Existence and uniqueness of periodic solutions of linear differential equations in Banach spaces

DOI10.21136/cmj.1982.101784zbMath0522.34055OpenAlexW2574506449MaRDI QIDQ3672328

Ivan Straškraba

Publication date: 1982

Full work available at URL: https://eudml.org/doc/13295

zbMATH Keywords

existenceperiodic solutionsuniquenesslinear differential equationscomplex Banach space

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear ordinary differential equations and systems (34A30) Linear differential equations in abstract spaces (34G10)

Cites Work

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• The abstract Cauchy problem
• Systems of abstract differential equations in general spaces
• Explicit solution of a class of higher-order abstract Cauchy problems
• Weak solutions for linear abstract differential equations in Banach spaces
• Periodic solutions to a singular abstract differential equation
• Almost periodicity of solutions of the equation $x'(t)=A(t)x(t)$ with unbounded commuting operators
• Periodic solutions of differential operator equations: The method of Fourier expansions
• PERIODIC SOLUTIONS OF ELLIPTICO-PARABOLIC EQUATIONS

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