Formal solutions of singularly-perturbed linear differential systems
نویسندگان
چکیده
منابع مشابه
Formal Solutions of Singularly-Perturbed Linear Differential Systems
where h is an integer and the Ak(x)’s are n×n matrices whose entries lie in the ring of formal power series in x with complex coefficients. Such systems are traced back to the year 1817 [10, Historical Introduction] and are exhibited in a myriad of problems within diverse disciplines including astronomy, hydrodynamic stability, and quantum physics [1, 5, 8]. Their study encompasses a vast body ...
متن کاملApproximation of singularly perturbed linear hyperbolic systems
This paper is concerned with systems modelled by linear singularly perturbed partial differential equations. More precisely a class of linear systems of conservation laws with a small perturbation parameter is investigated. By setting the perturbation parameter to zero, the full system leads to two subsystems, the reduced system standing for the slow dynamics and the boundary-layer system repre...
متن کاملPeriodic solutions of a singularly perturbed delay differential equation
A singularly perturbed differential delay equation of the form ẋ(t) = −x(t)+ f (x(t − 1), λ) (1) exhibits slowly oscillating periodic solutions (SOPS) near the first period-doubling bifurcation point of the underlying map (obtained by setting = 0). For extremely small values of , these periodic solutions resemble square waves, which consist of sharp, O( ) transition layers connecting intervals ...
متن کاملOn the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2019
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2018.08.003