A Differential Equation with a State-Dependent Queueing Delay

DOI10.1137/19M1257585zbMath1464.34087OpenAlexW3048738322WikidataQ115246915 ScholiaQ115246915MaRDI QIDQ5116577

István Balázs, Tibor Krisztin

Publication date: 18 August 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1257585

zbMATH Keywords

stabilitydifferential inclusionperiodic solutionqueueing delaystate-dependent delayreturn mapslow oscillationejective fixed point

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05) Functional-differential inclusions (34K09) Functional-differential equations with state-dependent arguments (34K43)

Related Items

Abstract neutral differential equations with state‐dependent delay and almost sectorial operators ⋮ Solutions of mixed-type functional differential equations with state-dependence ⋮ Positive solutions of iterative functional differential equations and application to mixed-type functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of a rate control system with averaged feedback and network delay
• Global Hopf bifurcation for differential equations with state-dependent delay
• Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
• Existence of periodic solutions for delay differential equations with state dependent delay
• Introduction to functional differential equations
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
• Stable periodic motion of a system using echo for position control
• The mathematics of internet congestion control
• Stable periodic motion of a system with state dependent delay.
• Delay equations. Functional-, complex-, and nonlinear analysis
• A periodic solution of a differential equation with state-dependent delay
• A further generalization of the Schauder fixed point theorem
• Rate control for communication networks: shadow prices, proportional fairness and stability
• Convergence of Dual Algorithm with Arbitrary Communication Delays
• The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
• Asymptotic Stability of a Rate Control System With Communication Delays
• The two-dimensional attractor of a differential equation with state-dependent delay