On resonant differential equations with unbounded non-linearities

Zeitschrift für Analysis und ihre Anwendungen

Volumn 21, Issue 3, 2002, Pages 639-668

  Krasnosel'skii, A M ^a   Kuznetsov, N A ^a   Rachinskii, D I ^a  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

Cycles; Degenerate linear parts; Existence results; Hopf bifurcation; Integral equations; Non linearity sublinear at infinity; Periodic solutions; Two point problems

Indexed keywords

EID: 0036379595     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1100     Document Type: Article

References (18)

1. Unbounded solutions of semilinear equations at resonance
2. Sector estimates of nonlinearities and self-oscillation existence in control systems
3. On the use of asymptotics in nonlinear boundary value problems
4. Coincidence degree and nonlinear differential equations
5. Asymptotic homogeneity of hysteresis operators
6. On forced oscillations in systems with even functional characteristics
7. On oscillations in resonant equations with complex nonlinearities
8. Large-amplitude cycles in autonomous systems with hysteresis
9. Vector fields in the product of spaces and applications to differential equations
10. Periodic solutions of equations with oscillating nonlinearities
11. The index at infinity for some vector fields with oscillating nonlinearities
12. Hopf bifurcations from infinity, generated by bounded nonlinear terms
13. On Hamiltonian nature of Lurie systems
14. Existence of cycle continua in Hamiltonian control systems
15. Bounded perturbations of forced harmonic oscillators at resonance
16. Critical point theory and Hamiltonian systems