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On Periodic Solutions of Nonlinear Functional Differential Equations
-
I. Kiguradze
Published/Copyright:
February 24, 2010
Abstract
Sufficient conditions are established for the existence and uniqueness of an ω-periodic solution of the functional differential equation
where f is a continuous operator acting from the space of n-dimensional ω-periodic continuous vector functions into the space of n-dimensional ω-periodic and summable on [0, ω] vector functions.
Key words and phrases.: Functional differential equation; ω-periodic solution; principle of a priori boundedness
Received: 1997-09-12
Published Online: 2010-02-24
Published in Print: 1999-February
© 1999 Plenum Publishing Corporation
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Keywords for this article
Functional differential equation;
ω-periodic solution;
principle of a priori boundedness
Articles in the same Issue
- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
