Periodic solutions of a second-order functional differential equation with state-dependent argument

DOI10.1007/s00009-018-1261-2zbMath1408.34050OpenAlexW2899727175WikidataQ115390320 ScholiaQ115390320MaRDI QIDQ1757029

Jia Liu, Hou Yu Zhao

Publication date: 28 December 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1261-2

zbMATH Keywords

periodic solutionfixed point theoremfunctional differential equationsstate-dependent argument

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (4)

Some existence results on positive solutions for an iterative second-order boundary-value problem with integral boundary conditions ⋮ Existence results for abstract functional differential equations with infinite state-dependent delay and applications ⋮ Unnamed Item ⋮ Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions

Cites Work

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• Differential-difference equations
• Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative
• The functional differential equation \(x'(t)=x(x(t))\)
• Theory of functional differential equations. 2nd ed
• Analytic solutions of a functional differential equation with a state derivative dependent delay
• Analytic solutions of a functional differential equation with state dependent argument
• Analytic solutions of an iterative functional-differential equation.
• On the existence of periodic solutions of z'(t)=-az(t-r+uk(t,z(t)))+F(t)
• DISCUSSION ON THE ANALYTIC SOLUTIONS OF THE SECOND-ORDER ITERATED DIFFERENTIAL EQUATION

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