Periodic boundary value problems for second order differential equations

Irena Rachůnková

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1990)

  • Volume: 29, Issue: 1, page 83-91
  • ISSN: 0231-9721

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Rachůnková, Irena. "Periodic boundary value problems for second order differential equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 29.1 (1990): 83-91. <http://eudml.org/doc/23525>.

@article{Rachůnková1990,
author = {Rachůnková, Irena},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {periodic boundary value problems; second order differential equations; Brouwer degree; Mawhin's continuation theorem; a priori bounds; periodic solutions; topological degree methods},
language = {eng},
number = {1},
pages = {83-91},
publisher = {Palacký University Olomouc},
title = {Periodic boundary value problems for second order differential equations},
url = {http://eudml.org/doc/23525},
volume = {29},
year = {1990},
}

TY - JOUR
AU - Rachůnková, Irena
TI - Periodic boundary value problems for second order differential equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1990
PB - Palacký University Olomouc
VL - 29
IS - 1
SP - 83
EP - 91
LA - eng
KW - periodic boundary value problems; second order differential equations; Brouwer degree; Mawhin's continuation theorem; a priori bounds; periodic solutions; topological degree methods
UR - http://eudml.org/doc/23525
ER -

References

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  1. Bates P.W., Ward Y.R., Periodic solutions of higher order systems, Pac. J. Math. (1979), 84, 275-282. (1979) Zbl0424.34042MR0568650
  2. Conti R., Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. Unione Mat. Ital., (1967), 22, 3, 135-178. (1967) Zbl0154.09101MR0218650
  3. Gaines R.E., Mawhin J.L., Coincidence degree and nonlinear differential equations, Berlin-Heidelberg-New York, Springer Verlag, 1977, 262 p. (1977) Zbl0339.47031MR0637067
  4. Gegelia G.T., O krajevych zadačach tipa periodičeskoj dlja obyknovennych differencialnych uravnenij, Trudy IPM, Tbilisi (1986), 17, 60-93. (1986) MR0853274
  5. Greguš M., Švec M., Šeda V., Obyčajné diferenciálne rovnice, ALFA Bratislava, 1985, 374 p. (1985) 
  6. Hartman P., Ordinary differential equations, (Russian tr.), Mir, Moscow, 1970, 720 p. (1970) Zbl0214.09101MR0352574
  7. Kibenko A.V., Kipnis A.A., O periodičeskich řešenijach nelinejnych differencialnych uravněnij tretjego porjadka, Prikladnyj analiz, Voroněž, 1979, 70-72. (1979) 
  8. Kiguradze I.T., Nekotoryje singuljarnyje krajevyje zadači dlja obyknovennych differencialnych uravnenij, Tbilisi, 1975, 352 p. (1975) MR0499402
  9. Kiguradze I.T., Půža B., O nekotorych krajevych zadačach dlja sistem obyknovennych differencialnych uravněnij, Diff. Ur., (1976), 12, 2139-2148. (1976) MR0473302
  10. Kiguradze I.T., Krajevyje zadači dlja sistem obyknovennych differencialnych uravněnij, Itogi nauki i tech., Sovr. pr. mat., 30, Moscow, 1987, 71-91. (1987) 
  11. Krasnoselskij M.A., Operator sdviga po trajektoriam differencialnych uravnenij, Moscow, Nauka, 19 b, 331 p. (19 b) 
  12. Rachůnková I., The first kind periodic solution of differential equations of the second order, Math.Slovaca (to appear). MR1094763
  13. Sansone G., Equazioni differenziali nel campo reale I, II, (Russian tr.), IL, Moscow, 1954, 346 p., 415 p. (1954) 

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