Periodic solutions for some partial functional differentialequations

We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution. In the nonlinear case, using a fixed-point theorem concerning set-valued maps, we establish the existence of a periodic solution.

• Publication year

  2004

• Venue

  Journal of Applied Mathematics and Stochastic Analysis

• Publication date

  Unknown publication date

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1155/S1048953304212011
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• PERIODIC SOLUTIONS OF NON-DENSELY DEFINED DELAY EVOLUTION EQUATIONS

  2002cited by this paper
• Semi-Fredholm Operators and Periodic Solutions for Linear Functional Differential Equations

  1999cited by this paper
• Theory and Applications of Partial Functional Differential Equations

  1996cited by this paper
• Nonlinear functional analysis and its applications, part I: Fixed-point theorems

  1991cited by this paper
• Semiflows generated by Lipschitz perturbations of non-densely defined operators

  1990cited by this paper
• Asymptotic Behavior of Dissipative Systems

  1988influential reference
• One-parameter Semigroups of Positive Operators

  1986cited by this paper
• Remarks on one-dimensional delay-differential equations

  1973cited by this paper
• Fixed point theorems and dissipative processes.

  1973cited by this paper
• Stability theory by Liapunov's second method

  1966cited by this paper

• Periodic solutions of partial functional differential equations

  2021cites this paper
• Existence of periodic solutions in abstract semilinear equations and applications to biological models

  2020influential citation
• Existence and regularity of periodic solutions for neutral evolution equations with delays

  2019cites this paper
• On the theory of periodic solution for some nondensely nonautonomous delayed partial differential equations

  2019cites this paper
• Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces

  2018cites this paper
• Periodic Solutions for Non-Autonomous Neutral Functional Differential Equations with Finite Delay

  2017cites this paper
• Periodic Solutions of Non-densely Non-autonomous Differential Equations with Delay

  2013cites this paper
• Differential Equations with Small Perturbations Operator Coefficients and Deviating Argument

  2013cites this paper
• Massera problem for non-autonomous retarded differential equations

  2013cites this paper
• Existence and Uniqueness of a Solution of Differential Equations with Constant Periodic Operator Coefficients

  2013cites this paper
• Periodic trajectories of distributed parameter biochemical systems with time delay

  2012cites this paper
• Periodic solutions for some nonautonomous semilinear boundary evolution equations

  2009cites this paper
• Research Article Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space

  2007cites this paper
• Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space

  2007cites this paper
• THE BASIC THEORY OF ABSTRACT SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSE DOMAIN

  2006cites this paper