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A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order
-
Robert Hakl
and Sulkhan Mukhigulashvili
Published/Copyright:
March 11, 2010
Abstract
On the interval [0,ฯ], consider the periodic boundary value problem

where ๐ โฅ 2, ๐๐ : ๐ถ([0,ฯ];๐ ) โ ๐ฟ([0,ฯ];๐ ) (๐ = 0,โฆ,๐ โ 1) are linear bounded operators, ๐ โ ๐ฟ([0,ฯ];๐ ), ๐๐ โ ๐ (๐ = 0,โฆ,๐ โ 1). The effective sufficient conditions guaranteeing the unique solvability of the considered problem are established.
Received: 2008-07-17
Published Online: 2010-03-11
Published in Print: 2009-December
ยฉ Heldermann Verlag
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Keywords for this article
Functional differential equation;
boundary value problem;
periodic solution
Articles in the same Issue
- On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems
- Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations
- Unilateral Contact Problems with Friction for Hemitropic Elastic Solids
- A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order
- The JawerthโFranke Embedding of Spaces with Dominating Mixed Smoothness
- Stability by Fixed Point Theory for Nonlinear Delay Difference Equations
- On the Rates of Convergence of ChlodovskyโDurrmeyer Operators and their Bรฉzier Variant
- On Nonmeasurable Functions of Two Variables and Iterated Integrals
- Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
- On Functional Equations Connected with Quadrature Rules
- The RiemannโHilbert Problem in a Domain with Piecewise Smooth Boundaries in Weight Classes of Cauchy Type Integrals with a Density from Variable Exponent Lebesgue Spaces
- A Counterexample on Embedding of Spaces
- On Solutions of a Singular Viscoelastic Equation with an Integral Condition
- Nonbounding ๐-C.E. ๐-Degrees
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