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Russia Perm
Year
2013
Issue
3
Pages
3-19
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Section Mathematics
Title On unimprovable conditions of the solvability of the periodic problem for second order functional differential equations
Author(-s) Bravyi E.I.a
Affiliations Perm National Research Polytechnical Universitya
Abstract Necessary and sufficient conditions for the unique solvability of the periodic boundary value problem for all linear second order functional differential equations with the given norm of the functional operators.
Keywords linear equations with delay, periodic boundary value problem, periodic solutions, functional differential equations
UDC 517.917
MSC 34K06, 34K10, 34K13
DOI 10.20537/vm130301
Received 15 June 2013
Language Russian
Citation Bravyi E.I. On unimprovable conditions of the solvability of the periodic problem for second order functional differential equations, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 3, pp. 3-19.
References
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  8. Bravyi E.I. On the best constants in the solvability conditions for the periodic boundary value problem for higher-order functional differential equations, Differ. Uravn., 2012, vol. 48, no. 6, pp. 773-780.
  9. Bravyi E.I. Razreshimost' kraevykh zadach dlya lineinykh funktsional'no-differentsial'nykh uravnenii (The solvability of boundary value problems for linear functional differential equations), Moscow-Izhevsk: Regular & Chaotic Dynamics, 2011, 372 p.
  10. Bravyi E.I. On the solvability of the periodic boundary value problem for a linear functional differential equation, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2009, no. 3, pp. 12-24.
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