On the solvability and the dimension of the solution set of abstract linear boundary value problems and applications to ODE's

DOI10.1016/J.JMAA.2023.128029MaRDI QIDQ6150482

P. S. Milojević

Publication date: 8 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationscovering dimensionexponential dichotomynormal solvabilityasymptotic hyperbolicitylinear boundary values problems

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
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• Dichotomies in stability theory
• Basic theory of ordinary differential equations
• Ordinary differential operators in Hilbert spaces and Fredholm pairs
• Exponential dichotomies and transversal homoclinic points
• Boundary value problems for first order systems on the half-line
• Riccati inequality and functional properties of differential operators on the half line
• Linear differential equations and functional analysis. IV
• Exponential Dichotomies and Fredholm Operators
• Dichotomies and Asymptotic Behaviour for Linear Differential Systems

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