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On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
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I. Kiguradze
Published/Copyright:
February 23, 2010
Abstract
For the functional differential equation u(n)(t) = ƒ(u)(t) we have established the sufficient conditions for solvability and unique solvability of the boundary value problems
and
where n ≥ 2, m is the integer part of 
, ci ∈ R, and ƒ is the continuous operator acting from the space of (n – 1)-times continuously differentiable functions given on an interval [0, +∞[ into the space of locally Lebesgue integrable functions.
Key words and phrases.: Functional differential equation; boundary value problem; integral condition
Received: 1993-12-08
Published Online: 2010-02-23
Published in Print: 1995-April
© 1995 Plenum Publishing Corporation
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Keywords for this article
Functional differential equation;
boundary value problem;
integral condition
Articles in the same Issue
- The Boundary-Contact Problem of Elasticity for Homogeneous Anisotropic Media with a Contact on Some Part of the Boundaries
- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
- Sequential Convergence in Topological Vector Spaces
- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
- The Cauchy–Nicoletti Problem with Poles
