturbación singular proveniente de la teoría de la elasticidad.
System of differential equations with unstable turning point and multiple element of spectrum of degenerate operator