Periodicity of solutions for non-autonomous neutral functional differential equations with state-dependent delay
DOI10.1007/s10884-021-10098-yzbMath1526.34044OpenAlexW3208979912WikidataQ115382949 ScholiaQ115382949MaRDI QIDQ6103317
Publication date: 2 June 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-10098-y
periodic solutionstate-dependent delay\(S\)-asymptotically periodic solutionlinear evolution operatornon-autonomous neutral equation
Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13) Nonlinear evolution equations (47J35) Nonautonomous smooth dynamical systems (37C60) Functional-differential equations with state-dependent arguments (34K43)
Cites Work
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- \(C^{1+\alpha}\)-strict solutions and wellposedness of abstract differential equations with state dependent delay
- Nonlinear variation of constants formula for differential equations with state-dependent delays
- Asymptotically almost periodic and almost periodic solutions for partial neutral differential equations
- Existence of periodic solutions for abstract neutral nonautonomous equations with infinite delay
- Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications
- On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
- Existence and regularity of solutions for neutral partial functional integrodifferential equations
- Periodic solutions of abstract neutral functional differential equations with infinite delay.
- Semigroups of linear operators and applications to partial differential equations
- Functional differential equations with infinite delay
- Linear autonomous neutral differential equations in a Banach space
- Existence results for partial neutral functional differential equations with unbounded delay
- Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
- Introduction to functional differential equations
- Global Hopf bifurcations of neutral functional differential equations with state-dependent delay
- Theory and applications of partial functional differential equations
- Limiting equations and some stability properties for asymptotically almost periodic functional differntial equations with infinite delay
- Self-sustained oscillations in a ring array of coupled lossless transmission lines
- Existence and uniqueness of solutions for abstract neutral differential equations with state-dependent delay
- Exponential stability for nonautonomous functional differential equations with state-dependent delay
- Periodicity in the \({\alpha}\)-norm for partial functional differential equations in fading memory spaces
- A general theory of heat conduction with finite wave speeds
- Smoothness of semiflows for parabolic partial differential equations with state-dependent delay
- Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold
- Periodic solutions of abstract functional differential equations with state-dependent delay
- On the Linear Heat Equation with Fading Memory
- EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS
- Existence and Stability for Partial Functional Differential Equations
- Stability Analysis of Nonlinear Neutral Functional Differential Equations
- Equations of parabolic type in a Banach space
- On heat conduction in materials with memory
- Global continua of rapidly oscillating periodic solutions of state-dependent delay differential equations