Stability tests for second order linear and nonlinear delayed models
DOI10.1007/s00030-015-0334-1zbMath1331.34142arXiv1403.7554OpenAlexW2136841718MaRDI QIDQ889844
Elena Braverman, Leonid Berezansky, Lev V. Idels
Publication date: 9 November 2015
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.7554
global asymptotic stabilityboundedness of solutionsvariable delayssunflower equationsecond order delay differential equationsLiénard-type nonautonomous linear and nonlinear delay differential equationsthe Kaldor-Kalecki business cycle model
Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)
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Cites Work
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- New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks
- Existence of oscillatory solutions of forced second order delay differential equations
- Stability criteria for certain second-order delay differential equations with mixed coefficients
- Study the stability of solutions of functional differential equations via fixed points
- Positive solutions of second-order delay differential equations with a damping term
- Asymptotically exponential solutions in nonlinear integral and differential equations
- Fixed points and stability in differential equations with variable delays
- Stability of the second order delay differential equations with a damping term
- Second order boundedness criteria
- Introduction to functional differential equations
- Boundedness, periodicity, and convergence of solutions in a retarded Liénard equation
- Existence and stability of almost periodic solutions for quasilinear delay systems and the Halanay inequality
- Fixed points, stability, and exact linearization
- Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation
- Stability to vector Liénard equation with constant deviating argument
- Boundedness of solutions for a class of Liénard equations with a deviating argument
- The stability problem in the Kaldor--Kalecki business cycle model
- On stability of some linear and nonlinear delay differential equations
- Boundedness of solutions to a retarded Liénard equation
- Nonoscillation Theory of Functional Differential Equations with Applications
- Delay effects in the human sensory system during balancing
- Forced oscillations for the sunflower equation, entrainment
- On the Retarded Lienard Equation
- Periodic solutions of the sunflower equation: 𝑥̈+(𝑎/𝑟)𝑥+(𝑏/𝑟)sin𝑥(𝑡-𝑟)=0
- Global analysis of the sunflower equation with small delay
- Boundedness and stability of solutions of the retarded liénard equation with negative damping
- Period Doubling Bifurcation and Center Manifold Reduction in a Time-periodic and Time-delayed Model of Machining
- High-dimensional Harmonic Balance Analysis for Second-order Delay-differential Equations
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