A study of the stability of solutions of linear parabolic equations with nearly constant coefficients and small diffusion

DOI10.1007/BF01102587zbMath0786.35067MaRDI QIDQ1190362

Sergey A. Kaschenko

Publication date: 27 September 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

resonance problemsrapidly oscillating coefficientseffective algorithmsmall diffusion coefficientsPetrovskij systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability in context of PDEs (35B35) Second-order parabolic equations (35K10)

Related Items (4)

Local dynamics of two-component parabolic systems of Schrödinger type ⋮ Dynamics of the Kuramoto equation with spatially distributed control ⋮ Analysis of local dynamics of difference and close to them differential-difference equations ⋮ Homogenization over the spatial variable in nonlinear parabolic systems

Cites Work

• Parametric resonance in systems with delay under a two-frequency perturbation
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