Asymptotically \(\omega \)-periodic functions in the Stepanov sense and its application for an advanced differential equation with piecewise constant argument in a Banach space

DOI10.1007/s00009-018-1071-6zbMath1387.34098OpenAlexW2784634878MaRDI QIDQ1744166

Solym Mawaki Manou-Abi, William Dimbour

Publication date: 16 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00009-018-1071-6

zbMATH Keywords

evolutionary processdifferential equations with piecewise constant argumentasymptotically \(\omega \)-periodic functions

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Periodic solutions to functional-differential equations (34K13)

Related Items

WEIGHTED \(S^p\)-PSEUDO \(S\)-ASYMPTOTICALLY PERIODIC SOLUTIONS FOR SOME SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS WITH SUPERLINEAR PERTURBATION ⋮ A study on mild solutions for multi-term time fractional measure differential equations ⋮ The S-asymptotically \(\omega\)-periodic solutions for stochastic fractional differential equations with piecewise constant arguments ⋮ Asymptotically \(\omega \)-periodic functions in the Stepanov sense and its application for an advanced differential equation with piecewise constant argument in a Banach space ⋮ Quasi-asymptotically almost periodic functions and applications ⋮ Asymptotically periodic solution of a stochastic differential equation

Cites Work

• Unnamed Item
• Antiperiodic solutions of semilinear integro-differential equations in Banach spaces
• On \(S\)-asymptotically \(\omega \)-periodic functions and applications
• Criteria of asymptotic \(\omega\)-periodicity and their applications in a class of fractional differential equations
• Asymptotically periodic solutions of semilinear fractional integro-differential equations
• On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
• A note on \(S\)-asymptotically periodic functions
• A second-order delay differential equation with multiple periodic solutions
• Boundary value problems for the diffusion equation with piecewise continuous time delay
• Asymptotically \(\omega \)-periodic functions in the Stepanov sense and its application for an advanced differential equation with piecewise constant argument in a Banach space
• A survey of partial differential equations with piecewise continuous arguments
• Weighted pseudo asymptotically periodic mild solutions of evolution equations
• Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
• EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS
• Excitability of a second-order delay differential equation