Periodic boundary value problem in Hilbert space for differential equation of second order with reflection of the argument

Boris Rudolf

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 1, page 65-84
  • ISSN: 0232-0525

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Rudolf, Boris. "Periodic boundary value problem in Hilbert space for differential equation of second order with reflection of the argument." Mathematica Slovaca 42.1 (1992): 65-84. <http://eudml.org/doc/31841>.

@article{Rudolf1992,
author = {Rudolf, Boris},
journal = {Mathematica Slovaca},
keywords = {Leray-Schauder theorem; Hilbert space; boundary value problem; periodic boundary conditions},
language = {eng},
number = {1},
pages = {65-84},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Periodic boundary value problem in Hilbert space for differential equation of second order with reflection of the argument},
url = {http://eudml.org/doc/31841},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Rudolf, Boris
TI - Periodic boundary value problem in Hilbert space for differential equation of second order with reflection of the argument
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 1
SP - 65
EP - 84
LA - eng
KW - Leray-Schauder theorem; Hilbert space; boundary value problem; periodic boundary conditions
UR - http://eudml.org/doc/31841
ER -

References

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  1. GUPTA, CHAITAN P., Boundary value problems for differential equations in Hilbert spaces involving reflection of the argument, J, Math. Anal. Appl. 128 (1987), 375-388. (1987) Zbl0658.34053MR0917372
  2. HARDY G. H., LITTLEWOOD J. E., POLYA G., Inequalities, Camgridge University Press, London-New York, 1952. (1952) Zbl0047.05302
  3. KUFNER A., FUČÍK S., Nelineární diferenciální rovnice, SNTL, Praha, 1978. (1978) Zbl0474.35001
  4. REKTORYS K., Variační metody v inženýrských problémech a v problémech matematické fyziky, SNTL, Praha, 1974. (1974) Zbl0371.35001MR0487652
  5. DEIMLING K., Ordinary Differential Equations in Banach Spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1977. (1977) Zbl0361.34050MR0463601
  6. SCHMITT K., THOMPSON R., Boundary value problems for infinite systems of second-order differential equations, J. Differential Equations 18 (1975), 277-295. (1975) MR0374594
  7. ZEIDLER E., Vorlesungen über nichtlineare Funktionalanalysis I, Teubner Verlag, Leipzig, 1976. (1976) Zbl0326.47053MR0628004

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