The adjoint of a linear functional differential equation and boundary value problems

DOI10.1016/0022-0396(70)90153-1zbMath0228.34040OpenAlexW1983889564MaRDI QIDQ2549801

Daniel B. Henry

Publication date: 1971

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90153-1

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Boundary value problems for functional-differential equations (34K10)

Related Items (17)

Unnamed Item ⋮ Unnamed Item ⋮ Large spectral gap induced by small delay and its application to reduction ⋮ Series expansions and small solutions for Volterra equations of convolution type ⋮ The adjoint of a linear functional-differential operator ⋮ Two Point Boundary Value Problems for Nonlinear Functional Differential Equations ⋮ State theory of linear hereditary differential systems ⋮ Eine Existenzaussage für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0 ⋮ Completeness and F-completeness of eigenfunctions associated with retarded functional differential equations ⋮ Structure theory and duality for the time varying retarded functional differential equations ⋮ On the adjoint theory for autonomous linear functional differential equations with unbounded delays ⋮ Optimality for periodic control of functional differential systems ⋮ Small solutions of linear autonomous functional differential equations ⋮ Optimal control of linear stochastic systems with applications to time lag systems ⋮ Normal forms for periodic retarded functional differential equations ⋮ A sharp version of Henry's theorem on small solutions ⋮ Exponential dichotomies and homoclinic orbits in functional differential equations

Cites Work

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• Differential equations: Stability, oscillations, time lags
• Periodic solutions of differential equations with time lag containing a small parameter
• Representations for solutions of linear functional differential equations
• A linear differential system with general linear boundary conditions
• On the theory of linear differential equations with periodic coefficients and time lag
• General Boundary Conditions for an Ordinary Linear Differential System
• An unsymmetric Fubini theorem

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