Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Singularly perturbed Cauchy problem for abstract linear differential equations of second order in Hilbert spaces.
Authors: Andrei Perjan, Galina Rusu
ε(uε''(t)+A1uε(t))+u&eplsilon;'(t)+A0uε(t)=f(t), t>0,
uε(0)=u0, uε'=u1,
in the Hilbert space H as
where A1 and A0 are two linear selfadjoint operators.
– 0.13 Mb
Abstract
We study the behavior of solutions to the problemε(uε''(t)+A1uε(t))+u&eplsilon;'(t)+A0uε(t)=f(t), t>0,
uε(0)=u0, uε'=u1,
in the Hilbert space H as
where A1 and A0 are two linear selfadjoint operators.
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Fulltext
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Contents
- The transvectants and the integrals for Darboux systems of differential equations.
- Open problems on the algebraic limit cycles of planar polynomial vector fields.
- Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four.
- Global Attractors of Quasi-Linear Non-Autonomous Difference Equations.
- Determinantal Analysis of the Polynomial Integrability of Differential Systems.
- Orthogonal Solutions for a Hyperbolic System.
- Two problems from the qualitative theory of Hamiltonian systems (in Russian).
- n-Homogeneous dynamical systems and n-ary algebras.
- Attractors in affine differential systems with impulsive control.
- On theory of surfaces defined by the first order systems of equations.
- Regular maps and quasilinear total differential equations.
- Singularly perturbed Cauchy problem for abstract linear differential equations of second order in Hilbert spaces.
