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Solvability and the Unique Solvability of A Periodic Type Boundary Value Problem for First Order Scalar Functional Differential Equations
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Veröffentlicht/Copyright:
24. Februar 2010
Abstract
Nonimprovable in a certain sense, sufficient conditions for the solvability and unique solvability of the problem
𝑢′ (𝑡) = 𝐹 (𝑢) (𝑡), 𝑢(𝑎) – λ𝑢(𝑏) = ℎ(𝑢)
are established, where 𝐹 : 𝐶([𝑎, 𝑏]; 𝑅) → 𝐿([𝑎, 𝑏];𝑅) is a continuous operator satisfying the Carathéodory condition, ℎ : 𝐶([𝑎, 𝑏]; 𝑅) → 𝑅 is a continuous functional, and λ ∈ 𝑅+.
Key words and phrases:: Functional differential equations; periodic type boundary value problem; existence and uniqueness
Received: 2002-01-30
Published Online: 2010-02-24
Published in Print: 2002-September
© Heldermann Verlag
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Artikel in diesem Heft
- On Appel-Type Quadrature Rules
- On Obtaining Dual Sequences Via Quasi-Monomiality
- Some Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations
- Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence
- On A Generalization of the Dirichlet Integral
- On Ideals with Projective Bases
- Pseudo-Bessel Functions and Applications
- Holomorphic Framings for Projections in A Banach Algebra
- On Intersections of Small Perfect Sets
- On A Problem of Linear Conjugation in the Case of Nonsmooth Lines and Some Measurable Coefficients
- Solvability and the Unique Solvability of A Periodic Type Boundary Value Problem for First Order Scalar Functional Differential Equations
- On A Multiplicativity up to Homotopy of the Gugenheim Map
- Frame Characterizations of Besov and Triebel–Lizorkin Spaces on Spaces of Homogeneous Type and their Applications
- Nonexpansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces
Schlagwörter für diesen Artikel
Functional differential equations;
periodic type boundary value problem;
existence and uniqueness
Artikel in diesem Heft
- On Appel-Type Quadrature Rules
- On Obtaining Dual Sequences Via Quasi-Monomiality
- Some Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations
- Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence
- On A Generalization of the Dirichlet Integral
- On Ideals with Projective Bases
- Pseudo-Bessel Functions and Applications
- Holomorphic Framings for Projections in A Banach Algebra
- On Intersections of Small Perfect Sets
- On A Problem of Linear Conjugation in the Case of Nonsmooth Lines and Some Measurable Coefficients
- Solvability and the Unique Solvability of A Periodic Type Boundary Value Problem for First Order Scalar Functional Differential Equations
- On A Multiplicativity up to Homotopy of the Gugenheim Map
- Frame Characterizations of Besov and Triebel–Lizorkin Spaces on Spaces of Homogeneous Type and their Applications
- Nonexpansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces
