Theorems on instability of systems with respect to linear approximation

DOI10.1007/BF02383871zbMath0941.34061OpenAlexW2001430280MaRDI QIDQ1962385

V. Yu. Slyusarchuk

Publication date: 28 July 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02383871

zbMATH Keywords

instabilitysolutionsdifferential equationsnonstationary nonlinear compact partstationary linear part

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Stability of nonlinear autonomous quadratic discrete systems in the critical case

Cites Work

• Instability of differential equations with respect to the first approximation
• Geometric theory of semilinear parabolic equations
• A statement about instability in the first approximation
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