On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point

DOI10.1007/S10688-005-0038-0zbMath1128.47055OpenAlexW2049021809MaRDI QIDQ883689

Dmitrii I. Rachinskii, Alexander M. Krasnosel'skii

Publication date: 8 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0038-0

zbMATH Keywords

periodic oscillationssolution branchsubharmonicasymptotic bifurcation pointasymptotically homogeneous operator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (2)

Manifold method in the eigenvector theory of nonlinear operators. Transl. from the Russian ⋮ On disconnected unbounded sets of forced oscillations

Cites Work

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• On bifurcation from infinity for potential operators
• The index at infinity of some twice degenerate compact vector fields
• Forced oscillations in control systems with hysteresis
• On resonant differential equations with unbounded non-linearities
• Bounded perturbations of forced harmonic oscillators at resonance
• Periodic solutions of equations with oscillating nonlinearities

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